Edit Profile (opens in new tab) Mansour, Toufik Co-Author Distance Author ID: mansour.toufik Published as: Mansour, Toufik; Mansour, T. Homepage: http://math.haifa.ac.il/toufik/manpubff.html External Links: ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 511 Publications since 2000, including 3 Books Reviewing Activity: 54 Reviews Co-Authors: 153 Co-Authors with 438 Joint Publications 3,201 Co-Co-Authors all top 5 Co-Authors 46 single-authored 104 Shattuck, Mark A. 37 Schork, Matthias 27 Kim, Taekyun 27 Knopfmacher, Arnold 20 Blecher, Aubrey 19 Gross, Jonathan L. 19 Kim, Dae San 19 Shabani, Armend Shaban 18 Brennan, Charlotte Alix 15 Callan, David 15 Elumalai, Suresh 15 Tucker, Thomas W. 13 Kitaev, Sergey 13 Munagi, Augustine O. 12 Rastegar, Reza 10 Ma, Shi-Mei 10 Wang, David Guo-Liang 9 Chen, Yichao 9 Heubach, Silvia 9 Jelínek, Vít 9 Ramírez, José Luis 9 Severini, Simone 9 Song, Chunwei 8 Archibald, Margaret 8 Kwon, Hyuck In 8 Sun, Yidong 7 Braha, Naim Latif 7 Burstein, Alexander 7 Wagner, Stephan G. 6 Asinowski, Andrei 6 Cakić, Nenad P. 6 Dolgiĭ, Dmitriĭ Viktorovich 6 Herscovici, Orli 6 Rim, Seog-Hoon 6 Rostami, Mohammad-Ali 6 Vainshtein, Alek 5 Chow, Chak-On 5 Egge, Eric S. 5 Li, Nelson Y. 5 Roitershtein, Alexander 5 Yan, Sherry H. F. 5 Yıldırım, Gökhan 4 Asakly, Walaa 4 Bagno, Eli 4 Dukes, W. M. B. 4 Garber, David 4 Hou, Qinghu 4 Krasniqi, Valmir B. 4 Mursaleen, Mohammad 4 Vajnovszki, Vincent 3 Ali, Akbar 3 Balachandran, Selvaraj 3 Deng, Eva Y. P. 3 Dukes, Mark 3 Firro, Ghassan 3 Nassar, Ghalib 3 Reifegerste, Astrid 3 Séébold, Patrice 3 Yaqubi, Daniel 3 Zou, Qian 2 Barequet, Gill 2 Cho, Young-Ki 2 Claesson, Anders 2 Das, Kinkar Chandra 2 Elizalde, Sergi 2 Guibert, Olivier 2 Jang, Gwan-Woo 2 Krattenthaler, Christian Friedrich 2 Lee, Sang Hun 2 Loku, Valdete 2 Mphako-Banda, Eunice Gogo 2 Mulay, Shashikant B. 2 Pinter, Ron Yair 2 Prodinger, Helmut 2 Skogman, Howard 2 Wilson, Mark Curtis 2 Yalcinkaya, Ibrahim 2 Yeh, Yeong-Nan 1 Acar, Tuncer 1 Adiprasito, Karim Alexander 1 Agarwal, Praveen 1 Albert, Michael Henry 1 Alon, Noga 1 Andrews, George Eyre 1 Arıkan, Talha 1 Banerji, Christopher R. S. 1 Baril, Jean-Luc 1 Bates, Bruce 1 Bebeacua, Cecilia 1 Bender, Edward Anton 1 Bényi, Beáta 1 Bevilacqua, Giulia 1 Biancalana, V. 1 Bousquet-Mélou, Mireille 1 Brändén, Petter 1 Cai, Xuanting 1 Chen, William Yong-Chuan 1 Cheon, Gi-Sang 1 Chudnovsky, Maria 1 Chung, Won-Sang ...and 80 more Co-Authors all top 5 Serials 28 Enumerative Combinatorics and Applications 22 Discrete Applied Mathematics 22 Discrete Mathematics 21 The Electronic Journal of Combinatorics 20 Journal of Difference Equations and Applications 18 PU.M.A. Pure Mathematics and Applications 17 European Journal of Combinatorics 17 Advances in Applied Mathematics 12 The Australasian Journal of Combinatorics 12 Applicable Analysis and Discrete Mathematics 11 Annals of Combinatorics 11 Discrete Mathematics and Theoretical Computer Science. DMTCS 11 DML. Discrete Mathematics Letters 9 Journal of Automata, Languages and Combinatorics 9 Journal of Integer Sequences 9 Online Journal of Analytic Combinatorics 9 Journal of Combinatorics 8 Applied Mathematics and Computation 8 Ars Combinatoria 8 Séminaire Lotharingien de Combinatoire 8 Advanced Studies in Contemporary Mathematics (Kyungshang) 7 Journal of Mathematical Physics 6 Mathematica Slovaca 6 Russian Journal of Mathematical Physics 6 Turkish Journal of Mathematics 6 Integers 6 Annales Mathematicae et Informaticae 5 Filomat 5 Central European Journal of Mathematics 5 Mathematics in Computer Science 5 Journal of Combinatorics and Number Theory 5 Discrete Mathematics, Algorithms and Applications 5 Afrika Matematika 4 Journal of Mathematical Analysis and Applications 4 Utilitas Mathematica 4 Notes on Number Theory and Discrete Mathematics 4 Journal of Inequalities and Applications 4 Journal of Computational Analysis and Applications 4 Advances in Difference Equations 3 Journal of Combinatorial Theory. Series A 3 Journal of Computational and Applied Mathematics 3 Quaestiones Mathematicae 3 Applied Mathematics Letters 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 JIPAM. Journal of Inequalities in Pure & Applied Mathematics 3 Forum Geometricorum 3 JMMA. Journal of Mathematical Modelling and Algorithms 3 MATCH - Communications in Mathematical and in Computer Chemistry 3 Applications and Applied Mathematics 3 Journal of Physics A: Mathematical and Theoretical 3 Electronic Journal of Graph Theory and Applications 3 Discrete Mathematics and its Applications 3 The Art of Discrete and Applied Mathematics 2 Information Processing Letters 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 The Fibonacci Quarterly 2 International Journal of Mathematics and Mathematical Sciences 2 Kyungpook Mathematical Journal 2 Acta Applicandae Mathematicae 2 Graphs and Combinatorics 2 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 2 SIAM Journal on Discrete Mathematics 2 Linear Algebra and its Applications 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Journal of Algebraic Combinatorics 2 Congressus Numerantium 2 The Ramanujan Journal 2 Asian-European Journal of Mathematics 2 Ars Mathematica Contemporanea 2 Transactions on Combinatorics 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Journal of Graph Theory 1 Le Matematiche 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Theoretical Computer Science 1 Southeast Asian Bulletin of Mathematics 1 Journal of Mathematical Research & Exposition 1 Bulletin of the Korean Mathematical Society 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Symbolic Computation 1 Discrete & Computational Geometry 1 Discrete Mathematics and Applications 1 Indagationes Mathematicae. New Series 1 Advances in Applied Clifford Algebras 1 Journal of Mathematical Chemistry 1 Mathematical Communications 1 Taiwanese Journal of Mathematics 1 Mathematical Inequalities & Applications 1 Journal of Discrete Mathematical Sciences & Cryptography ...and 13 more Serials all top 5 Fields 418 Combinatorics (05-XX) 110 Number theory (11-XX) 40 Computer science (68-XX) 28 History and biography (01-XX) 26 Special functions (33-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 14 Functions of a complex variable (30-XX) 13 Quantum theory (81-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Probability theory and stochastic processes (60-XX) 11 Real functions (26-XX) 11 Biology and other natural sciences (92-XX) 8 Sequences, series, summability (40-XX) 7 Group theory and generalizations (20-XX) 7 Difference and functional equations (39-XX) 7 Approximations and expansions (41-XX) 6 Numerical analysis (65-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 4 Ordinary differential equations (34-XX) 4 Information and communication theory, circuits (94-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Partial differential equations (35-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 371 Publications have been cited 2,017 times in 1,172 Documents Cited by ▼ Year ▼ Combinatorics of compositions and words. Zbl 1184.68373Heubach, Silvia; Mansour, Toufik 85 2009 Commutation relations, normal ordering, and Stirling numbers. Zbl 1335.05001Mansour, Toufik; Schork, Matthias 49 2016 Combinatorics of set partitions. Zbl 1261.05002Mansour, Toufik 42 2012 Pattern avoidance in inversion sequences. Zbl 1374.05019Mansour, Toufik; Shattuck, Mark 33 2015 Further extended Caputo fractional derivative operator and its applications. Zbl 1384.26026Agarwal, Praveen; Jain, S.; Mansour, T. 28 2017 Staircase tilings and \(k\)-Catalan structures. Zbl 1158.05006Heubach, Silvia; Li, Nelson Y.; Mansour, Toufik 25 2008 Restricted 132-avoiding permutations. Zbl 0982.05002Mansour, Toufik; Vainshtein, Alek 25 2001 Kernel method and linear recurrence system. Zbl 1138.65108Hou, Qing-Hu; Mansour, Toufik 24 2008 The vertex PI index and Szeged index of bridge graphs. Zbl 1182.92073Mansour, Toufik; Schork, Matthias 24 2009 On a new family of generalized Stirling and Bell numbers. Zbl 1217.05030Mansour, Toufik; Schork, Matthias; Shattuck, Mark 23 2011 Restricted permutations and Chebyshev polynomials. Zbl 1022.05005Mansour, T.; Vainshtein, A. 22 2002 Statistics on Dyck paths. Zbl 1101.05006Mansour, Toufik 20 2006 Combinatorial identities and inverse binomial coefficients. Zbl 1004.05011Mansour, Toufik 20 2002 Restricted permutations, continued fractions, and Chebyshev polynomials. Zbl 0940.05001Mansour, Toufik; Vainshtein, Alek 20 2000 Log-concavity of combinations of sequences and applications to genus distributions. Zbl 1314.05012Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W.; Wang, David G. L. 20 2015 Identities involving Narayana polynomials and Catalan numbers. Zbl 1191.05016Mansour, Toufik; Sun, Yidong 19 2009 On pattern-avoiding partitions. Zbl 1179.05014Jelínek, Vít; Mansour, Toufik 19 2008 Umbral calculus associated with Frobenius-type Eulerian polynomials. Zbl 1318.11037Kim, Taekyun; Mansour, Toufik 19 2014 Compositions of \(n\) with parts in a set. Zbl 1067.05004Heubach, Silvia; Mansour, Toufik 18 2004 Counting peaks at height \(k\) in a Dyck path. Zbl 1012.05004Mansour, Toufik 18 2002 The PI index of bridge and chain graphs. Zbl 1199.05094Mansour, Toufik; Schork, Matthias 18 2009 The \(1 / k\)-Eulerian polynomials and \(k\)-Stirling permutations. Zbl 1310.05009Ma, Shi-Mei; Mansour, Toufik 17 2015 Words restricted by patterns with at most 2 distinct letters. Zbl 1021.05002Burstein, Alexander; Mansour, Toufik 16 2003 The \(q\)-Calkin-Wilf tree. Zbl 1232.05025Bates, Bruce; Mansour, Toufik 16 2011 Counting corners in compositions and set partitions presented as bargraphs. Zbl 1390.05014Mansour, Toufik; Shabani, Armend Sh.; Shattuck, Mark 16 2018 Norms of circulant and semicirculant matrices with Horadam’s numbers. Zbl 1204.11039Kocer, Gokcen E.; Mansour, Toufik; Tuglu, Naim 16 2007 Finite automata and pattern avoidance in words. Zbl 1059.05003Brändén, Petter; Mansour, Toufik 15 2005 The generalized Stirling and Bell numbers revisited. Zbl 1294.05017Mansour, Toufik; Schork, Matthias; Shattuck, Mark 15 2012 Umbral calculus and Sheffer sequences of polynomials. Zbl 1285.05015Kim, Taekyun; Kim, Dae San; Mansour, Toufik; Rim, Seog-Hoon; Schork, Matthias 15 2013 Some statistics on restricted 132 involutions. Zbl 1017.05009Guibert, Olivier; Mansour, Toufik 14 2002 A formula for the generating functions of powers of Horadam’s sequence. Zbl 1053.05008Mansour, Toufik 14 2004 Restricted 132-alternating permutations and Chebyshev polynomials. Zbl 1020.05002Mansour, Toufik 13 2003 Bell polynomials and \(k\)-generalized Dyck paths. Zbl 1144.05007Mansour, Toufik; Sun, Yidong 13 2008 A comment on Ryser’s conjecture for intersecting hypergraphs. Zbl 1211.05094Mansour, Toufik; Song, Chunwei; Yuster, Raphael 13 2009 Counting occurrences of 132 in a permutation. Zbl 1005.05001Mansour, Toufik; Vainshtein, Alek 13 2002 A generalization of the \(r\)-Whitney numbers of the second kind. Zbl 1352.05031Mansour, Toufik; Ramírez, José L.; Shattuck, Mark 13 2017 Counting occurrences of a pattern of type (1, 2) or (2, 1) in permutations. Zbl 1013.05006Claesson, Anders; Mansour, Toufik 12 2002 On the symmetric division deg index of molecular graphs. Zbl 1472.92266Ali, Akbar; Elumalai, Suresh; Mansour, Toufik 12 2020 Protected points in \(k\)-ary trees. Zbl 1214.05009Mansour, Toufik 12 2011 Counting occurrences of some subword patterns. Zbl 1025.68026Burstein, Alexander; Mansour, Toufik 11 2003 Avoiding patterns of length three in compositions and multiset permutations. Zbl 1088.05010Heubach, Silvia; Mansour, Toufik 11 2006 The commutation relation \(xy=qyx+hf(y)\) and Newton’s binomial formula. Zbl 1226.05028Mansour, Toufik; Schork, Matthias 11 2011 Bargraph statistics on words and set partitions. Zbl 1371.05014Mansour, Toufik; Shattuck, Mark 11 2017 Partial duality for ribbon graphs. I: distributions. Zbl 1437.05060Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 11 2020 Layered restrictions and Chebyshev polynomials. Zbl 0988.05003Mansour, Toufik; Vainshtein, Alek 10 2001 2-binary trees: bijections and related issues. Zbl 1134.05018Gu, Nancy S. S.; Li, Nelson Y.; Mansour, Toufik 10 2008 On \(\Lambda^2\)-strong convergence of numerical sequences and Fourier series. Zbl 1299.40017Braha, N. L.; Mansour, T. 10 2013 Modified approach to generalized Stirling numbers via differential operators. Zbl 1230.05025El-Desouky, B. S.; Cakić, Nenad P.; Mansour, Toufik 10 2010 A note on \(q\)-Daehee polynomials and numbers. Zbl 1301.11021Kim, Taekyun; Lee, Sang-Hun; Mansour, Toufik; Seo, Jong-Jin 10 2014 Fourier series of functions related to Bernoulli polynomials. Zbl 1404.42006Jang, Gwan-Woo; Kim, Dae San; Kim, Taekyun; Mansour, Toufik 10 2017 A statistic on \(n\)-color compositions and related sequences. Zbl 1307.05015Mansour, Toufik; Shattuck, Mark 10 2013 Counting derangements, involutions and unimodal elements in the wreath product \(C_r\wr\mathfrak S_n\). Zbl 1201.05007Chow, Chak-On; Mansour, Toufik 10 2010 On the X-rays of permutations. Zbl 1179.05003Bebeacua, Cecilia; Mansour, Toufik; Postnikov, Alex; Severini, Simone 9 2005 Restricted 1-3-2 permutations and generalized patterns. Zbl 1009.05002Mansour, Toufik 9 2002 Wick’s theorem for \(q\)-deformed boson operators. Zbl 1117.81083Mansour, Toufik; Schork, Matthias; Severini, Simone 9 2007 The \(a\) and \((a, b)\)-analogs of Zagreb indices and coindices of graphs. Zbl 1236.05074Mansour, Toufik; Song, Chunwei 9 2012 The perimeter of words. Zbl 1367.05031Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 9 2017 Orders induced by segments in floorplans and (2-14-3, 3-41-2)-avoiding permutations. Zbl 1267.05018Asinowski, Andrei; Barequet, Gill; Bousquet-Mélou, Mireille; Mansour, Toufik; Pinter, Ron Y. 9 2013 On a fuzzy difference equation. Zbl 1309.39009Hatir, Esref; Mansour, Toufik; Yalçinkaya, İbrahim 9 2014 Interior vertices in set partitions. Zbl 1401.05036Mansour, Toufik 9 2018 Convergence of \(\lambda\)-Bernstein operators via power series summability method. Zbl 1487.40006Braha, Naim L.; Mansour, Toufik; Mursaleen, M.; Acar, Tuncer 9 2021 Counting subwords in flattened partitions of sets. Zbl 1314.05022Mansour, Toufik; Shattuck, Mark; Wagner, Stephan 8 2015 Evaluation of spherical GJMS determinants. Zbl 1322.81070Dowker, J. S.; Mansour, Toufik 8 2015 Enumeration of \((k,2)\)-noncrossing partitions. Zbl 1162.05002Mansour, Toufik; Severini, Simone 8 2008 Three-letter-pattern avoiding permutations and functional equations. Zbl 1100.05002Firro, Ghassan; Mansour, Toufik 8 2006 Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials. Zbl 1078.05002Elizalde, Sergi; Mansour, Toufik 8 2005 On the difference equation of higher order. Zbl 1311.39016Çinar, Cengiz; Mansour, Toufik; Yalçinkaya, İbrahim 8 2013 Dyck paths and partial Bell polynomials. Zbl 1153.05005Mansour, Toufik; Sun, Yidong 8 2008 Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs. Zbl 1379.92077Mansour, Toufik; Schork, Matthias 8 2010 Embedding distributions of generalized fan graphs. Zbl 1264.05037Chen, Yichao; Mansour, Toufik; Zou, Qian 8 2013 Two further generalizations of the Calkin-Wilf tree. Zbl 1269.05011Mansour, Toufik; Shattuck, Mark 8 2011 Some enumerative results related to ascent sequences. Zbl 1278.05010Mansour, Toufik; Shattuck, Mark 8 2014 Efficient generation of restricted growth words. Zbl 1284.68488Mansour, Toufik; Vajnovszki, Vincent 8 2013 A new combinatorial interpretation of a \(q\)-analogue of the Lah numbers. Zbl 1247.05015Lindsay, Jim; Mansour, Toufik; Shattuck, Mark 8 2011 On the bounds of the forgotten topological index. Zbl 1424.05054Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali 8 2017 Enumerations on bargraphs. Zbl 1454.05009Mansour, Toufik; Shabani, Armend Sh. 8 2019 A generalization of boson normal ordering. Zbl 1203.81084Mansour, Toufik; Schork, Matthias; Severini, Simone 8 2007 Packing patterns into words. Zbl 1031.05007Burstein, Alexander; Hästö, Peter; Mansour, Toufik 7 2003 Counting rises, levels, and drops in compositions. Zbl 1077.05003Heubach, Silvia; Mansour, Toufik 7 2005 Words restricted by 3-letter generalized multipermutation patterns. Zbl 1017.05001Burstein, Alexander; Mansour, Toufik 7 2003 Enumerating permutations avoiding a pair of Babson-Steingrímsson patterns. Zbl 1154.05302Claesson, Anders; Mansour, Toufik 7 2005 Pattern avoidance in coloured permutations. Zbl 0986.05004Mansour, Toufik 7 2001 Dyck paths with coloured ascents. Zbl 1189.05011Asinowski, Andrei; Mansour, Toufik 7 2008 Separable \(d\)-permutations and guillotine partitions. Zbl 1233.05004Asinowski, Andrei; Mansour, Toufik 7 2010 The PI index of polyomino chains of \(4k\)-cycles. Zbl 1203.05044Mansour, Toufik; Schork, Matthias 7 2010 Records in set partitions. Zbl 1193.05024Knopfmacher, Arnold; Mansour, Toufik; Wagner, Stephan 7 2010 Some properties of Kantorovich-Stancu-type generalization of Szász operators including Brenke-type polynomials via power series summability method. Zbl 1447.41009Braha, Naim Latif; Mansour, Toufik; Mursaleen, Mohammad 7 2020 Avoiding 2-letter signed patterns. Zbl 1031.05003Mansour, Toufik; West, Julian 6 2002 Combinatorial methods and recurrence relations with two indices. Zbl 1136.05301Mansour, Toufik 6 2006 Pattern avoidance in matrices. Zbl 1064.05015Kitaev, Sergey; Mansour, Toufik; Vella, Antoine 6 2005 Counting corners in partitions. Zbl 1332.05014Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 6 2016 The \(q\)-deformed gamma function and \(q\)-deformed polygamma function. Zbl 1375.33027Chung, Won Sang; Kim, Taekyun; Mansour, Toufik 6 2014 Log-concavity of genus distributions of ring-like families of graphs. Zbl 1300.05079Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 6 2014 Motzkin numbers of higher rank: generating function and explicit expression. Zbl 1141.05308Mansour, Toufik; Schork, Matthias; Sun, Yidong 6 2007 Combinatorial Gray codes for classes of pattern avoiding permutations. Zbl 1138.68042Dukes, W. M. B.; Flanagan, M. F.; Mansour, T.; Vajnovszki, V. 6 2008 Three Hoppy path problems and ternary paths. Zbl 1137.05006Deng, Eva Y. P.; Mansour, Toufik 6 2008 A general two-term recurrence and its solution. Zbl 1229.05025Mansour, Toufik; Mulay, Shashikant; Shattuck, Mark 6 2012 Embedding distributions and Chebyshev polynomials. Zbl 1256.05054Chen, Yichao; Mansour, Toufik; Zou, Qian 6 2012 Total embedding distributions of circular ladders. Zbl 1272.05122Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik 6 2013 A combinatorial approach to a general two-term recurrence. Zbl 1371.11035Mansour, Toufik; Shattuck, Mark 6 2013 An algorithmic approach based on generating trees for enumerating pattern-avoiding inversion sequences. Zbl 07725356Kotsireas, Ilias; Mansour, Toufik; Yıldırım, Gökhan 1 2024 Generating trees for 0021-avoiding inversion sequences and a conjecture of Hong and Li. Zbl 07680478Mansour, Toufik 1 2023 Further enumeration results concerning a recent equivalence of restricted inversion sequences. Zbl 1490.05005Mansour, Toufik; Shattuck, Mark 3 2022 Alternating Eulerian polynomials and left peak polynomials. Zbl 1504.11042Ma, Shi-Mei; Fang, Qi; Mansour, Toufik; Yeh, Yeong-Nan 2 2022 Shifting powers in Spivey’s Bell number formula. Zbl 1492.05013Mansour, Toufik; Rastegar, Reza; Roitershtein, Alexander; Shattuck, Mark 1 2022 A decomposition of column-convex polyominoes and two vertex statistics. Zbl 07557141Cakić, Nenad; Mansour, Toufik; Yıldırım, Gökhan 1 2022 Smooth column convex polyominoes. Zbl 1495.05026Mansour, Toufik; Shabani, Armend Sh. 1 2022 On the Merrifield-Simmons index of tricyclic graphs. Zbl 1498.05069Das, Kinkar Chandra; Elumalai, Suresh; Ghosh, Surojit; Mansour, Toufik 1 2022 Convergence of \(\lambda\)-Bernstein operators via power series summability method. Zbl 1487.40006Braha, Naim L.; Mansour, Toufik; Mursaleen, M.; Acar, Tuncer 9 2021 Counting lattice points on bargraphs of Catalan words. Zbl 07465798Mansour, Toufik; Ramírez, José L.; Toquica, Diana A. 5 2021 Partial duality for ribbon graphs. II: Partial-twuality polynomials and monodromy computations. Zbl 1466.05050Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 4 2021 Statistics on bargraphs of Catalan words. Zbl 1517.68311Callan, David; Mansour, Toufik; Ramírez, José L. 3 2021 Approximation by modified Meyer-König and Zeller operators via power series summability method. Zbl 1481.40004Braha, Naim L.; Mansour, Toufik; Mursaleen, M. 2 2021 Horizontal visibility graph of a random restricted growth sequence. Zbl 1456.05015Mansour, Toufik; Rastegar, Reza; Roitershtein, Alexander 2 2021 Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials. Zbl 1494.41010Loku, Valdete; Braha, Naim L.; Mansour, Toufik; Mursaleen, M. 2 2021 On column-convex and convex Carlitz polyominoes. Zbl 07465808Mansour, Toufik; Rastegar, Reza; Shabani, Armend Sh. 1 2021 Enumerations on polyominoes determined by Fuss-Catalan words. Zbl 1484.05016Mansour, Toufik; Ramírez, José L. 1 2021 Fixed points of a random restricted growth sequence. Zbl 1469.05011Mansour, Toufik; Rastegar, Reza 1 2021 On conjecture of Merrifield-Simmons index. Zbl 1451.05047Das, Kinkar Chandra; Elumalai, Suresh; Ghosh, Arpita; Mansour, Toufik 1 2021 On the differential equation of first and second order in the Zeon algebra. Zbl 1460.05201Mansour, Toufik; Schork, Matthias 1 2021 A short note on inverse sum indeg index of graphs. Zbl 1459.05047Balachandran, Selvaraj; Elumalai, Suresh; Mansour, Toufik 1 2021 Partial duality for ribbon graphs. III: A gray code algorithm for enumeration. Zbl 1479.05076Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 1 2021 On the symmetric division deg index of molecular graphs. Zbl 1472.92266Ali, Akbar; Elumalai, Suresh; Mansour, Toufik 12 2020 Partial duality for ribbon graphs. I: distributions. Zbl 1437.05060Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 11 2020 Some properties of Kantorovich-Stancu-type generalization of Szász operators including Brenke-type polynomials via power series summability method. Zbl 1447.41009Braha, Naim Latif; Mansour, Toufik; Mursaleen, Mohammad 7 2020 On the complementary equienergetic graphs. Zbl 1472.92267Ali, Akbar; Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali 5 2020 Recurrences for the genus polynomials of linear sequences of graphs. Zbl 1505.05046Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 5 2020 Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations. Zbl 1437.05010Mansour, Toufik; Rastegar, Reza; Roitershtein, Alexander 5 2020 Genus polynomials of ladder-like sequences of graphs. Zbl 1453.05052Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 3 2020 Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees. Zbl 1451.05037Mansour, Toufik; Rastegar, Reza 3 2020 Permutations avoiding 312 and another pattern, Chebyshev polynomials and longest increasing subsequences. Zbl 1433.05012Mansour, Toufik; Yıldırım, Gökhan 3 2020 Statistics on bargraphs of inversion sequences of permutations. Zbl 1463.05003Mansour, Toufik; Shattuck, Mark 2 2020 Visibility in pattern-restricted permutations. Zbl 1470.05011Mansour, Toufik; Shattuck, Mark 2 2020 On the \(n\)-vertex trees with sixth to fifteenth maximum harmonic indices. Zbl 1463.05063Ali, Akbar; Balachandran, Selvaraj; Elumalai, Suresh; Mansour, Toufik 2 2020 The perimeter of 2-compositions. Zbl 1458.05029Mansour, Toufik; Shabani, Armend Sh. 2 2020 Enumeration and Wilf-classification of permutations avoiding four patterns of length 4. Zbl 1463.05002Mansour, Toufik 1 2020 Enumerations of bargraphs with respect to corner statistics. Zbl 1474.05005Mansour, Toufik; Yıldırım, Gökhan 1 2020 Pushes in permutations. Zbl 1467.05002Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik; Shattuck, Mark 1 2020 Counting set partitions by the number of movable letters. Zbl 1435.05029Mansour, Toufik; Shattuck, Mark 1 2020 On the second order differential equation involving two ordinary and one para-Grassmann variable. Zbl 1442.35070Mansour, Toufik; Schork, Matthias 1 2020 Enumerations on bargraphs. Zbl 1454.05009Mansour, Toufik; Shabani, Armend Sh. 8 2019 On the general zeroth-order Randić index of bargraphs. Zbl 1449.05051Elumalai, Suresh; Mansour, Toufik 5 2019 Border and tangent cells in bargraphs. Zbl 1438.05014Mansour, Toufik 5 2019 Several variants of the Dumont differential system and permutation statistics. Zbl 1425.05011Ma, Shi-Mei; Mansour, Toufik; Wang, David G. L.; Yeh, Yeong-Nan 3 2019 Harary index of bipartite graphs. Zbl 1467.05038Deng, Hanyuan; Balachandran, Selvaraj; Elumalai, Suresh; Mansour, Toufik 3 2019 Circular bargraphs. Zbl 1428.05017Cakić, Nenad; Mansour, Toufik; Shabani, Armend Sh. 2 2019 On ballistic deposition process on a strip. Zbl 1427.60208Mansour, Toufik; Rastegar, Reza; Roitershtein, Alexander 2 2019 Counting \(1\times 2\) rectangles in set partitions. Zbl 1415.05010Cakić, Nenad; Mansour, Toufik; Shabani, Armend S. 2 2019 Counting visible levels in bargraphs and set partitions. Zbl 1499.05056Cakić, Nenad; Mansour, Toufik; Smith, Rebecca 2 2019 Longest increasing subsequences in involutions avoiding patterns of length three. Zbl 1432.05005Mansour, Toufik; Yildirim, Gökhan 2 2019 A short note on hyper Zagreb index. Zbl 1413.05058Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali; Xavier, G. B. A. 2 2019 Protected cells in bargraphs. Zbl 1419.05113Mansour, Toufik; Schork, Matthias; Yaqubi, Daniel 2 2019 Enumeration of permutations avoiding a triple of 4-letter patterns is almost all done. Zbl 1449.05014Callan, David; Mansour, Toufik; Shattuck, Mark 2 2019 The perimeter and site-perimeter of set partitions. Zbl 1414.05039Mansour, Toufik 1 2019 Passing through a stack \(k\) times. Zbl 1404.05007Mansour, Toufik; Skogman, Howard; Smith, Rebecca 1 2019 Permutation patterns and cell decompositions. Zbl 1462.05023Mansour, Toufik; Schork, Matthias 1 2019 Passing through a stack \(k\) times with reversals. Zbl 1420.05007Mansour, Toufik; Skogman, Howard; Smith, Rebecca 1 2019 Counting corners in compositions and set partitions presented as bargraphs. Zbl 1390.05014Mansour, Toufik; Shabani, Armend Sh.; Shattuck, Mark 16 2018 Interior vertices in set partitions. Zbl 1401.05036Mansour, Toufik 9 2018 Calculating genus polynomials via string operations and matrices. Zbl 1411.05066Gross, Jonathan L.; Khan, Imran F.; Mansour, Toufik; Tucker, Thomas W. 5 2018 Durfee squares in compositions. Zbl 1409.05023Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 5 2018 Combinatorial parameters on bargraphs of permutations. Zbl 1463.05013Mansour, Toufik; Shattuck, Mark 5 2018 Elements protected by records in set partitions. Zbl 1403.05018Cakić, Nenad; Mansour, Toufik; Smith, Rebecca 4 2018 Counting water cells in bargraphs of compositions and set partitions. Zbl 1488.05012Mansour, Toufik; Shattuck, Mark 4 2018 On the genus distributions of wheels and of related graphs. Zbl 1380.05004Chen, Yichao; Gross, Jonathan L.; Mansour, Toufik 4 2018 A generalized class of restricted Stirling and Lah numbers. Zbl 1446.11039Mansour, Toufik; Shattuck, Mark 3 2018 Bargraphs in bargraphs. Zbl 1424.05016Mansour, Toufik; Shabani, Armend 2 2018 On Cauchy-Euler’s differential equation involving a para-Grassmann variable. Zbl 1404.34010Mansour, Toufik; Rayan, Ranya 2 2018 Five subsets of permutations enumerated as weak sorting permutations. Zbl 1424.05014Callan, David; Mansour, Toufik 2 2018 Enumeration of small Wilf classes avoiding 1342 and two other 4-letter patterns. Zbl 1449.05004Callan, David; Mansour, Toufik 2 2018 On a close relative of the quantum plane. Zbl 1391.05017Mansour, Toufik; Schork, Matthias 1 2018 More on inverse degree and topological indices of graphs. Zbl 1488.05086Elumalai, Suresh; Hosamani, Sunilkumar M.; Mansour, Toufik; Rostami, Mohammad Ali 1 2018 New bounds on the hyper-Zagreb index for the simple connected graphs. Zbl 1467.05039Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali 1 2018 Further extended Caputo fractional derivative operator and its applications. Zbl 1384.26026Agarwal, Praveen; Jain, S.; Mansour, T. 28 2017 A generalization of the \(r\)-Whitney numbers of the second kind. Zbl 1352.05031Mansour, Toufik; Ramírez, José L.; Shattuck, Mark 13 2017 Bargraph statistics on words and set partitions. Zbl 1371.05014Mansour, Toufik; Shattuck, Mark 11 2017 Fourier series of functions related to Bernoulli polynomials. Zbl 1404.42006Jang, Gwan-Woo; Kim, Dae San; Kim, Taekyun; Mansour, Toufik 10 2017 The perimeter of words. Zbl 1367.05031Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 9 2017 On the bounds of the forgotten topological index. Zbl 1424.05054Elumalai, Suresh; Mansour, Toufik; Rostami, Mohammad Ali 8 2017 Correcting a paper on the Randić and geometric-arithmetic indices. Zbl 1424.05057Mansour, Toufik; Rostami, Mohammad Ali; Elumalai, Suresh; Xavier, Britto Antony 4 2017 Shedding light on words. Zbl 1499.05027Archibald, Margaret; Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 4 2017 Symmetric identities for the fully degenerate Bernoulli polynomials and degenerate Euler polynomials under symmetric group of degree \(n\). Zbl 1407.11040Kim, Taekyun; Kwon, Hyuck-in; Mansour, Toufik; Rim, Seog-Hoon 3 2017 The site-perimeter of words. Zbl 1463.05011Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 3 2017 A polynomial generalization of some associated sequences related to set partitions. Zbl 1399.11064Mansour, Toufik; Shattuck, Mark 3 2017 Valence-partitioned genus polynomials and their application to generalized dipoles. Zbl 1375.05138Gross, Jonathan L.; Mansour, Toufik; Tucker, Thomas W. 3 2017 Wilf classification of triples of 4-letter patterns. I. Zbl 1400.05008Callan, David; Mansour, Toufik; Shattuck, Mark 2 2017 Wilf classification of triples of 4-letter patterns. II. Zbl 1400.05009Callan, David; Mansour, Toufik; Shattuck, Mark 2 2017 Tsallis \(p,q\)-deformed Touchard polynomials and Stirling numbers. Zbl 1423.33029Herscovici, Orli; Mansour, T. 2 2017 Wilf classification of subsets of six and seven four-letter patterns. Zbl 1471.05008Mansour, Toufik; Schork, Matthias 2 2017 The descent statistic on signed simsun permutations. Zbl 1390.05006Ma, Shi-Mei; Mansour, Toufik; Wang, Hai-Na 2 2017 Counting triangulations of some classes of subdivided convex polygons. Zbl 1359.05006Asinowski, Andrei; Krattenthaler, Christian; Mansour, Toufik 2 2017 A monotonicity property for generalized Fibonacci sequences. Zbl 1424.11047Mansour, Toufik; Shattuck, Mark 1 2017 Set partitions and parity successions. Zbl 1495.05016Mansour, Toufik; Shattuck, Mark 1 2017 On the maximal independence polynomial of certain graph configurations. Zbl 1378.05095Hu, Han; Mansour, Toufik; Song, Chunwei 1 2017 Twelve subsets of permutations enumerated as maximally clustered permutations. Zbl 1399.05005Callan, David; Mansour, Toufik; Shattuck, Mark 1 2017 A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns. Zbl 1387.05001Arıkan, Talha; Kılıç, Emrah; Mansour, Toufik 1 2017 Nine classes of permutations enumerated by binomial transform of Fine’s sequence. Zbl 1365.05017Mansour, Toufik; Shattuck, Mark 1 2017 Commutation relations, normal ordering, and Stirling numbers. Zbl 1335.05001Mansour, Toufik; Schork, Matthias 49 2016 Counting corners in partitions. Zbl 1332.05014Blecher, Aubrey; Brennan, Charlotte; Knopfmacher, Arnold; Mansour, Toufik 6 2016 Linear differential equations for families of polynomials. Zbl 1334.33026Kim, Taekyun; Kim, Dae San; Mansour, Toufik; Seo, Jong-Jin 5 2016 ...and 271 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,345 Authors 195 Mansour, Toufik 52 Shattuck, Mark A. 47 Kim, Taekyun 42 Kim, Dae San 29 Knopfmacher, Arnold 28 Ramírez, José Luis 25 Blecher, Aubrey 22 Schork, Matthias 19 Brennan, Charlotte Alix 17 Gross, Jonathan L. 17 Ma, Shi-Mei 15 Baril, Jean-Luc 14 Archibald, Margaret 13 Braha, Naim Latif 12 Elizalde, Sergi 12 Jang, Lee-Chae 12 Tucker, Thomas W. 12 Yeh, Yeong-Nan 11 Chen, Yichao 11 Dolgiĭ, Dmitriĭ Viktorovich 11 Prodinger, Helmut 11 Vajnovszki, Vincent 11 Wang, David Guo-Liang 10 Araci, Serkan 10 Kitaev, Sergey 10 Lin, Zhicong 10 Shabani, Armend Shaban 10 Simsek, Yilmaz 10 Vatter, Vincent Russell 9 Kirgizov, Sergey 9 Remmel, Jeffrey Brian 9 Yan, Sherry H. F. 8 Barnabei, Marilena 8 Bényi, Beáta 8 Bonetti, Flavio 8 Kwon, JongKyum 8 Munagi, Augustine O. 8 Rastegar, Reza 8 Rim, Seog-Hoon 8 Sagan, Bruce Eli 8 Silimbani, Matteo 8 Srivastava, Hari Mohan 7 Bian, Qiuju 7 Cakić, Nenad P. 7 Chen, William Yong-Chuan 7 Jelínek, Vít 7 Ma, Gang 7 Sun, Yidong 7 Yıldırım, Gökhan 7 Zeng, Jiang 6 Acikgoz, Mehmet 6 Albert, Michael Henry 6 Batir, Necdet 6 Drube, Paul 6 Elumalai, Suresh 6 Jang, Gwan-Woo 6 Komatsu, Takao 6 Kwon, Hyuck In 6 Lee, Jeong-Gon 6 Lim, Dongkyu 6 Ma, Jun 6 Mező, István 6 Wagner, Stephan G. 6 Xu, Aimin 6 Yazlik, Yasin 5 Ali, Akbar 5 Asakly, Walaa 5 Ashrafi, Ali Reza 5 Asinowski, Andrei 5 Barry, Paul 5 Brignall, Robert 5 Burstein, Alexander 5 Castronuovo, Niccolò 5 Dilcher, Karl 5 Du, Rosena R. X. 5 Egge, Eric S. 5 Ericksen, Larry 5 Kim, Byungmoon 5 Petrossian, Armen 5 Pinzani, Renzo 5 Qi, Feng 5 Sapounakis, Aristidis 5 Simsek, Dağıstan 5 Song, Chunwei 5 Tasoulas, Ioannis 5 Tsikouras, Panagiotis 4 Agarwal, Praveen 4 Bouvel, Mathilde 4 Bremner, Murray R. 4 Defant, Colin 4 Duran, Ugur 4 El-Desouky, Beih S. 4 Eu, Sen-Peng 4 Ferrari, Luca 4 Fu, Fangwei 4 Fu, Tung-Shan 4 Godbole, Anant P. 4 Gutman, Ivan M. 4 Jin, Xian’an 4 Kızılateş, Can ...and 1,245 more Authors all top 5 Cited in 249 Serials 89 Discrete Mathematics 60 Advances in Applied Mathematics 53 The Electronic Journal of Combinatorics 51 European Journal of Combinatorics 48 Discrete Applied Mathematics 47 Advances in Difference Equations 37 Journal of Integer Sequences 25 Applied Mathematics and Computation 25 Journal of Inequalities and Applications 21 The Australasian Journal of Combinatorics 20 Journal of Combinatorial Theory. 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Second Series 3 Quantum Information Processing 3 Mediterranean Journal of Mathematics 3 Discrete Mathematics, Algorithms and Applications 3 Symmetry 3 Applied Mathematics and Nonlinear Sciences 2 Computers & Mathematics with Applications 2 International Journal of Theoretical Physics 2 Periodica Mathematica Hungarica 2 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Mathematics Magazine 2 Advances in Mathematics 2 Czechoslovak Mathematical Journal 2 Demonstratio Mathematica 2 Journal of Approximation Theory 2 Journal of Graph Theory 2 Acta Mathematica Hungarica 2 Order 2 Algorithmica 2 Discrete & Computational Geometry 2 Mathematical and Computer Modelling 2 Random Structures & Algorithms 2 Discrete Mathematics and Applications 2 Designs, Codes and Cryptography ...and 149 more Serials all top 5 Cited in 50 Fields 890 Combinatorics (05-XX) 345 Number theory (11-XX) 83 Computer science (68-XX) 77 Special functions (33-XX) 56 Probability theory and stochastic processes (60-XX) 54 Biology and other natural sciences (92-XX) 53 Linear and multilinear algebra; matrix theory (15-XX) 49 Real functions (26-XX) 29 Difference and functional equations (39-XX) 27 Group theory and generalizations (20-XX) 25 Order, lattices, ordered algebraic structures (06-XX) 24 Quantum theory (81-XX) 22 Ordinary differential equations (34-XX) 21 Sequences, series, summability (40-XX) 21 Approximations and expansions (41-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 19 Numerical analysis (65-XX) 17 Functions of a complex variable (30-XX) 14 Convex and discrete geometry (52-XX) 13 Partial differential equations (35-XX) 13 Functional analysis (46-XX) 13 Information and communication theory, circuits (94-XX) 12 Operator theory (47-XX) 10 Manifolds and cell complexes (57-XX) 9 Associative rings and algebras (16-XX) 8 Algebraic geometry (14-XX) 8 Statistics (62-XX) 8 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Commutative algebra (13-XX) 6 Nonassociative rings and algebras (17-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 Field theory and polynomials (12-XX) 3 Category theory; homological algebra (18-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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