Brualdi, Richard A.; Cao, Lei; Goldwasser, John L. \(12\cdots t\)-permutation avoiding \((0, 1)\)-matrices. (English) Zbl 07980160 Graphs Comb. 41, No. 1, Paper No. 19, 21 p. (2025). MSC: 05A05 05B20 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Allen, Michael A.; Edwards, Kenneth Connections between two classes of generalized Fibonacci numbers squared and permanents of \((0, 1)\) Toeplitz matrices. (English) Zbl 07925358 Linear Multilinear Algebra 72, No. 13, 2091-2103 (2024). Reviewer: Carlos M. da Fonseca (Safat) MSC: 11B39 05A19 05A05 05B45 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barry, Paul On Motzkin-Schröder paths, Riordan arrays, and Somos-4 sequences. (English) Zbl 1520.05009 J. Integer Seq. 26, No. 4, Article 23.4.7, 24 p. (2023). MSC: 05A15 05A05 11B37 15B36 11A55 15A15 15B05 × Cite Format Result Cite Review PDF Full Text: Link
Ayyer, Arvind; Sundaravaradan, Naren Combinatorial proofs of multivariate Cayley-Hamilton theorems. (English) Zbl 1507.15004 Linear Algebra Appl. 661, 247-269 (2023). MSC: 15A15 05B20 05A19 05A05 05C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Du, Zhibin; da Fonseca, Carlos M. An identity involving derangement numbers and Bell numbers. (English) Zbl 1513.05005 Appl. Anal. Discrete Math. 16, No. 2, 485-494 (2022). MSC: 05A05 05A10 15A15 11B37 11C20 × Cite Format Result Cite Review PDF Full Text: DOI
Adm, Mohammad; Garloff, Jürgen Characterization, perturbation, and interval property of certain sign regular matrices. (English) Zbl 1465.15043 Linear Algebra Appl. 612, 146-161 (2021). Reviewer: Ctirad Matonoha (Praha) MSC: 15B48 15A15 15A21 05A05 65G40 × Cite Format Result Cite Review PDF Full Text: DOI Link
da Fonseca, Carlos M. On a closed form for derangement numbers: an elementary proof. (English) Zbl 1442.05005 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 3, Paper No. 146, 4 p. (2020). MSC: 05A05 05A15 05A10 15A15 05B20 11B37 11C20 × Cite Format Result Cite Review PDF Full Text: DOI
Pinelis, Iosif Nonnegative sum-symmetric matrices and optimal-score partitions. (English) Zbl 1442.15054 Positivity 24, No. 3, 533-538 (2020). MSC: 15B48 26D15 90C46 52A40 05A05 15A15 15A45 15B33 15B36 15B51 90C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tsukerman, Emmanuel; Williams, Lauren; Sturmfels, Bernd Symmetric matrices, Catalan paths, and correlations. (English. French summary) Zbl 1435.15004 Proceedings of the 28th international conference on formal power series and algebraic combinatorics, FPSAC 2016, Vancouver, Canada, July 4–8, 2016. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Math. Theor. Comput. Sci., Proc., 1135-1146 (2020). MSC: 15A15 05B20 05C50 05A05 × Cite Format Result Cite Review PDF Full Text: Link
Brualdi, Richard A.; Schroeder, Michael W. Circulant matrices and mathematical juggling. (English) Zbl 1421.05026 Art Discrete Appl. Math. 1, No. 2, Paper No. P2.01, 17 p. (2018). MSC: 05B20 05B15 05A15 05A05 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Björklund, Andreas Below all subsets for some permutational counting problems. (English) Zbl 1378.68061 Pagh, Rasmus (ed.), 15th Scandinavian symposium and workshops on algorithm theory, SWAT 2016, Reykjavik, Iceland, June 22–24, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-011-8). LIPIcs – Leibniz International Proceedings in Informatics 53, Article 17, 11 p. (2016). MSC: 68Q25 05A05 05A15 05C30 15A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kobayashi, Masato Enumerative combinatorics on determinants and signed bigrassmannian polynomials. (English) Zbl 1312.05145 Math. J. Okayama Univ. 57, 159-172 (2015). MSC: 05E15 05A05 15A15 11C20 20F55 × Cite Format Result Cite Review PDF Full Text: arXiv
Bollig, Benedikt; Cyriac, Aiswarya; Gastin, Paul; Zeitoun, Marc Temporal logics for concurrent recursive programs: satisfiability and model checking. (English) Zbl 1310.68142 J. Appl. Log. 12, No. 4, 395-416 (2014). MSC: 68Q60 03B44 68N30 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
Brändén, Petter; Haglund, James; Visontai, Mirkó; Wagner, David G. Proof of the monotone column permanent conjecture. (English) Zbl 1252.15007 Brändén, Petter (ed.) et al., Notions of positivity and the geometry of polynomials. Dedicated to the memory of Julius Borcea. Basel: Birkhäuser (ISBN 978-3-0348-0141-6/hbk; 978-3-0348-0142-3/ebook). Trends in Mathematics, 63-78 (2011). MSC: 15A15 32A60 05A05 05A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Foryś, Wit; García Guirao, Juan Luis; Oprocha, Piotr A dynamical model of parallel computation on bi-infinite time-scale. (English) Zbl 1214.68247 J. Comput. Appl. Math. 235, No. 7, 1826-1832 (2011). MSC: 68Q85 37B10 68Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Bergeron, François; Reutenauer, Christophe \(SL_k\)-tilings of the plane. (English) Zbl 1236.13018 Ill. J. Math. 54, No. 1, 263-300 (2010). Reviewer: Frederic Palesi (Sherbrooke) MSC: 13F60 15A15 11C20 05A05 05E10 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong A proof of the monotone column permanent (MCP) conjecture for dimension 4 via sums-of-squares of rational functions. (English) Zbl 1356.15002 Kai, Hiroshi (ed.) et al., Proceedings of the 2009 workshop on symbolic-numeric computation, SNC 2009, Kyoto, Japan, August 3–5, 2009. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-60558-664-9). 65-70 (2009). MSC: 15A15 05A05 05A15 32A60 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Patkós, Balázs; Tichler, Krisztian; Wiener, Gabor Inclusionwise minimal completely separating systems. (English) Zbl 1231.05266 J. Stat. Theory Pract. 3, No. 2, 455-462 (2009). MSC: 05D05 05A05 × Cite Format Result Cite Review PDF Full Text: DOI
Eichelsbacher, Peter; Sommerauer, Jens Moderate deviations for traces of words in a mult-matrix model. (English) Zbl 1189.15043 Electron. Commun. Probab. 14, 572-586 (2009). MSC: 15B52 60F05 60F10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Baumeister, Barbara; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas On permutation polytopes. (English) Zbl 1185.52006 Adv. Math. 222, No. 2, 431-452 (2009). Reviewer: Matthias Beck (San Francisco) MSC: 52B05 05A05 15A15 52B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hillar, Christopher J. Advances on the Bessis-Moussa-Villani trace conjecture. (English) Zbl 1126.15024 Linear Algebra Appl. 426, No. 1, 130-142 (2007). Reviewer: John D. Dixon (Ottawa) MSC: 15A45 15A90 15A15 49J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosaz, Laurent The word problem for \(1\mathcal{LC}\) congruences is NP-hard. (English) Zbl 1059.68077 Theor. Comput. Sci. 306, No. 1-3, 245-268 (2003). MSC: 68R05 68R15 × Cite Format Result Cite Review PDF Full Text: DOI
Wen, Zhixiong Trace maps over \(M_3(K)\) associated with the substitutions. (English) Zbl 1054.16017 Sci. China, Ser. A 45, No. 2, 165-171 (2002). MSC: 16R10 16S50 68R15 15A15 × Cite Format Result Cite Review PDF
Chang, Gerard J. Corrigendum to “A comparison theorem for permanents and a proof of a conjecture on \((t,m)\)-families,” by Joseph Y.- T. Leung and W.-D. Wei. (English) Zbl 0837.05002 J. Comb. Theory, Ser. A 73, No. 1, 190-192 (1996). MSC: 05A05 05B20 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Kobayashi, Yuji; Katsura, Masashi Lyndon traces and shuffle algebras. (English) Zbl 0818.20072 J. Pure Appl. Algebra 95, No. 1, 57-73 (1994). Reviewer: D.Krob (Paris) MSC: 20M05 20M35 68R15 13C10 68Q70 × Cite Format Result Cite Review PDF Full Text: DOI
Shevelev, V. S. Modern enumeration theory of permutations with restricted positions. (English. Russian original) Zbl 0798.05003 Discrete Math. Appl. 3, No. 3, 229-263 (1993); translation from Diskretn. Mat. 5, No. 1, 3-35 (1993). MSC: 05A15 05A05 05B20 15A15 05-02 × Cite Format Result Cite Review PDF Full Text: DOI
Shevelyov, V. S. Computing cyclic indicators of permutations with confined displacements. (English) Zbl 0886.05001 Dopov. Akad. Nauk Ukr. 1993, No. 7, 36-39 (1993). Reviewer: A.Martynyuk MSC: 05A05 05A15 15A15 15B36 × Cite Format Result Cite Review PDF
Leung, Joseph Y.-T.; Wei, W.-D. A comparison theorem for permanents and a proof of a conjecture on \((t,m)\)-families. (English) Zbl 0765.05004 J. Comb. Theory, Ser. A 61, No. 1, 98-112 (1992). Reviewer: S.Kageyama (Hiroshima) MSC: 05A05 05B20 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Fedenya, O. A. The permanent of multidimensional matrices and some combinatorial problems. (Russian) Zbl 0799.15004 Egorychev, G. P. (ed.), Permanents: theory and applications. Interuniversity collection. Krasnoyarsk: Krasnoyarskij Politekhnicheskij Institut, 88-96 (1990). MSC: 15A15 05B20 05A05 × Cite Format Result Cite Review PDF
Diekert, Volker Combinatorics on traces. (English) Zbl 0717.68002 Lecture Notes in Computer Science, 454. Berlin etc.: Springer-Verlag. VII, 164 p. DM 33.00 (1990). Reviewer: G.Mauri MSC: 68-02 68Q45 68R15 68Q05 68Q10 03D03 68Q42 68Q85 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Hai-Ning; Wrathall, C.; Zeger, Kenneth Efficient solution of some problems in free partially commutative monoids. (English) Zbl 0719.68036 Inf. Comput. 89, No. 2, 180-198 (1990). Reviewer: M.Steinby (Turku) MSC: 68Q45 68Q25 68R15 20M35 × Cite Format Result Cite Review PDF Full Text: DOI
Canfield, E. R.; Williamson, S. G. A combinatorial study of straightening bases. (English) Zbl 0737.05004 Linear Multilinear Algebra 24, No. 4, 241-264 (1989). MSC: 05A05 05A18 15A72 15A03 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Frankl, P. Traces of antichains. (English) Zbl 0759.05093 Graphs Comb. 5, No. 3, 295-299 (1989). Reviewer: P.Horak (Bratislava) MSC: 05D05 05A05 × Cite Format Result Cite Review PDF Full Text: DOI
Zagaglia-Salvi, Norma On the permanent of certain submatrices of circulant \((0,1)\)-matrices. (English) Zbl 1060.15504 Sémin. Lothar. Comb. 19, B19i, 7 p. (1988). MSC: 15A15 05B20 05A05 × Cite Format Result Cite Review PDF Full Text: EMIS
Reutenauer, Christophe; Schützenberger, Marcel-Paul A formula for the determinant of a sum of matrices. (English) Zbl 0628.15005 Lett. Math. Phys. 13, 299-302 (1987). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A15 15A24 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, M. T. Symbolic calculation of the trace of the power of a tridiagonal matrix. (English) Zbl 0566.05003 Computing 35, 257-268 (1985). MSC: 05A05 68Q25 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Ryser, H. J. A new look at the optimal assignment problem. (English) Zbl 0563.15013 Linear Algebra Appl. 66, 113-121 (1985). Reviewer: N.J.Pullman MSC: 15B36 15A15 05A05 05B20 × Cite Format Result Cite Review PDF Full Text: DOI
Kallman, Ralph A method for finding permanents of 0,1 matrices. (English) Zbl 0485.05011 Math. Comput. 38, 167-170 (1982). MSC: 05A99 15A15 05-04 05A05 68W99 × Cite Format Result Cite Review PDF Full Text: DOI
Nishi, Akihiro Notes on combinatorial properties of matrices. (English) Zbl 0436.15009 J. Fac. Educ., Saga Univ. 27, 77-80 (1979). MSC: 15A21 15A15 15B36 15B51 05A05 × Cite Format Result Cite Review PDF
Arczynski, Miroslaw; Borowiecki, Mieczyslaw; Syslo, Maciej M. On Hallian digraphs, permanents and transversals. (English) Zbl 0418.05002 Colloq. Math. 41, 141-145 (1979). MSC: 05A05 05C20 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Voorhoeve, M. A lower bound for the permanents of certain (0,1)-matrices. (English) Zbl 0401.05005 Indag. Math. 41, 83-86 (1979). MSC: 05A05 15A15 05B20 × Cite Format Result Cite Review PDF
Lehmer, Derrick Henry Permutations, partitions, permanents, parallelism. (English) Zbl 0488.05003 Mathematiques appliquees, 1er Colloq. AFCET-SMF, Palaiseau 1978, Tome I, 1-17 (1978). MSC: 05-04 05A05 68W99 05A17 15A15 × Cite Format Result Cite Review PDF
Kononenko, A. M.; Fedenja, O. A. On the permanent of multi-dimensional matrices. (Russian) Zbl 0408.15023 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1978, No. 4, 5-8 (1978). MSC: 15A69 15A15 05A05 05B15 × Cite Format Result Cite Review PDF
Greene, Curtis Another exchange property for bases. (English) Zbl 0294.05012 Proc. Am. Math. Soc. 46, 155-156 (1974). MSC: 05B25 05A05 15A03 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Lehmer, D. H. Some properties of circulants. (English) Zbl 0259.05004 J. Number Theory 5, 43-54 (1973). Reviewer: Klaus Wohlrabe (Berlin) MSC: 05A05 15A15 × Cite Format Result Cite Review PDF Full Text: DOI
Picquet Combinatorial analysis of determinants. (Analyse combinatoire des déterminants.) (French) JFM 10.0108.02 C. R. LXXXVI, 1118-1119 (1878). Reviewer: Stolz, Prof. (Innsbruck) MSC: 05A05 15A15 08A35 20B25 × Cite Format Result Cite Review PDF Full Text: Gallica
Picquet Paper on applying the calculating of combinations th the theory of determinants. (Mémoire sur l’application du calcul des combinaisons à la théorie des déterminants.) (French) JFM 10.0107.02 J. de l’Éc. Pol. Cah. 45, 201-241 (1878). Reviewer: Ohrtmann, Dr. (Berlin) MSC: 05A05 15A15 08B25 15A23 × Cite Format Result Cite Review PDF
D’Ovidio, E. Researches on undetermined systems of linear equations. (Ricerche sui sistemi indeterminati di equazioni linneari.) (Italian) JFM 09.0105.01 Atti di Torino XII, 334-349 (1877). Reviewer: Müller, F., Dr. (Ludwigslust) MSC: 15A06 15A15 20B05 05A05 × Cite Format Result Cite Review PDF
Studnička, F. J. Elements of the theory of determinants. (Elemente der Determinantentheorie.) (Czech) JFM 09.0097.02 Casopis VI, 49, 97, 201 (1877); (Böhmisch). Reviewer: Studnička, Prof. (Prag) MSC: 15A15 15-01 05A05 15A06 × Cite Format Result Cite Review PDF Full Text: DOI DOI DOI