Goodall, Andrew; Litjens, Bart; Regts, Guus; Vena, Lluís Tutte’s dichromate for signed graphs. (English) Zbl 07289379 Discrete Appl. Math. 289, 153-184 (2021). MSC: 05C22 05C31 05B35 PDF BibTeX XML Cite \textit{A. Goodall} et al., Discrete Appl. Math. 289, 153--184 (2021; Zbl 07289379) Full Text: DOI
Kato, Keiju Interior polynomial for signed bipartite graphs and the HOMFLY polynomial. (English) Zbl 07291656 J. Knot Theory Ramifications 29, No. 12, Article ID 2050077, 41 p. (2020). MSC: 57K14 57K10 57M15 05C31 05C10 PDF BibTeX XML Cite \textit{K. Kato}, J. Knot Theory Ramifications 29, No. 12, Article ID 2050077, 41 p. (2020; Zbl 07291656) Full Text: DOI
Kálmán, Tamás; Tóthmérész, Lilla Hypergraph polynomials and the Bernardi process. (English) Zbl 1448.05052 Algebr. Comb. 3, No. 5, 1099-1139 (2020). MSC: 05C10 05C31 05C50 05C57 05C65 PDF BibTeX XML Cite \textit{T. Kálmán} and \textit{L. Tóthmérész}, Algebr. Comb. 3, No. 5, 1099--1139 (2020; Zbl 1448.05052) Full Text: DOI
Brijder, Robert; Hoogeboom, Hendrik Jan Counterexamples to a conjecture of Las Vergnas. (English) Zbl 1447.05110 Eur. J. Comb. 89, Article ID 103141, 2 p. (2020). MSC: 05C31 05C10 05B35 52B40 PDF BibTeX XML Cite \textit{R. Brijder} and \textit{H. J. Hoogeboom}, Eur. J. Comb. 89, Article ID 103141, 2 p. (2020; Zbl 1447.05110) Full Text: DOI
Tran, Tan Nhat An equivalent formulation of chromatic quasi-polynomials. (English) Zbl 07233237 Discrete Math. 343, No. 10, Article ID 112012, 8 p. (2020). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{T. N. Tran}, Discrete Math. 343, No. 10, Article ID 112012, 8 p. (2020; Zbl 07233237) Full Text: DOI
Defant, Colin; Engen, Michael; Miller, Jordan A. Stack-sorting, set partitions, and Lassalle’s sequence. (English) Zbl 1442.05006 J. Comb. Theory, Ser. A 175, Article ID 105275, 23 p. (2020). MSC: 05A05 05A15 05C31 05A18 PDF BibTeX XML Cite \textit{C. Defant} et al., J. Comb. Theory, Ser. A 175, Article ID 105275, 23 p. (2020; Zbl 1442.05006) Full Text: DOI
Randriamaro, Hery The Tutte polynomial of symmetric hyperplane arrangements. (English) Zbl 1439.52026 J. Knot Theory Ramifications 29, No. 3, Article ID 2050004, 19 p. (2020). MSC: 52C35 05C31 PDF BibTeX XML Cite \textit{H. Randriamaro}, J. Knot Theory Ramifications 29, No. 3, Article ID 2050004, 19 p. (2020; Zbl 1439.52026) Full Text: DOI
Samper, José Alejandro Relaxations of the matroid axioms. I: Independence, exchange and circuits. (English. French summary) Zbl 1440.05144 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., 1075-1086 (2020). MSC: 05C50 05E45 05B35 52B40 05C31 PDF BibTeX XML Cite \textit{J. A. Samper}, in: 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). 1075--1086 (2020; Zbl 1440.05144) Full Text: Link
Cameron, Amanda; Fink, Alex A lattice point counting generalisation of the Tutte polynomial. (English. French summary) Zbl 1440.05125 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., 299-310 (2020). MSC: 05C31 05A15 05B35 52B40 PDF BibTeX XML Cite \textit{A. Cameron} and \textit{A. Fink}, in: 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). 299--310 (2020; Zbl 1440.05125) Full Text: Link
Backman, Spencer; Hopkins, Sam; Traldi, Lorenzo Fourientation activities and the Tutte polynomial. (English. French summary) Zbl 1440.05124 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., 107-118 (2020). MSC: 05C31 PDF BibTeX XML Cite \textit{S. Backman} et al., in: 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). 107--118 (2020; Zbl 1440.05124) Full Text: Link
Gong, Helin; Jin, Xian’an; Li, Mengchen Several extreme coefficients of the Tutte polynomial of graphs. (English) Zbl 1439.05111 Graphs Comb. 36, No. 3, 445-457 (2020). MSC: 05C31 PDF BibTeX XML Cite \textit{H. Gong} et al., Graphs Comb. 36, No. 3, 445--457 (2020; Zbl 1439.05111) Full Text: DOI
Pagaria, Roberto Poincaré polynomial of elliptic arrangements is not determined by the Tutte polynomial. (English) Zbl 1437.05110 Discrete Math. 343, No. 6, Article ID 111710, 4 p. (2020). MSC: 05C31 05B35 52C35 PDF BibTeX XML Cite \textit{R. Pagaria}, Discrete Math. 343, No. 6, Article ID 111710, 4 p. (2020; Zbl 1437.05110) Full Text: DOI
Jakobson, Dmitry; Langsetmo, Tomas; Rivin, Igor; Turner, Lise Rank and Bollobás-Riordan polynomials: coefficient measures and zeros. (English) Zbl 1442.05102 Canzani, Yaiza (ed.) et al., Probabilistic methods in geometry, topology and spectral theory. CRM workshops on probabilistic methods in spectral geometry and PDE, August 22–26, 2016, and on probabilistic methods in topology, November 14–18, 2016, Centre de Recherches Mathématiques, Université de Montréal, Montréal, Quebec, Canada. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (CRM). Contemp. Math. 739, 63-95 (2019). MSC: 05C31 05C63 05C80 PDF BibTeX XML Cite \textit{D. Jakobson} et al., Contemp. Math. 739, 63--95 (2019; Zbl 1442.05102) Full Text: DOI
Miezaki, Tsuyoshi; Oura, Manabu; Sakuma, Tadashi; Shinohara, Hidehiro A generalization of the Tutte polynomials. (English) Zbl 1442.05103 Proc. Japan Acad., Ser. A 95, No. 10, 111-113 (2019). MSC: 05C31 05B35 PDF BibTeX XML Cite \textit{T. Miezaki} et al., Proc. Japan Acad., Ser. A 95, No. 10, 111--113 (2019; Zbl 1442.05103) Full Text: DOI Euclid
Derycke, Henri; Le Borgne, Yvan Restricted Tutte polynomials for some periodic oriented forests on infinite square lattice. (English) Zbl 1436.05051 Sémin. Lothar. Comb. 82B, 82B.51, 12 p. (2019). MSC: 05C31 05C05 PDF BibTeX XML Cite \textit{H. Derycke} and \textit{Y. Le Borgne}, Sémin. Lothar. Comb. 82B, 82B.51, 12 p. (2019; Zbl 1436.05051) Full Text: Link
Backman, Spencer; Francisco, Santos; Chi, Ho Yuen Topological bijections for oriented matroids. (English) Zbl 1436.05025 Sémin. Lothar. Comb. 82B, 82B.39, 12 p. (2019). MSC: 05B35 05C31 52B40 52B20 05E18 PDF BibTeX XML Cite \textit{S. Backman} et al., Sémin. Lothar. Comb. 82B, 82B.39, 12 p. (2019; Zbl 1436.05025) Full Text: Link
Liao, Yunhua; Aziz-Alaoui, M. A.; Zhao, Junchan; Hou, Yaoping The behavior of Tutte polynomials of graphs under five graph operations and its applications. (English) Zbl 1433.05163 Appl. Math. Comput. 363, Article ID 124641, 15 p. (2019). MSC: 05C31 05C76 05C50 PDF BibTeX XML Cite \textit{Y. Liao} et al., Appl. Math. Comput. 363, Article ID 124641, 15 p. (2019; Zbl 1433.05163) Full Text: DOI
Burman, Yurii Higher matrix-tree theorems and Bernardi polynomial. (English) Zbl 1429.05082 J. Algebr. Comb. 50, No. 4, 427-446 (2019). MSC: 05C20 05C31 05C50 PDF BibTeX XML Cite \textit{Y. Burman}, J. Algebr. Comb. 50, No. 4, 427--446 (2019; Zbl 1429.05082) Full Text: DOI
Chen, Hanlin; Guo, Qiuzhi Tutte polynomials of alternating polycyclic chains. (English) Zbl 07142199 J. Math. Chem. 57, No. 10, 2248-2260 (2019). MSC: 92E10 05C92 05C31 PDF BibTeX XML Cite \textit{H. Chen} and \textit{Q. Guo}, J. Math. Chem. 57, No. 10, 2248--2260 (2019; Zbl 07142199) Full Text: DOI
Backman, Spencer; Baker, Matthew; Yuen, Chi Ho Geometric bijections for regular matroids, zonotopes, and Ehrhart theory. (English) Zbl 1429.52017 Forum Math. Sigma 7, Paper No. e45, 37 p. (2019). MSC: 52B40 05C31 05E18 52B20 05B35 PDF BibTeX XML Cite \textit{S. Backman} et al., Forum Math. Sigma 7, Paper No. e45, 37 p. (2019; Zbl 1429.52017) Full Text: DOI
Aiello, Valeriano; Conti, Roberto The Jones polynomial and functions of positive type on the oriented Jones-Thompson groups \(\vec{F}\) and \(\vec{T} \). (English) Zbl 1428.43005 Complex Anal. Oper. Theory 13, No. 7, 3127-3149 (2019). Reviewer: Bruno Zimmermann (Trieste) MSC: 43A35 57K14 05C31 PDF BibTeX XML Cite \textit{V. Aiello} and \textit{R. Conti}, Complex Anal. Oper. Theory 13, No. 7, 3127--3149 (2019; Zbl 1428.43005) Full Text: DOI
Kochol, Martin Interpretations of the Tutte polynomials of regular matroids. (English) Zbl 1426.05071 Adv. Appl. Math. 111, Article ID 101934, 10 p. (2019). MSC: 05C31 05B35 52B40 PDF BibTeX XML Cite \textit{M. Kochol}, Adv. Appl. Math. 111, Article ID 101934, 10 p. (2019; Zbl 1426.05071) Full Text: DOI
Chen, Justin Matroids: a Macaulay2 package. (English) Zbl 1420.05005 J. Softw. Algebra Geom. 9, 19-27 (2019). MSC: 05-04 05B35 05C31 52B40 PDF BibTeX XML Cite \textit{J. Chen}, J. Softw. Algebra Geom. 9, No. 1, 19--27 (2019; Zbl 1420.05005) Full Text: DOI
Engström, Alexander; Kohl, Florian Lattice polytopes in mathematical physics. (English) Zbl 1423.52027 Hibi, Takayuki (ed.) et al., Algebraic and geometric combinatorics on lattice polytopes. Proceedings of the summer workshop on lattice polytopes, Osaka, Japan, July 23 – August 10, 2018. Hackensack, NJ: World Scientific. 182-199 (2019). MSC: 52B20 PDF BibTeX XML Cite \textit{A. Engström} and \textit{F. Kohl}, in: Algebraic and geometric combinatorics on lattice polytopes. Proceedings of the summer workshop on lattice polytopes, Osaka, Japan, July 23 -- August 10, 2018. Hackensack, NJ: World Scientific. 182--199 (2019; Zbl 1423.52027) Full Text: DOI
Chbili, Nafaa Graph polynomials and symmetries. (English) Zbl 1418.05078 J. Algebra Appl. 18, No. 9, Article ID 1950172, 8 p. (2019). MSC: 05C31 PDF BibTeX XML Cite \textit{N. Chbili}, J. Algebra Appl. 18, No. 9, Article ID 1950172, 8 p. (2019; Zbl 1418.05078) Full Text: DOI
Tran, Tan Nhat; Yoshinaga, Masahiko Combinatorics of certain abelian Lie group arrangements and chromatic quasi-polynomials. (English) Zbl 1414.05153 J. Comb. Theory, Ser. A 165, 258-272 (2019). MSC: 05C31 52C35 PDF BibTeX XML Cite \textit{T. N. Tran} and \textit{M. Yoshinaga}, J. Comb. Theory, Ser. A 165, 258--272 (2019; Zbl 1414.05153) Full Text: DOI
Morse, Ada Interlacement and activities in delta-matroids. (English) Zbl 1414.05069 Eur. J. Comb. 78, 13-27 (2019). MSC: 05B35 52B40 PDF BibTeX XML Cite \textit{A. Morse}, Eur. J. Comb. 78, 13--27 (2019; Zbl 1414.05069) Full Text: DOI arXiv
Mphako-Banda, Eunice An introduction to the \(k\)-defect polynomials. (English) Zbl 1411.05132 Quaest. Math. 42, No. 2, 207-216 (2019). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{E. Mphako-Banda}, Quaest. Math. 42, No. 2, 207--216 (2019; Zbl 1411.05132) Full Text: DOI
Aiello, Valeriano; Conti, Roberto Graph polynomials and link invariants as positive type functions on Thompson’s group \(F\). (English) Zbl 1412.43007 J. Knot Theory Ramifications 28, No. 2, Article ID 1950006, 17 p. (2019). Reviewer: Ioan Pop (Iaşi) MSC: 43A35 57M27 05C31 PDF BibTeX XML Cite \textit{V. Aiello} and \textit{R. Conti}, J. Knot Theory Ramifications 28, No. 2, Article ID 1950006, 17 p. (2019; Zbl 1412.43007) Full Text: DOI arXiv
Delbourgo, Daniel; Morgan, Kerri An algorithm which outputs a graph with a specified chromatic factor. (English) Zbl 1406.05046 Discrete Appl. Math. 257, 128-150 (2019). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{D. Delbourgo} and \textit{K. Morgan}, Discrete Appl. Math. 257, 128--150 (2019; Zbl 1406.05046) Full Text: DOI
Liao, Yunhua; Xie, Xiaoliang; Hou, Yaoping; Aziz-Alaoui, M. A. Tutte polynomials of two self-similar network models. (English) Zbl 1412.82011 J. Stat. Phys. 174, No. 4, 893-905 (2019). MSC: 82B20 05C05 05C82 05C31 PDF BibTeX XML Cite \textit{Y. Liao} et al., J. Stat. Phys. 174, No. 4, 893--905 (2019; Zbl 1412.82011) Full Text: DOI
Gioan, Emeric; Yuen, Chi Ho On the number of circuit-cocircuit reversal classes of an oriented matroid. (English) Zbl 1405.05027 Discrete Math. 342, No. 4, 1056-1059 (2019). MSC: 05B35 05C31 52B40 PDF BibTeX XML Cite \textit{E. Gioan} and \textit{C. H. Yuen}, Discrete Math. 342, No. 4, 1056--1059 (2019; Zbl 1405.05027) Full Text: DOI arXiv
Kayibi, Koko K.; Samee, U.; Pirzada, S. Cyclic flats and corners of the linking polynomial. (English) Zbl 1409.05046 Acta Univ. Sapientiae, Math. 10, No. 1, 189-197 (2018). MSC: 05B35 90C27 PDF BibTeX XML Cite \textit{K. K. Kayibi} et al., Acta Univ. Sapientiae, Math. 10, No. 1, 189--197 (2018; Zbl 1409.05046) Full Text: DOI
Jakobson, Dmitry; MacRury, Callum; Norin, Sergey; Turner, Lise Distribution of coefficients of rank polynomials for random sparse graphs. (English) Zbl 1406.05047 Electron. J. Comb. 25, No. 4, Research Paper P4.50, 29 p. (2018). MSC: 05C31 05C80 05C42 05C63 60B10 PDF BibTeX XML Cite \textit{D. Jakobson} et al., Electron. J. Comb. 25, No. 4, Research Paper P4.50, 29 p. (2018; Zbl 1406.05047) Full Text: Link
Dupont, Clément; Fink, Alex; Moci, Luca Universal Tutte characters via combinatorial coalgebras. (English) Zbl 1433.16037 Algebr. Comb. 1, No. 5, 603-651 (2018). MSC: 16T10 16T15 05B35 05C31 PDF BibTeX XML Cite \textit{C. Dupont} et al., Algebr. Comb. 1, No. 5, 603--651 (2018; Zbl 1433.16037) Full Text: DOI arXiv
Pérez-Rosés, Hebert Sixty years of network reliability. (English) Zbl 1432.68045 Math. Comput. Sci. 12, No. 3, 275-293 (2018). MSC: 68M15 05C31 05C85 05C90 68M10 90B25 94C15 PDF BibTeX XML Cite \textit{H. Pérez-Rosés}, Math. Comput. Sci. 12, No. 3, 275--293 (2018; Zbl 1432.68045) Full Text: DOI
Moffatt, Iain; Smith, Ben Matroidal frameworks for topological Tutte polynomials. (English) Zbl 1397.05084 J. Comb. Theory, Ser. B 133, 1-31 (2018). MSC: 05C31 05B35 52B40 PDF BibTeX XML Cite \textit{I. Moffatt} and \textit{B. Smith}, J. Comb. Theory, Ser. B 133, 1--31 (2018; Zbl 1397.05084) Full Text: DOI
Farr, G. E. Minors for alternating dimaps. (English) Zbl 1396.05045 Q. J. Math. 69, No. 1, 285-320 (2018). MSC: 05C20 05C83 05C31 PDF BibTeX XML Cite \textit{G. E. Farr}, Q. J. Math. 69, No. 1, 285--320 (2018; Zbl 1396.05045) Full Text: DOI arXiv
Curticapean, Radu Block interpolation: a framework for tight exponential-time counting complexity. (English) Zbl 1394.68158 Inf. Comput. 261, Part 2, 265-280 (2018). MSC: 68Q17 05C31 PDF BibTeX XML Cite \textit{R. Curticapean}, Inf. Comput. 261, Part 2, 265--280 (2018; Zbl 1394.68158) Full Text: DOI
Delucchi, Emanuele; Moci, Luca Products of arithmetic matroids and quasipolynomial invariants of CW-complexes. (English) Zbl 1385.05029 J. Comb. Theory, Ser. A 157, 28-40 (2018). MSC: 05B35 05C31 52B40 PDF BibTeX XML Cite \textit{E. Delucchi} and \textit{L. Moci}, J. Comb. Theory, Ser. A 157, 28--40 (2018; Zbl 1385.05029) Full Text: DOI
Lin, Zhicong Restricted inversion sequences and enhanced 3-noncrossing partitions. (English) Zbl 1384.05045 Eur. J. Comb. 70, 202-211 (2018). MSC: 05A18 05A15 05A10 PDF BibTeX XML Cite \textit{Z. Lin}, Eur. J. Comb. 70, 202--211 (2018; Zbl 1384.05045) Full Text: DOI arXiv
Dukes, Mark; Selig, Thomas Decomposing recurrent states of the Abelian sandpile model. (English) Zbl 1384.05099 Sémin. Lothar. Comb. 77(2016-2018), B77g, 25 p. (2018). MSC: 05C31 05C70 60J10 PDF BibTeX XML Cite \textit{M. Dukes} and \textit{T. Selig}, Sémin. Lothar. Comb. 77, B77g, 25 p. (2018; Zbl 1384.05099) Full Text: Link
Nakamigawa, Tomoki; Sakuma, Tadashi The expansion of a chord diagram and the Tutte polynomial. (English) Zbl 1384.05101 Discrete Math. 341, No. 6, 1573-1581 (2018). MSC: 05C31 11B68 PDF BibTeX XML Cite \textit{T. Nakamigawa} and \textit{T. Sakuma}, Discrete Math. 341, No. 6, 1573--1581 (2018; Zbl 1384.05101) Full Text: DOI
Burgos, J. M. Singularities in Negami’s splitting formula for the Tutte polynomial. (English) Zbl 1380.05107 Discrete Appl. Math. 237, 65-74 (2018). MSC: 05C31 PDF BibTeX XML Cite \textit{J. M. Burgos}, Discrete Appl. Math. 237, 65--74 (2018; Zbl 1380.05107) Full Text: DOI
Krajewski, Thomas; Moffatt, Iain; Tanasa, Adrian Hopf algebras and Tutte polynomials. (English) Zbl 1379.05057 Adv. Appl. Math. 95, 271-330 (2018). MSC: 05C31 16T05 PDF BibTeX XML Cite \textit{T. Krajewski} et al., Adv. Appl. Math. 95, 271--330 (2018; Zbl 1379.05057) Full Text: DOI arXiv
Brijder, Robert Orienting transversals and transition polynomials of multimatroids. (English) Zbl 1386.05025 Adv. Appl. Math. 94, 120-155 (2018). MSC: 05B35 PDF BibTeX XML Cite \textit{R. Brijder}, Adv. Appl. Math. 94, 120--155 (2018; Zbl 1386.05025) Full Text: DOI
Backman, Spencer Partial graph orientations and the Tutte polynomial. (English) Zbl 1378.05093 Adv. Appl. Math. 94, 103-119 (2018). MSC: 05C31 05E40 PDF BibTeX XML Cite \textit{S. Backman}, Adv. Appl. Math. 94, 103--119 (2018; Zbl 1378.05093) Full Text: DOI arXiv
Bonin, Joseph E.; Kung, Joseph P. S. The \(\mathcal{G}\)-invariant and catenary data of a matroid. (English) Zbl 1378.05020 Adv. Appl. Math. 94, 39-70 (2018). MSC: 05B35 05C31 52B40 PDF BibTeX XML Cite \textit{J. E. Bonin} and \textit{J. P. S. Kung}, Adv. Appl. Math. 94, 39--70 (2018; Zbl 1378.05020) Full Text: DOI arXiv
Knauer, Kolja; Martínez-Sandoval, Leonardo; Ramírez Alfonsín, Jorge Luis A Tutte polynomial inequality for lattice path matroids. (English) Zbl 1377.05089 Adv. Appl. Math. 94, 23-38 (2018). MSC: 05C31 05B35 05C30 05C15 52B40 PDF BibTeX XML Cite \textit{K. Knauer} et al., Adv. Appl. Math. 94, 23--38 (2018; Zbl 1377.05089) Full Text: DOI
Chan, Swee Hong Abelian sandpile model and Biggs-Merino polynomial for directed graphs. (English) Zbl 1373.05075 J. Comb. Theory, Ser. A 154, 145-171 (2018). MSC: 05C20 05C31 PDF BibTeX XML Cite \textit{S. H. Chan}, J. Comb. Theory, Ser. A 154, 145--171 (2018; Zbl 1373.05075) Full Text: DOI
Aguiar, Marcelo; Chan, Swee Hong Toric arrangements associated to graphs. (English) Zbl 1385.05027 Sémin. Lothar. Comb. 78B, 78B.84, 12 p. (2017). MSC: 05B35 05C31 14M25 52C35 PDF BibTeX XML Cite \textit{M. Aguiar} and \textit{S. H. Chan}, Sémin. Lothar. Comb. 78B, 78B.84, 12 p. (2017; Zbl 1385.05027) Full Text: Link
Backman, Spencer; Lenz, Matthias A convolution formula for Tutte polynomials of arithmetic matroids and other combinatorial structures. (English) Zbl 1384.05062 Sémin. Lothar. Comb. 78B, 78B.4, 12 p. (2017). MSC: 05B35 05C31 05E45 52B40 14M15 PDF BibTeX XML Cite \textit{S. Backman} and \textit{M. Lenz}, Sémin. Lothar. Comb. 78B, 78B.4, 12 p. (2017; Zbl 1384.05062) Full Text: Link arXiv
Brand, Cornelius; Dell, Holger; Roth, Marc Fine-grained dichotomies for the Tutte plane and Boolean #CSP. (English) Zbl 1394.68167 Guo, Jiong (ed.) et al., 11th international symposium on parameterized and exact computation (IPEC 2016), Aarhus, Denmark, August 24–26, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-023-1). LIPIcs – Leibniz International Proceedings in Informatics 63, Article 9, 14 p. (2017). MSC: 68Q25 05C31 68Q17 PDF BibTeX XML Cite \textit{C. Brand} et al., LIPIcs -- Leibniz Int. Proc. Inform. 63, Article 9, 14 p. (2017; Zbl 1394.68167) Full Text: DOI
Gong, Helin; Metsidik, Metrose Constructions of pairs of Tutte-equivalent graphs. (English) Zbl 06836988 Ars Comb. 135, 223-234 (2017). MSC: 05C31 PDF BibTeX XML Cite \textit{H. Gong} and \textit{M. Metsidik}, Ars Comb. 135, 223--234 (2017; Zbl 06836988)
Şahin, Abdulgani A study about the Tutte polynomials of benzenoid chains. (English) Zbl 1422.57006 Topol. Algebra Appl. 5, 28-32 (2017). Reviewer: Senja Barthel (Sion) MSC: 57M15 57M25 57M27 PDF BibTeX XML Cite \textit{A. Şahin}, Topol. Algebra Appl. 5, 28--32 (2017; Zbl 1422.57006) Full Text: DOI
Patel, Viresh; Regts, Guus Deterministic polynomial-time approximation algorithms for partition functions and graph polynomials. (English) Zbl 1378.05099 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 971-977 (2017). MSC: 05C31 05C69 05C85 68W25 PDF BibTeX XML Cite \textit{V. Patel} and \textit{G. Regts}, Electron. Notes Discrete Math. 61, 971--977 (2017; Zbl 1378.05099) Full Text: DOI arXiv
Ok, Seongmin; Perrett, Thomas J. Density of real zeros of the Tutte polynomial. (English) Zbl 1378.05098 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 941-946 (2017). MSC: 05C31 PDF BibTeX XML Cite \textit{S. Ok} and \textit{T. J. Perrett}, Electron. Notes Discrete Math. 61, 941--946 (2017; Zbl 1378.05098) Full Text: DOI
Nakamigawa, Tomoki; Sakuma, Tadashi The expansion of a chord diagram and the Tutte polynomial. (English) Zbl 1378.05097 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 917-923 (2017). MSC: 05C31 PDF BibTeX XML Cite \textit{T. Nakamigawa} and \textit{T. Sakuma}, Electron. Notes Discrete Math. 61, 917--923 (2017; Zbl 1378.05097) Full Text: DOI
Goodall, Andrew; Litjens, Bart; Regts, Guus; Vena, Lluís A Tutte polynomial for non-orientable maps. (English) Zbl 1378.05094 Drmota, Michael (ed.) et al., Extended abstracts of the ninth European conference on combinatorics, graph theory and applications, EuroComb 2017, Vienna, Austria, August 28 – September 1, 2017. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 61, 513-519 (2017). MSC: 05C31 05C60 PDF BibTeX XML Cite \textit{A. Goodall} et al., Electron. Notes Discrete Math. 61, 513--519 (2017; Zbl 1378.05094) Full Text: DOI
Patel, Viresh; Regts, Guus Deterministic polynomial-time approximation algorithms for partition functions and graph polynomials. (English) Zbl 1383.68099 SIAM J. Comput. 46, No. 6, 1893-1919 (2017). MSC: 68W25 05C31 05C85 PDF BibTeX XML Cite \textit{V. Patel} and \textit{G. Regts}, SIAM J. Comput. 46, No. 6, 1893--1919 (2017; Zbl 1383.68099) Full Text: DOI
Goldberg, Leslie Ann; Guo, Heng The complexity of approximating complex-valued Ising and Tutte partition functions. (English) Zbl 1382.68090 Comput. Complexity 26, No. 4, 765-833 (2017). MSC: 68Q17 05C31 68Q12 PDF BibTeX XML Cite \textit{L. A. Goldberg} and \textit{H. Guo}, Comput. Complexity 26, No. 4, 765--833 (2017; Zbl 1382.68090) Full Text: DOI
Kung, Joseph P. S. Syzygies on Tutte polynomials of freedom matroids. (English) Zbl 1390.05041 Ann. Comb. 21, No. 4, 605-628 (2017). Reviewer: Iain Moffatt (Egham) MSC: 05B35 52B40 05B20 05C35 05D99 06C10 51M04 PDF BibTeX XML Cite \textit{J. P. S. Kung}, Ann. Comb. 21, No. 4, 605--628 (2017; Zbl 1390.05041) Full Text: DOI
Geloun, Joseph Ben; Caravelli, Francesco On an ordering-dependent generalization of the Tutte polynomial. (English) Zbl 1373.82019 J. Stat. Phys. 168, No. 5, 1105-1124 (2017). MSC: 82B20 05C31 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{F. Caravelli}, J. Stat. Phys. 168, No. 5, 1105--1124 (2017; Zbl 1373.82019) Full Text: DOI
Backman, Spencer; Hopkins, Sam Fourientations and the Tutte polynomial. (English) Zbl 1371.05132 Res. Math. Sci. 4, Paper No. 18, 57 p. (2017). MSC: 05C31 PDF BibTeX XML Cite \textit{S. Backman} and \textit{S. Hopkins}, Res. Math. Sci. 4, Paper No. 18, 57 p. (2017; Zbl 1371.05132) Full Text: DOI
Chung, Fan; Graham, Ron The drop polynomial of a weighted digraph. (English) Zbl 1368.05072 J. Comb. Theory, Ser. B 126, 62-82 (2017). MSC: 05C31 05C20 05C22 PDF BibTeX XML Cite \textit{F. Chung} and \textit{R. Graham}, J. Comb. Theory, Ser. B 126, 62--82 (2017; Zbl 1368.05072) Full Text: DOI
Anzis, Benjamin; Garrousian, Mehdi; Tohǎneanu, Ştefan O. Generalized star configurations and the Tutte polynomial. (English) Zbl 1368.05071 J. Algebr. Comb. 46, No. 1, 165-187 (2017). MSC: 05C31 05B35 13D40 94B27 11T71 14G50 94B05 PDF BibTeX XML Cite \textit{B. Anzis} et al., J. Algebr. Comb. 46, No. 1, 165--187 (2017; Zbl 1368.05071) Full Text: DOI
Cameron, Peter J. Notes on counting. An introduction to enumerative combinatorics. (English) Zbl 1375.05001 Australian Mathematical Society Lecture Series 26. Cambridge: Cambridge University Press (ISBN 978-1-108-41736-5/hbk; 978-1-108-40495-2/pbk; 978-1-108-27745-7/ebook). xii, 222 p. (2017). Reviewer: László A. Székely (Columbia) MSC: 05-01 05A15 05A16 05A18 05A19 05A30 11B68 PDF BibTeX XML Cite \textit{P. J. Cameron}, Notes on counting. An introduction to enumerative combinatorics. Cambridge: Cambridge University Press (2017; Zbl 1375.05001) Full Text: DOI
Kochol, Martin Edge cut splitting formulas for Tutte-Grothendieck invariants. (English) Zbl 1362.05122 J. Comb. Theory, Ser. B 125, 114-131 (2017). MSC: 05C85 05C25 05C31 PDF BibTeX XML Cite \textit{M. Kochol}, J. Comb. Theory, Ser. B 125, 114--131 (2017; Zbl 1362.05122) Full Text: DOI
Cameron, Peter J.; Morgan, Kerri Algebraic properties of chromatic roots. (English) Zbl 1355.05134 Electron. J. Comb. 24, No. 1, Research Paper P1.21, 14 p. (2017). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{P. J. Cameron} and \textit{K. Morgan}, Electron. J. Comb. 24, No. 1, Research Paper P1.21, 14 p. (2017; Zbl 1355.05134) Full Text: Link arXiv
Kuptsov, Andrey; Lerner, Eduard; Mukhamedjanova, Sofya Flow polynomials as Feynman amplitudes and their \(\alpha\)-representation. (English) Zbl 1355.05136 Electron. J. Comb. 24, No. 1, Research Paper P1.11, 19 p. (2017). MSC: 05C31 05C40 PDF BibTeX XML Cite \textit{A. Kuptsov} et al., Electron. J. Comb. 24, No. 1, Research Paper P1.11, 19 p. (2017; Zbl 1355.05136) Full Text: Link
Morgan, Kerri; Chen, Rui An infinite family of 2-connected graphs that have reliability factorisations. (English) Zbl 1352.05100 Discrete Appl. Math. 218, 123-127 (2017). MSC: 05C40 05C31 90B25 PDF BibTeX XML Cite \textit{K. Morgan} and \textit{R. Chen}, Discrete Appl. Math. 218, 123--127 (2017; Zbl 1352.05100) Full Text: DOI
Shi, Yongtang; Dehmer, Matthias; Li, Xueliang; Gutman, Ivan Graph polynomials. (English) Zbl 1362.05003 Discrete Mathematics and Its Applications. Boca Raton, FL: CRC Press (ISBN 978-1-4987-5590-0/hbk; 978-1-4987-5591-7/ebook). xii, 249 p. (2017). Reviewer: Matthias Beck (San Francisco) MSC: 05-02 05-06 05C31 05C90 00B15 PDF BibTeX XML Cite \textit{Y. Shi} et al., Graph polynomials. Boca Raton, FL: CRC Press (2017; Zbl 1362.05003) Full Text: DOI
Kayibi, Koko K.; Pirzada, S.; Alghamdi, Ahmad M. Linear relations on the coefficients of the linking polynomial. (English) Zbl 1413.05045 Creat. Math. Inform. 25, No. 2, 177-182 (2016). MSC: 05B35 52B40 05C31 68R10 PDF BibTeX XML Cite \textit{K. K. Kayibi} et al., Creat. Math. Inform. 25, No. 2, 177--182 (2016; Zbl 1413.05045)
Hiraoka, Yasuaki; Shirai, Tomoyuki Tutte polynomials and random-cluster models in Bernoulli cell complexes. (English) Zbl 1373.60020 RIMS Kôkyûroku Bessatsu B59, 289-304 (2016). MSC: 60C05 05C80 05E45 PDF BibTeX XML Cite \textit{Y. Hiraoka} and \textit{T. Shirai}, RIMS Kôkyûroku Bessatsu B59, 289--304 (2016; Zbl 1373.60020) Full Text: arXiv
Liao, Yunhua; Xie, Xiaoliang Tutte polynomial of a two point join graph and its application. (Chinese. English summary) Zbl 1363.05120 Acta Math. Appl. Sin. 39, No. 3, 392-402 (2016). MSC: 05C31 05C82 PDF BibTeX XML Cite \textit{Y. Liao} and \textit{X. Xie}, Acta Math. Appl. Sin. 39, No. 3, 392--402 (2016; Zbl 1363.05120)
Cai, Jin-Yi; Guo, Heng; Williams, Tyson The complexity of counting edge colorings and a dichotomy for some higher domain Holant problems. (English) Zbl 1344.05060 Res. Math. Sci. 3, Paper No. 18, 77 p. (2016). MSC: 05C15 05C10 05C31 12F10 PDF BibTeX XML Cite \textit{J.-Y. Cai} et al., Res. Math. Sci. 3, Paper No. 18, 77 p. (2016; Zbl 1344.05060) Full Text: DOI
Chen, Hanlin; Deng, Hanyuan Tutte polynomial of scale-free networks. (English) Zbl 1342.82022 J. Stat. Phys. 163, No. 4, 714-732 (2016). MSC: 82B20 05C82 05C31 PDF BibTeX XML Cite \textit{H. Chen} and \textit{H. Deng}, J. Stat. Phys. 163, No. 4, 714--732 (2016; Zbl 1342.82022) Full Text: DOI
Gong, Helin; Jin, Xian’an; Zhang, Fuji Tutte polynomials for benzenoid systems with one branched hexagon. (English) Zbl 1364.92063 J. Math. Chem. 54, No. 5, 1057-1071 (2016); erratum ibid. 54, No. 8, 1748-1749 (2016). MSC: 92E10 05C90 PDF BibTeX XML Cite \textit{H. Gong} et al., J. Math. Chem. 54, No. 5, 1057--1071 (2016; Zbl 1364.92063) Full Text: DOI
Mani, Arun P.; Stones, Rebecca J. The number of labeled connected graphs modulo prime powers. (English) Zbl 1336.05066 SIAM J. Discrete Math. 30, No. 2, 1046-1057 (2016). MSC: 05C30 05C31 05C78 05C40 PDF BibTeX XML Cite \textit{A. P. Mani} and \textit{R. J. Stones}, SIAM J. Discrete Math. 30, No. 2, 1046--1057 (2016; Zbl 1336.05066) Full Text: DOI
Perrot, Kévin; van Pham, Trung Chip-firing game and a partial Tutte polynomial for Eulerian digraphs. (English) Zbl 1335.91023 Electron. J. Comb. 23, No. 1, Research Paper P1.57, 34 p. (2016). MSC: 91A43 05C57 91A46 05C20 05C31 05C45 PDF BibTeX XML Cite \textit{K. Perrot} and \textit{T. van Pham}, Electron. J. Comb. 23, No. 1, Research Paper P1.57, 34 p. (2016; Zbl 1335.91023) Full Text: Link
Fink, Alex; Moci, Luca Matroids over a ring. (English) Zbl 1335.05031 J. Eur. Math. Soc. (JEMS) 18, No. 4, 681-731 (2016). MSC: 05B35 13F05 52B40 05C31 PDF BibTeX XML Cite \textit{A. Fink} and \textit{L. Moci}, J. Eur. Math. Soc. (JEMS) 18, No. 4, 681--731 (2016; Zbl 1335.05031) Full Text: DOI
Avohou, Remi Cocou Polynomial invariants for arbitrary rank \(D\) weakly-colored stranded graphs. (English) Zbl 1334.05064 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 030, 23 p. (2016). MSC: 05C31 05C10 05C15 57M15 PDF BibTeX XML Cite \textit{R. C. Avohou}, SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 030, 23 p. (2016; Zbl 1334.05064) Full Text: DOI arXiv
Lenz, Matthias Zonotopal algebra and forward exchange matroids. (English) Zbl 1333.05317 Adv. Math. 294, 819-852 (2016). MSC: 05E15 05E10 05B35 52B40 13B25 16S32 41A15 05C31 41A63 47F05 PDF BibTeX XML Cite \textit{M. Lenz}, Adv. Math. 294, 819--852 (2016; Zbl 1333.05317) Full Text: DOI arXiv
Kayibi, Koko K.; Pirzada, S. On the activities of \(p\)-basis of matroid perspectives. (English) Zbl 1333.05064 Discrete Math. 339, No. 6, 1629-1639 (2016). MSC: 05B35 52B40 05C31 PDF BibTeX XML Cite \textit{K. K. Kayibi} and \textit{S. Pirzada}, Discrete Math. 339, No. 6, 1629--1639 (2016; Zbl 1333.05064) Full Text: DOI
Forge, David; Zaslavsky, Thomas Lattice points in orthotopes and a huge polynomial Tutte invariant of weighted gain graphs. (English) Zbl 1332.05065 J. Comb. Theory, Ser. B 118, 186-227 (2016). MSC: 05C22 05C15 PDF BibTeX XML Cite \textit{D. Forge} and \textit{T. Zaslavsky}, J. Comb. Theory, Ser. B 118, 186--227 (2016; Zbl 1332.05065) Full Text: DOI arXiv
Johnsen, Trygve; Roksvold, Jan; Verdure, Hugues A generalization of weight polynomials to matroids. (English) Zbl 1327.05047 Discrete Math. 339, No. 2, 632-645 (2016). MSC: 05B25 05C31 PDF BibTeX XML Cite \textit{T. Johnsen} et al., Discrete Math. 339, No. 2, 632--645 (2016; Zbl 1327.05047) Full Text: DOI arXiv
Elizalde, Sergi; Rubey, Martin Symmetries of statistics on lattice paths between two boundaries. (English) Zbl 1327.05338 Adv. Math. 287, 347-388 (2016). MSC: 05E10 05C31 05A19 52C05 05A15 05B35 05E05 PDF BibTeX XML Cite \textit{S. Elizalde} and \textit{M. Rubey}, Adv. Math. 287, 347--388 (2016; Zbl 1327.05338) Full Text: DOI arXiv
Allagan, Julian A.; Mphako-Banda, Eunice Tutte polynomial of some multigraphs. (English) Zbl 1440.05123 Quaest. Math. 38, No. 5, 709-724 (2015). MSC: 05C31 05C85 PDF BibTeX XML Cite \textit{J. A. Allagan} and \textit{E. Mphako-Banda}, Quaest. Math. 38, No. 5, 709--724 (2015; Zbl 1440.05123) Full Text: DOI
Mphako-Banda, Eunice; Mansour, Toufik Defect polynomials and Tutte polynomials of some asymmetric graphs. (English) Zbl 1342.05047 Turk. J. Math. 39, No. 5, 706-718 (2015). MSC: 05C15 05C99 PDF BibTeX XML Cite \textit{E. Mphako-Banda} and \textit{T. Mansour}, Turk. J. Math. 39, No. 5, 706--718 (2015; Zbl 1342.05047) Full Text: DOI Link
Fink, Alex; Moci, Luca Matroids over a ring. (English) Zbl 1332.05028 Benedetti, Bruno (ed.) et al., Combinatorial methods in topology and algebra. Based on the presentations at the INdAM conference, CoMeTa 2013, Cortona, Italy, September 2013. Cham: Springer (ISBN 978-3-319-20154-2/hbk; 978-3-319-20155-9/ebook). Springer INdAM Series 12, 41-47 (2015). Reviewer: S. A. Seyed Fakhari (Tehran) MSC: 05B35 05E40 PDF BibTeX XML Cite \textit{A. Fink} and \textit{L. Moci}, Springer INdAM Ser. 12, 41--47 (2015; Zbl 1332.05028) Full Text: DOI
Royle, Gordon F.; Sokal, Alan D. Linear bound in terms of maxmaxflow for the chromatic roots of series-parallel graphs. (English) Zbl 1323.05071 SIAM J. Discrete Math. 29, No. 4, 2117-2159 (2015). MSC: 05C31 05A20 05C15 05C21 05E99 30C15 37F10 37F45 82B20 PDF BibTeX XML Cite \textit{G. F. Royle} and \textit{A. D. Sokal}, SIAM J. Discrete Math. 29, No. 4, 2117--2159 (2015; Zbl 1323.05071) Full Text: DOI arXiv
Peng, Junhao; Xiong, Jian; Xu, Guoai Tutte polynomial of pseudofractal scale-free web. (English) Zbl 1323.05070 J. Stat. Phys. 159, No. 5, 1196-1215 (2015). MSC: 05C31 05C90 68Q17 PDF BibTeX XML Cite \textit{J. Peng} et al., J. Stat. Phys. 159, No. 5, 1196--1215 (2015; Zbl 1323.05070) Full Text: DOI arXiv
Yan, Catherine H. Parking functions. (English) Zbl 1325.05022 Bóna, Miklós (ed.), Handbook of enumerative combinatorics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-2085-8/hbk; 978-1-4822-2086-5/ebook). Discrete Mathematics and its Applications, 835-893 (2015). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05A15 05C85 05C30 05C31 05C42 05C40 05C78 PDF BibTeX XML Cite \textit{C. H. Yan}, in: Handbook of enumerative combinatorics. Boca Raton, FL: CRC Press. 835--893 (2015; Zbl 1325.05022)
Butler, Clark; Chmutov, Sergei Bollobás-Riordan and relative Tutte polynomials. (English) Zbl 1326.05067 Arnold Math. J. 1, No. 3, 283-298 (2015). Reviewer: Iain Moffatt (Egham) MSC: 05C31 05C10 PDF BibTeX XML Cite \textit{C. Butler} and \textit{S. Chmutov}, Arnold Math. J. 1, No. 3, 283--298 (2015; Zbl 1326.05067) Full Text: DOI arXiv
Azarija, Jernej Tutte polynomials and a stronger version of the Akiyama-Harary problem. (English) Zbl 1326.05066 Graphs Comb. 31, No. 5, 1155-1161 (2015). Reviewer: Iain Moffatt (Egham) MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{J. Azarija}, Graphs Comb. 31, No. 5, 1155--1161 (2015; Zbl 1326.05066) Full Text: DOI arXiv
Morton, Jason; Turner, Jacob Computing the Tutte polynomial of lattice path matroids using determinantal circuits. (English) Zbl 1329.68120 Theor. Comput. Sci. 598, 150-156 (2015). MSC: 68Q12 05B35 PDF BibTeX XML Cite \textit{J. Morton} and \textit{J. Turner}, Theor. Comput. Sci. 598, 150--156 (2015; Zbl 1329.68120) Full Text: DOI arXiv
Wang, Suijie Möbius conjugation and convolution formulae. (English) Zbl 1319.05073 J. Comb. Theory, Ser. B 115, 117-131 (2015). MSC: 05C31 05B35 52C35 PDF BibTeX XML Cite \textit{S. Wang}, J. Comb. Theory, Ser. B 115, 117--131 (2015; Zbl 1319.05073) Full Text: DOI arXiv
Kuperberg, Greg How hard is it to approximate the Jones polynomial? (English) Zbl 1337.68109 Theory Comput. 11, Paper No. 6, 183-219 (2015). MSC: 68Q12 05C31 57M27 68Q17 PDF BibTeX XML Cite \textit{G. Kuperberg}, Theory Comput. 11, Paper No. 6, 183--219 (2015; Zbl 1337.68109) Full Text: DOI
Bousquet-Mélou, Mireille; Courtiel, Julien Spanning forests in regular planar maps. (English) Zbl 1319.05070 J. Comb. Theory, Ser. A 135, 1-59 (2015). MSC: 05C31 05C30 05C22 05C05 PDF BibTeX XML Cite \textit{M. Bousquet-Mélou} and \textit{J. Courtiel}, J. Comb. Theory, Ser. A 135, 1--59 (2015; Zbl 1319.05070) Full Text: DOI
Traldi, Lorenzo The transition matroid of a 4-regular graph: an introduction. (English) Zbl 1319.05034 Eur. J. Comb. 50, 180-207 (2015). MSC: 05B35 05C31 PDF BibTeX XML Cite \textit{L. Traldi}, Eur. J. Comb. 50, 180--207 (2015; Zbl 1319.05034) Full Text: DOI arXiv