Kaul, Hemanshu; Mudrock, Jeffrey A. On the chromatic polynomial and counting DP-colorings of graphs. (English) Zbl 07304626 Adv. Appl. Math. 123, Article ID 102131, 26 p. (2021). MSC: 05C15 05C30 05C69 PDF BibTeX XML Cite \textit{H. Kaul} and \textit{J. A. Mudrock}, Adv. Appl. Math. 123, Article ID 102131, 26 p. (2021; Zbl 07304626) Full Text: DOI
Han, Youfa; Wang, Xue; Li, Dandan Properties of coloring the annular region. (Chinese. English summary) Zbl 07295425 J. Liaoning Norm. Univ., Nat. Sci. 43, No. 2, 145-149 (2020). MSC: 05C15 05C10 PDF BibTeX XML Cite \textit{Y. Han} et al., J. Liaoning Norm. Univ., Nat. Sci. 43, No. 2, 145--149 (2020; Zbl 07295425) 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
Bernardi, Olivier; Nadeau, Philippe Combinatorial reciprocity for the chromatic polynomial and the chromatic symmetric function. (English) Zbl 1445.05052 Discrete Math. 343, No. 10, Article ID 111989, 12 p. (2020). MSC: 05C31 05C15 05E05 PDF BibTeX XML Cite \textit{O. Bernardi} and \textit{P. Nadeau}, Discrete Math. 343, No. 10, Article ID 111989, 12 p. (2020; Zbl 1445.05052) Full Text: DOI
Ebsen, Oliver; Schacht, Mathias Homomorphism thresholds for odd cycles. (English) Zbl 1449.05149 Combinatorica 40, No. 1, 39-62 (2020). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C35 05C07 05C15 05D40 PDF BibTeX XML Cite \textit{O. Ebsen} and \textit{M. Schacht}, Combinatorica 40, No. 1, 39--62 (2020; Zbl 1449.05149) Full Text: DOI
Knox, Fiachra; Mohar, Bojan Maximum number of colourings: 4-chromatic graphs. (English) Zbl 1443.05070 J. Comb. Theory, Ser. B 144, 95-118 (2020). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{F. Knox} and \textit{B. Mohar}, J. Comb. Theory, Ser. B 144, 95--118 (2020; Zbl 1443.05070) Full Text: DOI
Beck, Matthias; Farahmand, Maryam; Karunaratne, Gina; Ruiz, Sandra Zuniga Bivariate order polynomials. (English) Zbl 07214349 Graphs Comb. 36, No. 4, 921-931 (2020). MSC: 06A07 05A15 05C15 PDF BibTeX XML Cite \textit{M. Beck} et al., Graphs Comb. 36, No. 4, 921--931 (2020; Zbl 07214349) Full Text: DOI
Chmutov, Sergei; Kazarian, Maxim; Lando, Sergei Polynomial graph invariants and the KP hierarchy. (English) Zbl 1442.05101 Sel. Math., New Ser. 26, No. 3, Paper No. 34, 22 p. (2020). MSC: 05C31 05C25 34K10 05A15 16T05 PDF BibTeX XML Cite \textit{S. Chmutov} et al., Sel. Math., New Ser. 26, No. 3, Paper No. 34, 22 p. (2020; Zbl 1442.05101) Full Text: DOI
Falcón, Raúl M.; Stones, Rebecca J. Enumerating partial Latin rectangles. (English) Zbl 1443.05026 Electron. J. Comb. 27, No. 2, Research Paper P2.47, 41 p. (2020). Reviewer: Ian M. Wanless (Clayton) MSC: 05B15 05A15 PDF BibTeX XML Cite \textit{R. M. Falcón} and \textit{R. J. Stones}, Electron. J. Comb. 27, No. 2, Research Paper P2.47, 41 p. (2020; Zbl 1443.05026) Full Text: DOI
Ellzey, Brittney; Wachs, Michelle L. On enumerators of Smirnov words by descents and cyclic descents. (English) Zbl 1441.05014 J. Comb. 11, No. 3, 413-456 (2020). MSC: 05A15 05E05 05A30 PDF BibTeX XML Cite \textit{B. Ellzey} and \textit{M. L. Wachs}, J. Comb. 11, No. 3, 413--456 (2020; Zbl 1441.05014) Full Text: DOI
Dong, Fengming New expressions for order polynomials and chromatic polynomials. (English) Zbl 07202774 J. Graph Theory 94, No. 1, 30-58 (2020). MSC: 05C PDF BibTeX XML Cite \textit{F. Dong}, J. Graph Theory 94, No. 1, 30--58 (2020; Zbl 07202774) Full Text: DOI
Brown, Jason I.; Wagner, David G. On the imaginary parts of chromatic roots. (English) Zbl 07202757 J. Graph Theory 93, No. 2, 299-311 (2020). MSC: 05C PDF BibTeX XML Cite \textit{J. I. Brown} and \textit{D. G. Wagner}, J. Graph Theory 93, No. 2, 299--311 (2020; Zbl 07202757) Full Text: DOI
Giaro, Krzysztof; Kubale, Marek A note on polynomial algorithm for cost coloring of bipartite graphs with \(\Delta \leq 4\). (English) Zbl 1439.05086 Discuss. Math., Graph Theory 40, No. 3, 885-891 (2020). MSC: 05C15 05C85 PDF BibTeX XML Cite \textit{K. Giaro} and \textit{M. Kubale}, Discuss. Math., Graph Theory 40, No. 3, 885--891 (2020; Zbl 1439.05086) Full Text: DOI
Awan, Jordan; Bernardi, Olivier Tutte polynomials for directed graphs. (English) Zbl 1430.05057 J. Comb. Theory, Ser. B 140, 192-247 (2020). MSC: 05C31 05C20 05E05 05A15 PDF BibTeX XML Cite \textit{J. Awan} and \textit{O. Bernardi}, J. Comb. Theory, Ser. B 140, 192--247 (2020; Zbl 1430.05057) Full Text: DOI arXiv
Kenyon, Richard; Lam, Wai Yeung Holomorphic quadratic differentials on graphs and the chromatic polynomial. (English) Zbl 1428.05143 J. Comb. Theory, Ser. A 170, Article ID 105140, 14 p. (2020). MSC: 05C31 05C15 53A10 PDF BibTeX XML Cite \textit{R. Kenyon} and \textit{W. Y. Lam}, J. Comb. Theory, Ser. A 170, Article ID 105140, 14 p. (2020; Zbl 1428.05143) Full Text: DOI arXiv
Agol, Ian; Krushkal, Vyacheslav Structure of the flow and Yamada polynomials of cubic graphs. (English) Zbl 07278452 Gay, David T. (ed.) et al., Breadth in contemporary topology. 2017 Georgia international topology conference, University of Georgia, Athens, Georgia, USA, May 22 – June 2, 2017. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4249-1/hbk; 978-1-4704-5259-9/ebook). Proceedings of Symposia in Pure Mathematics 102, 1-20 (2019). MSC: 05C31 05C10 05C75 05C22 57M15 57R56 PDF BibTeX XML Cite \textit{I. Agol} and \textit{V. Krushkal}, Proc. Symp. Pure Math. 102, 1--20 (2019; Zbl 07278452) Full Text: DOI
Rohith Raja, M.; Naduvath, Sudev; Dominic, Charles Modified chromatic Schultz polynomial of some cycle related graphs. (English) Zbl 1444.05070 Acta Univ. M. Belii, Ser. Math. 27, 63-82 (2019). MSC: 05C31 05C15 05C12 PDF BibTeX XML Cite \textit{M. Rohith Raja} et al., Acta Univ. M. Belii, Ser. Math. 27, 63--82 (2019; Zbl 1444.05070) Full Text: Link
Kok, Johan Heuristic method to determine lucky \(k\)-polynomials for \(k\)-colorable graphs. (English) Zbl 1439.05112 Acta Univ. Sapientiae, Inform. 11, No. 2, 206-214 (2019). MSC: 05C31 05C15 05C38 05C75 05C85 PDF BibTeX XML Cite \textit{J. Kok}, Acta Univ. Sapientiae, Inform. 11, No. 2, 206--214 (2019; Zbl 1439.05112) Full Text: DOI
Luna-Olivera, Beatriz Carely; Merino, Criel; Ramírez-Ibáñez, Marcelino More connections between the matching polynomial and the chromatic polynomial. (English) Zbl 1439.05113 AKCE Int. J. Graphs Comb. 16, No. 3, 319-323 (2019). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{B. C. Luna-Olivera} et al., AKCE Int. J. Graphs Comb. 16, No. 3, 319--323 (2019; Zbl 1439.05113) Full Text: DOI
Balachandran, Niranjan; Padinhatteeri, Sajith; Spiga, Pablo Vertex transitive graphs \(G\) with \(\chi_D (G)>\chi(G)\) and small automorphism group. (English) Zbl 1433.05143 Ars Math. Contemp. 17, No. 1, 311-318 (2019). MSC: 05C25 05C78 05C15 05D40 20B25 05E18 PDF BibTeX XML Cite \textit{N. Balachandran} et al., Ars Math. Contemp. 17, No. 1, 311--318 (2019; Zbl 1433.05143) Full Text: DOI
Selezneva, S. N.; Mel’nik, M. V.; Astakhova, A. V. Coloring of pseudocubic graphs in three colors. (English. Russian original) Zbl 1445.05042 Mosc. Univ. Comput. Math. Cybern. 43, No. 2, 82-88 (2019); translation from Vestn. Mosk. Univ., Ser. XV 2019, No. 2, 49-55 (2019). MSC: 05C15 05C07 05C85 PDF BibTeX XML Cite \textit{S. N. Selezneva} et al., Mosc. Univ. Comput. Math. Cybern. 43, No. 2, 82--88 (2019; Zbl 1445.05042); translation from Vestn. Mosk. Univ., Ser. XV 2019, No. 2, 49--55 (2019) Full Text: DOI
Javed, Sana; Ahmad, Mariya; Riasat, Ayesha Chromaticity of \(K_4\)-homeomorph graphs. (English) Zbl 1427.05111 Util. Math. 111, 235-259 (2019). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{S. Javed} et al., Util. Math. 111, 235--259 (2019; Zbl 1427.05111)
Khalaf, Abdul Jalil M.; Sabbar, Mahdi Gareep Chromatic polynomial of semi-uniform hyperstar. (English) Zbl 1425.05058 Adv. Appl. Discrete Math. 20, No. 2, 193-203 (2019). MSC: 05C15 05C65 PDF BibTeX XML Cite \textit{A. J. M. Khalaf} and \textit{M. G. Sabbar}, Adv. Appl. Discrete Math. 20, No. 2, 193--203 (2019; Zbl 1425.05058) 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
Cooper, Andrew A.; de Silva, Vin; Sazdanovic, Radmila On configuration spaces and simplicial complexes. (English) Zbl 1431.55018 New York J. Math. 25, 723-744 (2019). Reviewer: Biplab Basak (New Delhi) MSC: 55U10 05C15 05C31 55R80 57Q15 PDF BibTeX XML Cite \textit{A. A. Cooper} et al., New York J. Math. 25, 723--744 (2019; Zbl 1431.55018) Full Text: Link
Cox, Danielle; Duffy, Christopher Chromatic polynomials of oriented graphs. (English) Zbl 1420.05082 Electron. J. Comb. 26, No. 3, Research Paper P3.55, 15 p. (2019). MSC: 05C31 05C15 05C20 PDF BibTeX XML Cite \textit{D. Cox} and \textit{C. Duffy}, Electron. J. Comb. 26, No. 3, Research Paper P3.55, 15 p. (2019; Zbl 1420.05082) Full Text: Link arXiv
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
Davis, Brian Unlabeled signed graph coloring. (English) Zbl 1419.05097 Rocky Mt. J. Math. 49, No. 4, 1111-1122 (2019). MSC: 05C22 05C15 05C31 PDF BibTeX XML Cite \textit{B. Davis}, Rocky Mt. J. Math. 49, No. 4, 1111--1122 (2019; Zbl 1419.05097) Full Text: DOI Euclid arXiv
Lazebnik, Felix The maximum number of colorings of graphs of given order and size: a survey. (English) Zbl 1417.05073 Discrete Math. 342, No. 10, 2783-2791 (2019). MSC: 05C15 05C31 05C35 05C30 PDF BibTeX XML Cite \textit{F. Lazebnik}, Discrete Math. 342, No. 10, 2783--2791 (2019; Zbl 1417.05073) Full Text: DOI
Qi, Hao; Wong, Tsai-Lien; Zhu, Xuding Chromatic number and orientations of graphs and signed graphs. (English) Zbl 1417.05078 Taiwanese J. Math. 23, No. 4, 767-776 (2019). MSC: 05C15 05C22 05C31 PDF BibTeX XML Cite \textit{H. Qi} et al., Taiwanese J. Math. 23, No. 4, 767--776 (2019; Zbl 1417.05078) Full Text: DOI Euclid
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
Abiad, Aida A characterization and an application of weight-regular partitions of graphs. (English) Zbl 1411.05213 Linear Algebra Appl. 569, 162-174 (2019). MSC: 05C70 05C22 05C50 05C69 PDF BibTeX XML Cite \textit{A. Abiad}, Linear Algebra Appl. 569, 162--174 (2019; Zbl 1411.05213) Full Text: DOI arXiv
Bukovac, Zoe; Farr, Graham; Morgan, Kerri Short certificates for chromatic equivalence. (English) Zbl 1411.05082 J. Graph Algorithms Appl. 23, No. 2, 227-269 (2019). MSC: 05C15 05C85 05C31 PDF BibTeX XML Cite \textit{Z. Bukovac} et al., J. Graph Algorithms Appl. 23, No. 2, 227--269 (2019; Zbl 1411.05082) Full Text: DOI
Erey, Aysel A broken cycle theorem for the restrained chromatic function. (English) Zbl 1410.05066 Turk. J. Math. 43, No. 1, 355-360 (2019). MSC: 05C15 05C30 05C31 05C85 PDF BibTeX XML Cite \textit{A. Erey}, Turk. J. Math. 43, No. 1, 355--360 (2019; Zbl 1410.05066) Full Text: DOI
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
Hallam, Joshua; Martin, Jeremy L.; Sagan, Bruce E. Increasing spanning forests in graphs and simplicial complexes. (English) Zbl 1402.05183 Eur. J. Comb. 76, 178-198 (2019). MSC: 05C78 05C31 05E45 PDF BibTeX XML Cite \textit{J. Hallam} et al., Eur. J. Comb. 76, 178--198 (2019; Zbl 1402.05183) Full Text: DOI
Karim, N. S. A.; Hasni, R. A new family of chromatically unique 6-bridge graph. (English) Zbl 1443.05069 Proyecciones 37, No. 2, 239-263 (2018). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{N. S. A. Karim} and \textit{R. Hasni}, Proyecciones 37, No. 2, 239--263 (2018; Zbl 1443.05069) Full Text: DOI
Copel, Hounam B.; Guerrero, Romulo Preston C. Chromatic polynomials of \(K_m+P_n\), \(K_m+C_n\) and \(G\circ H\). (English) Zbl 1425.05054 Adv. Appl. Discrete Math. 19, No. 4, 445-461 (2018). MSC: 05C15 PDF BibTeX XML Cite \textit{H. B. Copel} and \textit{R. P. C. Guerrero}, Adv. Appl. Discrete Math. 19, No. 4, 445--461 (2018; Zbl 1425.05054) Full Text: DOI
Tuza, Zsolt Mixed hypergraphs and beyond. (English) Zbl 1421.05068 Art Discrete Appl. Math. 1, No. 2, Paper No. P2.05, 11 p. (2018). MSC: 05C65 05C15 05C31 05B05 PDF BibTeX XML Cite \textit{Z. Tuza}, Art Discrete Appl. Math. 1, No. 2, Paper No. P2.05, 11 p. (2018; Zbl 1421.05068) Full Text: DOI
Peng, Yanling The chromaticity of a family of nonplanar graphs. (English) Zbl 1424.05101 J. Math., Wuhan Univ. 38, No. 5, 835-842 (2018). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{Y. Peng}, J. Math., Wuhan Univ. 38, No. 5, 835--842 (2018; Zbl 1424.05101) Full Text: DOI
Kupavskii, Andrey Random Kneser graphs and hypergraphs. (English) Zbl 1409.05184 Electron. J. Comb. 25, No. 4, Research Paper P4.52, 16 p. (2018). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C80 05D40 05C15 05C65 PDF BibTeX XML Cite \textit{A. Kupavskii}, Electron. J. Comb. 25, No. 4, Research Paper P4.52, 16 p. (2018; Zbl 1409.05184) Full Text: Link arXiv
Peng, Yanling The graph polynomials and their equivalence. (English) Zbl 1413.05174 J. Suzhou Univ. Sci. Technol., Nat. Sci. 35, No. 1, 12-15 (2018). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{Y. Peng}, J. Suzhou Univ. Sci. Technol., Nat. Sci. 35, No. 1, 12--15 (2018; Zbl 1413.05174) Full Text: DOI
Aliste-Prieto, José; Zamora, José; de Mier, Anna On graphs with the same restricted \(U\)-polynomial and the \(U\)-polynomial for rooted graphs. (English) Zbl 1397.05081 Garijo, Delia (ed.) et al., Discrete mathematics days 2018. Extended abstracts of the 11th “Jornadas de matemática discreta y algorítmica” (JMDA), Sevilla, Spain, June 27–29, 2018. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 68, 185-190 (2018). MSC: 05C31 05C05 PDF BibTeX XML Cite \textit{J. Aliste-Prieto} et al., Electron. Notes Discrete Math. 68, 185--190 (2018; Zbl 1397.05081) Full Text: DOI
Casals, Roger; Murphy, Emmy Differential algebra of cubic planar graphs. (English) Zbl 1397.05042 Adv. Math. 338, 401-446 (2018). MSC: 05C10 05C15 05C31 53D10 53D15 57R17 12H05 PDF BibTeX XML Cite \textit{R. Casals} and \textit{E. Murphy}, Adv. Math. 338, 401--446 (2018; Zbl 1397.05042) Full Text: DOI arXiv
Belbachir, H.; Boutiche, M. A.; Medjerredine, A. Enumerating some stable partitions involving Stirling and \(r\)-Stirling numbers of the second kind. (English) Zbl 1439.11071 Mediterr. J. Math. 15, No. 3, Paper No. 87, 12 p. (2018). MSC: 11B73 05C15 05A19 11B83 11B39 PDF BibTeX XML Cite \textit{H. Belbachir} et al., Mediterr. J. Math. 15, No. 3, Paper No. 87, 12 p. (2018; Zbl 1439.11071) Full Text: DOI
Engström, Alexander; Kohl, Florian Transfer-matrix methods meet Ehrhart theory. (English) Zbl 1397.82015 Adv. Math. 330, 1-37 (2018). Reviewer: Hasan Akin (Gaziantep) MSC: 82B20 05C15 52B20 52C35 PDF BibTeX XML Cite \textit{A. Engström} and \textit{F. Kohl}, Adv. Math. 330, 1--37 (2018; Zbl 1397.82015) Full Text: DOI arXiv
Erey, Aysel On the maximum number of colorings of a graph. (English) Zbl 1387.05087 J. Comb. 9, No. 3, 489-497 (2018). MSC: 05C15 05C30 05C31 05C35 05C69 PDF BibTeX XML Cite \textit{A. Erey}, J. Comb. 9, No. 3, 489--497 (2018; Zbl 1387.05087) Full Text: DOI arXiv
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
Sazdanovic, Radmila; Scofield, Daniel Patterns in Khovanov link and chromatic graph homology. (English) Zbl 1390.57006 J. Knot Theory Ramifications 27, No. 3, Article ID 1840007, 38 p. (2018). Reviewer: Keiji Tagami (Chiba) MSC: 57M25 57M27 PDF BibTeX XML Cite \textit{R. Sazdanovic} and \textit{D. Scofield}, J. Knot Theory Ramifications 27, No. 3, Article ID 1840007, 38 p. (2018; Zbl 1390.57006) Full Text: DOI arXiv
Erey, Aysel Maximizing the number of \(x\)-colorings of 4-chromatic graphs. (English) Zbl 1383.05099 Discrete Math. 341, No. 5, 1419-1431 (2018). MSC: 05C15 PDF BibTeX XML Cite \textit{A. Erey}, Discrete Math. 341, No. 5, 1419--1431 (2018; Zbl 1383.05099) Full Text: DOI
Cameron, Peter J.; Semeraro, Jason The cycle polynomial of a permutation group. (English) Zbl 06841858 Electron. J. Comb. 25, No. 1, Research Paper P1.14, 13 p. (2018). MSC: 20B05 05C31 PDF BibTeX XML Cite \textit{P. J. Cameron} and \textit{J. Semeraro}, Electron. J. Comb. 25, No. 1, Research Paper P1.14, 13 p. (2018; Zbl 06841858) Full Text: Link arXiv
Goodall, A.; Hermann, M.; Kotek, T.; Makowsky, J. A.; Noble, S. D. On the complexity of generalized chromatic polynomials. (English) Zbl 1378.05059 Adv. Appl. Math. 94, 71-102 (2018). MSC: 05C15 05C31 05C85 68Q17 68W05 PDF BibTeX XML Cite \textit{A. Goodall} et al., Adv. Appl. Math. 94, 71--102 (2018; Zbl 1378.05059) Full Text: DOI arXiv
Baker, Matthew Hodge theory in combinatorics. (English) Zbl 1376.05046 Bull. Am. Math. Soc., New Ser. 55, No. 1, 57-80 (2018). MSC: 05C15 05B35 58A14 14B05 PDF BibTeX XML Cite \textit{M. Baker}, Bull. Am. Math. Soc., New Ser. 55, No. 1, 57--80 (2018; Zbl 1376.05046) Full Text: DOI arXiv
Sazdanovic, Radmila; Yip, Martha A categorification of the chromatic symmetric function. (English) Zbl 1373.05204 J. Comb. Theory, Ser. A 154, 218-246 (2018). MSC: 05E05 05C31 05C15 05C62 PDF BibTeX XML Cite \textit{R. Sazdanovic} and \textit{M. Yip}, J. Comb. Theory, Ser. A 154, 218--246 (2018; Zbl 1373.05204) Full Text: DOI arXiv
Geĭn, Pavel Aleksandrovich About chromatic uniqueness of some complete tripartite graphs. (Russian. English summary) Zbl 1430.05036 Sib. Èlektron. Mat. Izv. 14, 1492-1504 (2017). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{P. A. Geĭn}, Sib. Èlektron. Mat. Izv. 14, 1492--1504 (2017; Zbl 1430.05036) Full Text: DOI
Abd Karim, Nor Suriya; Hasni, Roslan; Lau, Gee Choon A new result on chromaticity of \(K_4\)-homoemorphs with girth 9. (English) Zbl 1405.05048 Bull. Iran. Math. Soc. 43, No. 2, 319-336 (2017). MSC: 05C15 PDF BibTeX XML Cite \textit{N. S. Abd Karim} et al., Bull. Iran. Math. Soc. 43, No. 2, 319--336 (2017; Zbl 1405.05048) Full Text: Link
Borowiecki, M.; Patil, H. P. Colourings of \((k-r,k)\)-trees. (English) Zbl 1400.05078 Opusc. Math. 37, No. 4, 491-500 (2017). Reviewer: Yansheng Wu (Nanjing) MSC: 05C15 05C05 05C31 PDF BibTeX XML Cite \textit{M. Borowiecki} and \textit{H. P. Patil}, Opusc. Math. 37, No. 4, 491--500 (2017; Zbl 1400.05078) Full Text: DOI
Brown, Jason; Erey, Aysel Restraints permitting the largest number of colourings. (English) Zbl 1396.05038 Discrete Appl. Math. 222, 76-88 (2017). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{J. Brown} and \textit{A. Erey}, Discrete Appl. Math. 222, 76--88 (2017; Zbl 1396.05038) Full Text: DOI arXiv
Han, Youfa; Kang, Yunfeng; Dong, Ting Polynomial of coloring the graph. (Chinese. English summary) Zbl 1399.05045 J. Liaoning Norm. Univ., Nat. Sci. 40, No. 3, 289-292 (2017). MSC: 05C10 05C15 05C31 PDF BibTeX XML Cite \textit{Y. Han} et al., J. Liaoning Norm. Univ., Nat. Sci. 40, No. 3, 289--292 (2017; Zbl 1399.05045) Full Text: DOI
León, Emerson Stapledon decompositions and inequalities for coefficients of chromatic polynomials. (English) Zbl 1384.05100 Sémin. Lothar. Comb. 78B, 78B.24, 12 p. (2017). MSC: 05C31 05C15 52B20 11H06 PDF BibTeX XML Cite \textit{E. León}, Sémin. Lothar. Comb. 78B, 78B.24, 12 p. (2017; Zbl 1384.05100) Full Text: Link
Lau, Gee-Chon; Zhao, Haixing Some chromatic equivalence classes of complete multipartite graphs. (English) Zbl 1386.05062 Util. Math. 105, 75-85 (2017). MSC: 05C15 05C60 05C75 PDF BibTeX XML Cite \textit{G.-C. Lau} and \textit{H. Zhao}, Util. Math. 105, 75--85 (2017; Zbl 1386.05062)
Mao, Yaping; Ye, Chengfu; Li, Hengzhe; Zhang, Shumin The chromatic equivalence class of graph \(\psi_n^3(n-3,1)\). (English) Zbl 06837003 Ars Comb. 135, 399-421 (2017). MSC: 05C15 05C31 05C60 PDF BibTeX XML Cite \textit{Y. Mao} et al., Ars Comb. 135, 399--421 (2017; Zbl 06837003)
Furmánczyk, Hanna; Kubale, Marek; Mkrtchyan, Vahan V. Equitable colorings of corona multiproducts of graphs. (English) Zbl 1372.05071 Discuss. Math., Graph Theory 37, No. 4, 1079-1094 (2017). MSC: 05C15 05C76 PDF BibTeX XML Cite \textit{H. Furmánczyk} et al., Discuss. Math., Graph Theory 37, No. 4, 1079--1094 (2017; Zbl 1372.05071) Full Text: DOI arXiv
Aliste-Prieto, José; de Mier, Anna; Zamora, José On trees with the same restricted \(U\)-polynomial and the Prouhet-Tarry-Escott problem. (English) Zbl 1369.05031 Discrete Math. 340, No. 6, 1435-1441 (2017). MSC: 05C05 05E05 05C31 05C15 PDF BibTeX XML Cite \textit{J. Aliste-Prieto} et al., Discrete Math. 340, No. 6, 1435--1441 (2017; Zbl 1369.05031) Full Text: DOI
Sanli, Utkum; Cangul, Ismail Naci A new method for calculating the chromatic polynomial. (English) Zbl 1368.05055 Appl. Sci. 19, 110-121 (2017). MSC: 05C15 05C31 05C10 05C30 PDF BibTeX XML Cite \textit{U. Sanli} and \textit{I. N. Cangul}, Appl. Sci. 19, 110--121 (2017; Zbl 1368.05055) Full Text: Link
Afkhami, Mojgan; Khashyarmanesh, Kazem; Rajabi, Zohreh Some results on the annihilator graph of a commutative ring. (English) Zbl 1424.05244 Czech. Math. J. 67, No. 1, 151-169 (2017). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 05C75 13A99 05C99 05C25 PDF BibTeX XML Cite \textit{M. Afkhami} et al., Czech. Math. J. 67, No. 1, 151--169 (2017; Zbl 1424.05244) Full Text: DOI Link
Brimkov, Boris; Hicks, Illya V. Memory efficient algorithms for cactus graphs and block graphs. (English) Zbl 1361.05126 Discrete Appl. Math. 216, Part 2, 393-407 (2017). MSC: 05C85 05C38 05C12 05C31 05C15 05C90 PDF BibTeX XML Cite \textit{B. Brimkov} and \textit{I. V. Hicks}, Discrete Appl. Math. 216, Part 2, 393--407 (2017; Zbl 1361.05126) Full Text: DOI
Lowrance, Adam M.; Sazdanović, Radmila Chromatic homology, Khovanov homology, and torsion. (English) Zbl 1371.57011 Topology Appl. 222, 77-99 (2017). Reviewer: Dirk Schuetz (Durham) MSC: 57M27 05C10 05C25 PDF BibTeX XML Cite \textit{A. M. Lowrance} and \textit{R. Sazdanović}, Topology Appl. 222, 77--99 (2017; Zbl 1371.57011) Full Text: DOI arXiv
Cilleruelo, J. Visible lattice points and the chromatic zeta function of a graph. (English) Zbl 1399.05115 Acta Math. Hung. 151, No. 1, 1-7 (2017). MSC: 05C31 11M41 PDF BibTeX XML Cite \textit{J. Cilleruelo}, Acta Math. Hung. 151, No. 1, 1--7 (2017; Zbl 1399.05115) Full Text: DOI
Kok, Johan; Sudev, N. K.; Mary, U. On chromatic Zagreb indices of certain graphs. (English) Zbl 1358.05107 Discrete Math. Algorithms Appl. 9, No. 1, Article ID 1750014, 14 p. (2017). MSC: 05C15 05C07 05C55 05C40 05D40 PDF BibTeX XML Cite \textit{J. Kok} et al., Discrete Math. Algorithms Appl. 9, No. 1, Article ID 1750014, 14 p. (2017; Zbl 1358.05107) Full Text: DOI arXiv
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
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
Thomassen, Carsten The number of colorings of planar graphs with no separating triangles. (English) Zbl 1350.05043 J. Comb. Theory, Ser. B 122, 615-633 (2017). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{C. Thomassen}, J. Comb. Theory, Ser. B 122, 615--633 (2017; Zbl 1350.05043) Full Text: DOI
Wang, Wei; Qian, Jianguo; Yan, Zhidan When does the list-coloring function of a graph equal its chromatic polynomial. (English) Zbl 1350.05044 J. Comb. Theory, Ser. B 122, 543-549 (2017). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Comb. Theory, Ser. B 122, 543--549 (2017; Zbl 1350.05044) 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
Ganopol’skiĭ, R. M. Generating function for representations of graphs by \(k\)-partite graphs. (Russian. English summary) Zbl 07310325 Prikl. Diskretn. Mat. 2016, No. 1(31), 5-12 (2016). MSC: 05 11 PDF BibTeX XML Cite \textit{R. M. Ganopol'skiĭ}, Prikl. Diskretn. Mat. 2016, No. 1(31), 5--12 (2016; Zbl 07310325) Full Text: DOI MNR
Furmańczyk, Hanna; Jastrzębski, Andrzej; Kubale, Marek Equitable coloring of graphs. Recent theoretical results and new practical algorithms. (English) Zbl 07259403 Arch. Control Sci. 26, No. 3, 281-295 (2016). MSC: 05 PDF BibTeX XML Cite \textit{H. Furmańczyk} et al., Arch. Control Sci. 26, No. 3, 281--295 (2016; Zbl 07259403) Full Text: DOI
Agol, Ian; Krushkal, Vyacheslav Tutte relations, TQFT, and planarity of cubic graphs. (English) Zbl 1365.05137 Ill. J. Math. 60, No. 1, 273-288 (2016). MSC: 05C31 05C10 57R56 57M15 PDF BibTeX XML Cite \textit{I. Agol} and \textit{V. Krushkal}, Ill. J. Math. 60, No. 1, 273--288 (2016; Zbl 1365.05137) Full Text: Euclid arXiv
Kahat, Sahib Sh.; Khalaf, A. M. Chromatic polynomials and chromaticity of zero-divisor graphs. II. (English) Zbl 1358.05106 Far East J. Math. Sci. (FJMS) 100, No. 12, 2143-2151 (2016). MSC: 05C15 PDF BibTeX XML Cite \textit{S. Sh. Kahat} and \textit{A. M. Khalaf}, Far East J. Math. Sci. (FJMS) 100, No. 12, 2143--2151 (2016; Zbl 1358.05106) Full Text: DOI Link
Abd Karim, Nor Suriya; Hasni, Roslan; Lau, Gee Choon Complete solution to chromatic uniqueness of \(K_4\)-homeomorphs with girth 9. (English) Zbl 1355.05101 Appl. Math. E-Notes 16, 144-153 (2016). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{N. S. Abd Karim} et al., Appl. Math. E-Notes 16, 144--153 (2016; Zbl 1355.05101) Full Text: EMIS
Bocci, Cristiano; Cooper, Susan; Guardo, Elena; Harbourne, Brian; Janssen, Mike; Nagel, Uwe; Seceleanu, Alexandra; Van Tuyl, Adam; Vu, Thanh The Waldschmidt constant for squarefree monomial ideals. (English) Zbl 1352.13012 J. Algebr. Comb. 44, No. 4, 875-904 (2016). Reviewer: Piotr Pokora (Hannover) MSC: 13F20 13A02 14N05 PDF BibTeX XML Cite \textit{C. Bocci} et al., J. Algebr. Comb. 44, No. 4, 875--904 (2016; Zbl 1352.13012) Full Text: DOI arXiv
Brown, Jason I.; Erey, Aysel On the real roots of \(\sigma\)-polynomials. (English) Zbl 1349.05250 Graphs Comb. 32, No. 5, 1723-1730 (2016). MSC: 05C69 05E15 PDF BibTeX XML Cite \textit{J. I. Brown} and \textit{A. Erey}, Graphs Comb. 32, No. 5, 1723--1730 (2016; Zbl 1349.05250) Full Text: DOI
Mao, Yaping; Ye, Chengfu The fifth coefficient of adjoint polynomial and a new invariant. (English) Zbl 1413.05173 Ars Comb. 128, 83-102 (2016). MSC: 05C31 05C15 05C60 PDF BibTeX XML Cite \textit{Y. Mao} and \textit{C. Ye}, Ars Comb. 128, 83--102 (2016; Zbl 1413.05173)
Furmańczyk, Hanna; Kubale, Marek Equitable coloring of corona products of cubic graphs is harder than ordinary coloring. (English) Zbl 1347.05064 Ars Math. Contemp. 10, No. 2, 333-347 (2016). MSC: 05C15 05C10 68Q17 PDF BibTeX XML Cite \textit{H. Furmańczyk} and \textit{M. Kubale}, Ars Math. Contemp. 10, No. 2, 333--347 (2016; Zbl 1347.05064) Full Text: DOI arXiv
Vernier, Eric; Jacobsen, Jesper Lykke; Salas, Jesús \(Q\)-colourings of the triangular lattice: exact exponents and conformal field theory. (English) Zbl 1355.82010 J. Phys. A, Math. Theor. 49, No. 17, Article ID 174004, 45 p. (2016). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B20 81T40 82D20 82B23 82B27 PDF BibTeX XML Cite \textit{E. Vernier} et al., J. Phys. A, Math. Theor. 49, No. 17, Article ID 174004, 45 p. (2016; Zbl 1355.82010) Full Text: DOI arXiv
Gein, Pavel A. About chromatic uniqueness of complete tripartite graph \(K(s, s - 1, s - k)\), where \(k\geq1\) and \(s - k\geq 2\). (Russian. English summary) Zbl 1341.05129 Sib. Èlektron. Mat. Izv. 13, 331-337 (2016). MSC: 05C31 PDF BibTeX XML Cite \textit{P. A. Gein}, Sib. Èlektron. Mat. Izv. 13, 331--337 (2016; Zbl 1341.05129) Full Text: DOI
Perrett, Thomas A zero-free interval for chromatic polynomials of graphs with 3-leaf spanning trees. (English) Zbl 1339.05145 Discrete Math. 339, No. 11, 2706-2714 (2016). MSC: 05C15 05C05 05C31 PDF BibTeX XML Cite \textit{T. Perrett}, Discrete Math. 339, No. 11, 2706--2714 (2016; Zbl 1339.05145) Full Text: DOI arXiv
Møller, Jesper M.; Nord, Gesche Chromatic polynomials of simplicial complexes. (English) Zbl 1338.05091 Graphs Comb. 32, No. 2, 745-772 (2016). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{J. M. Møller} and \textit{G. Nord}, Graphs Comb. 32, No. 2, 745--772 (2016; Zbl 1338.05091) Full Text: DOI arXiv
Brown, Jason; Erey, Aysel On the roots of \(\sigma\)-polynomials. (English) Zbl 1339.05113 J. Graph Theory 82, No. 1, 90-102 (2016). MSC: 05C15 05C31 PDF BibTeX XML Cite \textit{J. Brown} and \textit{A. Erey}, J. Graph Theory 82, No. 1, 90--102 (2016; Zbl 1339.05113) Full Text: DOI
Brimkov, Boris; Hicks, Illya V. Chromatic and flow polynomials of generalized vertex join graphs and outerplanar graphs. (English) Zbl 1333.05102 Discrete Appl. Math. 204, 13-21 (2016). MSC: 05C15 05C31 05C10 05C05 05C69 PDF BibTeX XML Cite \textit{B. Brimkov} and \textit{I. V. Hicks}, Discrete Appl. Math. 204, 13--21 (2016; Zbl 1333.05102) Full Text: DOI arXiv
Guo, Jin; Wu, Tongsuo Graph properties and stratified presentations of partially ordered sets. (English) Zbl 1332.05118 Algebra Colloq. 23, No. 1, 51-63 (2016). MSC: 05C75 05C69 05C85 06A07 13A15 13E15 13F20 PDF BibTeX XML Cite \textit{J. Guo} and \textit{T. Wu}, Algebra Colloq. 23, No. 1, 51--63 (2016; Zbl 1332.05118) Full Text: DOI
Hertz, Alain; Mélot, Hadrien Counting the number of non-equivalent vertex colorings of a graph. (English) Zbl 1332.05055 Discrete Appl. Math. 203, 62-71 (2016). MSC: 05C15 05C31 05C35 11B73 PDF BibTeX XML Cite \textit{A. Hertz} and \textit{H. Mélot}, Discrete Appl. Math. 203, 62--71 (2016; Zbl 1332.05055) Full Text: DOI
Fadnavis, Sukhada A note on the shameful conjecture. (English) Zbl 1401.05151 Eur. J. Comb. 47, 115-122 (2015). MSC: 05C31 05C15 PDF BibTeX XML Cite \textit{S. Fadnavis}, Eur. J. Comb. 47, 115--122 (2015; Zbl 1401.05151) Full Text: DOI
Hao, Cuiju; Zhang, Bingru Proof of adjoint factorizations and chromatic equivalence of graphs \(\rho_n^{G(i)}\bigcup G\) etc. (Chinese. English summary) Zbl 1349.05105 Math. Pract. Theory 45, No. 7, 223-230 (2015). MSC: 05C15 05C31 05C70 05C38 PDF BibTeX XML Cite \textit{C. Hao} and \textit{B. Zhang}, Math. Pract. Theory 45, No. 7, 223--230 (2015; Zbl 1349.05105)
Sazdanović, Radmila; Yip, Martha A categorification of the chromatic symmetric polynomial. (English. French summary) Zbl 1335.05186 Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6–10, 2015. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 631-642 (2015). MSC: 05E05 05C31 05C15 PDF BibTeX XML Cite \textit{R. Sazdanović} and \textit{M. Yip}, in: Proceedings of the 27th international conference on formal power series and algebraic combinatorics, FPSAC 2015, Daejeon, South Korea, July 6--10, 2015. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 631--642 (2015; Zbl 1335.05186) Full Text: Link
Kishore, Anjaly; Sunitha, M. S. On injective chromatic polynomials of graphs. (English) Zbl 1325.05082 Discrete Math. Algorithms Appl. 7, No. 3, Article ID 1550035, 7 p. (2015). MSC: 05C15 05C31 05C76 05C35 PDF BibTeX XML Cite \textit{A. Kishore} and \textit{M. S. Sunitha}, Discrete Math. Algorithms Appl. 7, No. 3, Article ID 1550035, 7 p. (2015; Zbl 1325.05082) 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
Beck, Matthias; Meza, Erika; Nevarez, Bryan; Shine, Alana; Young, Michael The chromatic polynomials of signed Petersen graphs. (English) Zbl 1322.05073 Involve 8, No. 5, 825-831 (2015). MSC: 05C31 05C22 05A15 05C15 PDF BibTeX XML Cite \textit{M. Beck} et al., Involve 8, No. 5, 825--831 (2015; Zbl 1322.05073) Full Text: DOI arXiv