Chudnovsky, Maria; Norin, Sergey; Seymour, Paul D.; Turcotte, Jérémie Cops and robbers on \(P_5\)-free graphs. (English) Zbl 07818427 SIAM J. Discrete Math. 38, No. 1, 845-856 (2024). MSC: 05C57 91A43 91A24 PDFBibTeX XMLCite \textit{M. Chudnovsky} et al., SIAM J. Discrete Math. 38, No. 1, 845--856 (2024; Zbl 07818427) Full Text: DOI arXiv
Pierron, Théo A Brooks-like result for graph powers. (English) Zbl 07793119 Eur. J. Comb. 117, Article ID 103822, 8 p. (2024). MSC: 05C15 PDFBibTeX XMLCite \textit{T. Pierron}, Eur. J. Comb. 117, Article ID 103822, 8 p. (2024; Zbl 07793119) Full Text: DOI arXiv
Cioabă, Sebastian M.; Dewar, Sean; Grasegger, Georg; Gu, Xiaofeng Graph rigidity properties of Ramanujan graphs. (English) Zbl 1519.05151 Electron. J. Comb. 30, No. 3, Research Paper P3.12, 24 p. (2023). MSC: 05C50 05C40 52C25 15A18 PDFBibTeX XMLCite \textit{S. M. Cioabă} et al., Electron. J. Comb. 30, No. 3, Research Paper P3.12, 24 p. (2023; Zbl 1519.05151) Full Text: DOI arXiv
He, Wei; Zhou, Yue On abelian Cayley graphs of diameter two and defect one. (English) Zbl 1518.05081 J. Algebr. Comb. 58, No. 1, 137-156 (2023). MSC: 05C25 05C12 PDFBibTeX XMLCite \textit{W. He} and \textit{Y. Zhou}, J. Algebr. Comb. 58, No. 1, 137--156 (2023; Zbl 1518.05081) Full Text: DOI
Chalopin, Jérémie; Chepoi, Victor; Giocanti, Ugo Graphs with convex balls. (English) Zbl 1519.05063 Geom. Dedicata 217, No. 4, Paper No. 67, 52 p. (2023). MSC: 05C12 20F10 20F67 51K05 PDFBibTeX XMLCite \textit{J. Chalopin} et al., Geom. Dedicata 217, No. 4, Paper No. 67, 52 p. (2023; Zbl 1519.05063) Full Text: DOI arXiv
Podestá, Ricardo A.; Videla, Denis E. On regular graphs equienergetic with their complements. (English) Zbl 1517.05109 Linear Multilinear Algebra 71, No. 3, 422-456 (2023). Reviewer: Hirotake Kurihara (Yamaguchi) MSC: 05C50 05C25 05C75 05C92 05E30 PDFBibTeX XMLCite \textit{R. A. Podestá} and \textit{D. E. Videla}, Linear Multilinear Algebra 71, No. 3, 422--456 (2023; Zbl 1517.05109) Full Text: DOI arXiv
Zhang, Yuke; Lin, Huiqiu Graphs with three distinct distance eigenvalues. (English) Zbl 1511.05161 Appl. Math. Comput. 445, Article ID 127848, 9 p. (2023). MSC: 05C50 15A18 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Lin}, Appl. Math. Comput. 445, Article ID 127848, 9 p. (2023; Zbl 1511.05161) Full Text: DOI arXiv
Ishii, Toshimasa; Kawamura, Akitoshi; Kobayashi, Yusuke; Makino, Kazuhisa Trade-offs among degree, diameter, and number of paths. (English) Zbl 1506.05049 Discrete Appl. Math. 327, 96-100 (2023). MSC: 05C07 05C12 05C35 05C40 90C35 90C27 PDFBibTeX XMLCite \textit{T. Ishii} et al., Discrete Appl. Math. 327, 96--100 (2023; Zbl 1506.05049) Full Text: DOI
Kim, Jaehoon; Kostochka, Alexandr V.; O, Suil; Shi, Yongtang; Wang, Zhiwen A sharp lower bound for the spectral radius in \(K_4\)-saturated graphs. (English) Zbl 1504.05171 Discrete Math. 346, No. 2, Article ID 113231, 5 p. (2023). MSC: 05C50 PDFBibTeX XMLCite \textit{J. Kim} et al., Discrete Math. 346, No. 2, Article ID 113231, 5 p. (2023; Zbl 1504.05171) Full Text: DOI
Cornelsen, Sabine; Pfister, Maximilian; Förster, Henry; Gronemann, Martin; Hoffmann, Michael; Kobourov, Stephen; Schneck, Thomas Drawing shortest paths in geodetic graphs. (English) Zbl 1498.05145 J. Graph Algorithms Appl. 26, No. 3, 353-361 (2022). MSC: 05C38 05C35 68R10 PDFBibTeX XMLCite \textit{S. Cornelsen} et al., J. Graph Algorithms Appl. 26, No. 3, 353--361 (2022; Zbl 1498.05145) Full Text: DOI
Chen, Ye; Fan, Suohai; Lai, Hong-Jian; Xu, Murong Graph \(r\)-hued colorings – a survey. (English) Zbl 1497.05073 Discrete Appl. Math. 321, 24-48 (2022). MSC: 05C15 05-02 05C12 PDFBibTeX XMLCite \textit{Y. Chen} et al., Discrete Appl. Math. 321, 24--48 (2022; Zbl 1497.05073) Full Text: DOI
Martin, Barnaby; Paulusma, Daniël; Smith, Siani Colouring generalized claw-free graphs and graphs of large girth: bounding the diameter. (English) Zbl 07579639 Theor. Comput. Sci. 931, 104-116 (2022). MSC: 68Qxx PDFBibTeX XMLCite \textit{B. Martin} et al., Theor. Comput. Sci. 931, 104--116 (2022; Zbl 07579639) Full Text: DOI arXiv
Li, Cai Heng; Xia, Binzhou Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups. (English) Zbl 1515.20014 Memoirs of the American Mathematical Society 1375. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5383-1/pbk; 978-1-4704-7229-0/ebook). iv, 99 p. (2022). Reviewer: Egle Bettio (Venezia) MSC: 20-02 20D40 20D06 20D08 05E18 05C25 PDFBibTeX XMLCite \textit{C. H. Li} and \textit{B. Xia}, Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups. Providence, RI: American Mathematical Society (AMS) (2022; Zbl 1515.20014) Full Text: DOI arXiv
Tuite, James; Erskine, Grahame On networks with order close to the Moore bound. (English) Zbl 1495.05079 Graphs Comb. 38, No. 5, Paper No. 143, 34 p. (2022). MSC: 05C12 05C07 05C35 05C20 90C35 PDFBibTeX XMLCite \textit{J. Tuite} and \textit{G. Erskine}, Graphs Comb. 38, No. 5, Paper No. 143, 34 p. (2022; Zbl 1495.05079) Full Text: DOI arXiv
Abreu, Marién; Funk, Martin; Krčadinac, Vedran; Labbate, Domenico Strongly regular configurations. (English) Zbl 1498.05045 Des. Codes Cryptography 90, No. 8, 1881-1897 (2022). Reviewer: Dean Crnković (Rijeka) MSC: 05B30 05E30 PDFBibTeX XMLCite \textit{M. Abreu} et al., Des. Codes Cryptography 90, No. 8, 1881--1897 (2022; Zbl 1498.05045) Full Text: DOI arXiv
Tsiovkina, Ludmila Yu. Covers of complete graphs and related association schemes. (English) Zbl 1507.05110 J. Comb. Theory, Ser. A 191, Article ID 105646, 33 p. (2022). MSC: 05E30 05C12 20B30 20D60 PDFBibTeX XMLCite \textit{L. Yu. Tsiovkina}, J. Comb. Theory, Ser. A 191, Article ID 105646, 33 p. (2022; Zbl 1507.05110) Full Text: DOI
Quang Lôc, Nguyên; Công Minh, Nguyên; Thi Thuy, Phan Extremal Betti numbers of symbolic powers of two-dimensional squarefree monomial ideals. (English) Zbl 1490.13032 Int. J. Algebra Comput. 32, No. 5, 1043-1069 (2022). Reviewer: Jorge Neves (Coimbra) MSC: 13H10 13C14 05E40 05E45 PDFBibTeX XMLCite \textit{N. Quang Lôc} et al., Int. J. Algebra Comput. 32, No. 5, 1043--1069 (2022; Zbl 1490.13032) Full Text: DOI
Cioabă, Sebastian M.; Koolen, Jack H.; Mimura, Masato; Nozaki, Hiroshi; Okuda, Takayuki On the spectrum and linear programming bound for hypergraphs. (English) Zbl 1490.05193 Eur. J. Comb. 104, Article ID 103535, 22 p. (2022). MSC: 05C65 05C48 90C05 PDFBibTeX XMLCite \textit{S. M. Cioabă} et al., Eur. J. Comb. 104, Article ID 103535, 22 p. (2022; Zbl 1490.05193) Full Text: DOI arXiv
Martin, Barnaby; Paulusma, Daniël; Smith, Siani Colouring graphs of bounded diameter in the absence of small cycles. (English) Zbl 1489.05056 Discrete Appl. Math. 314, 150-161 (2022). MSC: 05C15 68Q25 PDFBibTeX XMLCite \textit{B. Martin} et al., Discrete Appl. Math. 314, 150--161 (2022; Zbl 1489.05056) Full Text: DOI arXiv
Hadzilacos, Vassos; Hu, Xing; Toueg, Sam On atomic registers and randomized consensus in m&m systems. (English) Zbl 1483.68029 Distrib. Comput. 35, No. 1, 81-103 (2022). MSC: 68M14 68Q10 PDFBibTeX XMLCite \textit{V. Hadzilacos} et al., Distrib. Comput. 35, No. 1, 81--103 (2022; Zbl 1483.68029) Full Text: DOI arXiv
Greaves, Gary R. W.; Iverson, Joseph W.; Jasper, John; Mixon, Dustin G. Frames over finite fields: equiangular lines in orthogonal geometry. (English) Zbl 1490.51009 Linear Algebra Appl. 639, 50-80 (2022). Reviewer: Norbert Knarr (Stuttgart) MSC: 51E99 05E30 42C15 52C35 51F25 PDFBibTeX XMLCite \textit{G. R. W. Greaves} et al., Linear Algebra Appl. 639, 50--80 (2022; Zbl 1490.51009) Full Text: DOI arXiv
Martin, Barnaby; Paulusma, Daniël; Smith, Siani Colouring graphs of bounded diameter in the absence of small cycles. (English) Zbl 07667143 Calamoneri, Tiziana (ed.) et al., Algorithms and complexity. 12th international conference, CIAC 2021, virtual event, May 10–12, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12701, 367-380 (2021). MSC: 68Wxx PDFBibTeX XMLCite \textit{B. Martin} et al., Lect. Notes Comput. Sci. 12701, 367--380 (2021; Zbl 07667143) Full Text: DOI
He, Wei On the non-existence of abelian Moore Cayley graphs with excess one. (English) Zbl 1513.05189 DML, Discrete Math. Lett. 7, 58-65 (2021). MSC: 05C25 05C35 05E05 PDFBibTeX XMLCite \textit{W. He}, DML, Discrete Math. Lett. 7, 58--65 (2021; Zbl 1513.05189) Full Text: DOI
Shikhi, M. Common neighbor polynomial of some dendrimer structures. (English) Zbl 1499.05322 Adv. Appl. Discrete Math. 28, No. 1, 13-24 (2021). MSC: 05C31 05C09 05C12 05C92 92E10 PDFBibTeX XMLCite \textit{M. Shikhi}, Adv. Appl. Discrete Math. 28, No. 1, 13--24 (2021; Zbl 1499.05322) Full Text: DOI
Tsiovkina, Ludmila Yu. On a class of edge-transitive distance-regular antipodal covers of complete graphs. (English) Zbl 1486.05321 Ural Math. J. 7, No. 2, 136-158 (2021). MSC: 05E18 05C12 05C25 20B25 PDFBibTeX XMLCite \textit{L. Yu. Tsiovkina}, Ural Math. J. 7, No. 2, 136--158 (2021; Zbl 1486.05321) Full Text: DOI MNR
Jánoš, Pavol; Mesežnikov, Dávid An upper bound on the order of graphs of diameter two arising as abelian lifts of multigraphs. (English) Zbl 1482.05085 Australas. J. Comb. 81, Part 3, 357-366 (2021). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{P. Jánoš} and \textit{D. Mesežnikov}, Australas. J. Comb. 81, Part 3, 357--366 (2021; Zbl 1482.05085) Full Text: Link
Gavrilyuk, Alexander L.; Hirasaka, Mitsugu; Kabanov, Vladislav A note on Moore Cayley digraphs. (English) Zbl 1479.05202 Graphs Comb. 37, No. 5, 1509-1520 (2021). MSC: 05C50 05C25 05C20 20B25 20C15 PDFBibTeX XMLCite \textit{A. L. Gavrilyuk} et al., Graphs Comb. 37, No. 5, 1509--1520 (2021; Zbl 1479.05202) Full Text: DOI
Giudici, Michael; King, Carlisle S. H. On edge-primitive 3-arc-transitive graphs. (English) Zbl 07396138 J. Comb. Theory, Ser. B 151, 282-306 (2021). MSC: 20Bxx 20Dxx 05Cxx PDFBibTeX XMLCite \textit{M. Giudici} and \textit{C. S. H. King}, J. Comb. Theory, Ser. B 151, 282--306 (2021; Zbl 07396138) Full Text: DOI arXiv
Erskine, Grahame; Fratrič, Peter; Širáň, Jozef Graphs derived from perfect difference sets. (English) Zbl 1468.05246 Australas. J. Comb. 80, Part 1, 48-56 (2021). MSC: 05C75 05C12 05B10 PDFBibTeX XMLCite \textit{G. Erskine} et al., Australas. J. Comb. 80, Part 1, 48--56 (2021; Zbl 1468.05246) Full Text: arXiv Link
Balasubramanian, A. R. Parameterized verification of coverability in infinite state broadcast networks. (English) Zbl 1497.68285 Inf. Comput. 278, Article ID 104592, 13 p. (2021). MSC: 68Q60 68M10 68Q85 PDFBibTeX XMLCite \textit{A. R. Balasubramanian}, Inf. Comput. 278, Article ID 104592, 13 p. (2021; Zbl 1497.68285) Full Text: DOI
Abajo, E.; Bendala, M. Regular graphs of girth 5 from elliptic semiplanes of type \(C\). (English) Zbl 1462.05191 Discrete Math. 344, No. 6, Article ID 112343, 9 p. (2021). MSC: 05C35 51E05 PDFBibTeX XMLCite \textit{E. Abajo} and \textit{M. Bendala}, Discrete Math. 344, No. 6, Article ID 112343, 9 p. (2021; Zbl 1462.05191) Full Text: DOI
Filipovski, Slobodan A lower bound for the discriminant of polynomials related to Chebyshev polynomials. (English) Zbl 1472.05158 Discrete Math. 344, No. 3, Article ID 112235, 6 p. (2021). Reviewer: Eduardo Camps (Ciudad de México) MSC: 05E30 05C12 05C07 33C45 42C05 PDFBibTeX XMLCite \textit{S. Filipovski}, Discrete Math. 344, No. 3, Article ID 112235, 6 p. (2021; Zbl 1472.05158) Full Text: DOI
Cornelsen, Sabine; Pfister, Maximilian; Förster, Henry; Gronemann, Martin; Hoffmann, Michael; Kobourov, Stephen; Schneck, Thomas Drawing shortest paths in geodetic graphs. (English) Zbl 07436628 Auber, David (ed.) et al., Graph drawing and network visualization. 28th international symposium, GD 2020, Vancouver, BC, Canada, September 16–18, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12590, 333-340 (2020). MSC: 68R10 68U05 PDFBibTeX XMLCite \textit{S. Cornelsen} et al., Lect. Notes Comput. Sci. 12590, 333--340 (2020; Zbl 07436628) Full Text: DOI arXiv
Bonini, Vincent; Carroll, Conor; Dinh, Uyen; Dye, Sydney; Frederick, Joshua; Pearse, Erin Condensed Ricci curvature of complete and strongly regular graphs. (English) Zbl 1467.05277 Involve 13, No. 4, 559-576 (2020). MSC: 05E30 53B99 05C10 05C81 PDFBibTeX XMLCite \textit{V. Bonini} et al., Involve 13, No. 4, 559--576 (2020; Zbl 1467.05277) Full Text: DOI arXiv
Shimizu, Nobutaka The average distance and the diameter of dense random regular graphs. (English) Zbl 1448.05182 Electron. J. Comb. 27, No. 3, Research Paper P3.62, 20 p. (2020). MSC: 05C80 05C12 PDFBibTeX XMLCite \textit{N. Shimizu}, Electron. J. Comb. 27, No. 3, Research Paper P3.62, 20 p. (2020; Zbl 1448.05182) Full Text: DOI
Renteln, Paul Some constraints on the missing Moore graph. (English) Zbl 1444.05093 Australas. J. Comb. 77, Part 3, 373-382 (2020). MSC: 05C50 05B20 PDFBibTeX XMLCite \textit{P. Renteln}, Australas. J. Comb. 77, Part 3, 373--382 (2020; Zbl 1444.05093) Full Text: Link
Devillers, Alice; Fawcett, Joanna B.; Praeger, Cheryl E.; Zhou, Jin-Xin On \(k\)-connected-homogeneous graphs. (English) Zbl 1435.05121 J. Comb. Theory, Ser. A 173, Article ID 105234, 45 p. (2020). MSC: 05C40 05E30 PDFBibTeX XMLCite \textit{A. Devillers} et al., J. Comb. Theory, Ser. A 173, Article ID 105234, 45 p. (2020; Zbl 1435.05121) Full Text: DOI arXiv
Leung, Ka Hin; Zhou, Yue No lattice tiling of \(\mathbb{Z}^n\) by Lee sphere of radius 2. (English) Zbl 1433.05148 J. Comb. Theory, Ser. A 171, Article ID 105157, 20 p. (2020). MSC: 05C25 94B05 05B45 PDFBibTeX XMLCite \textit{K. H. Leung} and \textit{Y. Zhou}, J. Comb. Theory, Ser. A 171, Article ID 105157, 20 p. (2020; Zbl 1433.05148) Full Text: DOI arXiv
Dinitz, Michael; Schapira, Michael; Shahaf, Gal Approximate Moore graphs are good expanders. (English) Zbl 1430.05027 J. Comb. Theory, Ser. B 141, 240-263 (2020). MSC: 05C12 05C48 PDFBibTeX XMLCite \textit{M. Dinitz} et al., J. Comb. Theory, Ser. B 141, 240--263 (2020; Zbl 1430.05027) Full Text: DOI arXiv
Martin, Barnaby; Paulusma, Daniël; Smith, Siani Colouring \(H\)-free graphs of bounded diameter. (English) Zbl 07561658 Rossmanith, Peter (ed.) et al., 44th international symposium on mathematical foundations of computer science, MFCS 2019, Aachen, Germany, August 26–30, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 138, Article 14, 14 p. (2019). MSC: 68Qxx PDFBibTeX XMLCite \textit{B. Martin} et al., LIPIcs -- Leibniz Int. Proc. Inform. 138, Article 14, 14 p. (2019; Zbl 07561658) Full Text: DOI
Zhao, Shuang; Meng, Jixiang On the conditional edge connectivity of double-orbit graphs. (English) Zbl 1499.05338 Filomat 33, No. 18, 5935-5948 (2019). MSC: 05C40 PDFBibTeX XMLCite \textit{S. Zhao} and \textit{J. Meng}, Filomat 33, No. 18, 5935--5948 (2019; Zbl 1499.05338) Full Text: DOI
Cappelle, Márcia R.; Coelho, Erika M. M.; Coelho, Hebert; Silva, Braully R.; Protti, Fábio; Souza, Uéverton S. \(P_3\)-hull number of graphs with diameter two. (English) Zbl 07515190 Coutinho, Gabriel (ed.) et al., Proceedings of LAGOS 2019, the tenth Latin and American algorithms, graphs and optimization symposium, Belo Horizonte, Brazil, June 2–7 2019. Amsterdam: Elsevier. Electron. Notes Theor. Comput. Sci. 346, 309-320 (2019). MSC: 05Cxx 90Cxx PDFBibTeX XMLCite \textit{M. R. Cappelle} et al., Electron. Notes Theor. Comput. Sci. 346, 309--320 (2019; Zbl 07515190) Full Text: DOI
Tuite, James On diregular digraphs with degree two and excess three. (English) Zbl 1464.05168 Discrete Appl. Math. 266, 331-339 (2019). MSC: 05C20 05C07 05C12 05C35 PDFBibTeX XMLCite \textit{J. Tuite}, Discrete Appl. Math. 266, 331--339 (2019; Zbl 1464.05168) Full Text: DOI arXiv
Simonovits, Miklós; Szemerédi, Endre Embedding graphs into larger graphs: results, methods, and problems. (English) Zbl 1443.05100 Bárány, Imre (ed.) et al., Building bridges II. Mathematics of László Lovász. Conference in celebration of László Lovász’ 70th birthday, Budapest, Hungary, July 2–6, 2018. Berlin: Springer. Bolyai Soc. Math. Stud. 28, 445-592 (2019). MSC: 05C35 05D10 05D40 05C45 05C65 05C80 05C60 PDFBibTeX XMLCite \textit{M. Simonovits} and \textit{E. Szemerédi}, Bolyai Soc. Math. Stud. 28, 445--592 (2019; Zbl 1443.05100) Full Text: DOI arXiv Backlinks: MO
Koolen, Jack H.; Rehman, Masood Ur; Yang, Qianqian On the integrability of strongly regular graphs. (English) Zbl 1431.05152 Graphs Comb. 35, No. 6, 1273-1291 (2019). MSC: 05E30 05C50 05C40 05C12 11H99 PDFBibTeX XMLCite \textit{J. H. Koolen} et al., Graphs Comb. 35, No. 6, 1273--1291 (2019; Zbl 1431.05152) Full Text: DOI arXiv
Tuite, James; Erskine, Grahame On total regularity of mixed graphs with order close to the Moore bound. (English) Zbl 1440.05130 Graphs Comb. 35, No. 6, 1253-1272 (2019). MSC: 05C35 05C12 05C10 PDFBibTeX XMLCite \textit{J. Tuite} and \textit{G. Erskine}, Graphs Comb. 35, No. 6, 1253--1272 (2019; Zbl 1440.05130) Full Text: DOI arXiv
Cervantes-Ojeda, J.; Gómez-Fuentes, M.; González-Moreno, D.; Olsen, M. Rainbow connectivity using a rank genetic algorithm: Moore cages with girth six. (English) Zbl 1442.05113 J. Appl. Math. 2019, Article ID 4073905, 7 p. (2019). MSC: 05C40 05C15 05C35 05C85 PDFBibTeX XMLCite \textit{J. Cervantes-Ojeda} et al., J. Appl. Math. 2019, Article ID 4073905, 7 p. (2019; Zbl 1442.05113) Full Text: DOI
Dalfó, C.; Fiol, M. A.; Miller, M.; Ryan, J.; Širáň, J. An algebraic approach to lifts of digraphs. (English) Zbl 1421.05048 Discrete Appl. Math. 269, 68-76 (2019). MSC: 05C20 05C50 PDFBibTeX XMLCite \textit{C. Dalfó} et al., Discrete Appl. Math. 269, 68--76 (2019; Zbl 1421.05048) Full Text: DOI arXiv
Dailly, Antoine; Foucaud, Florent; Hansberg, Adriana Strengthening the Murty-Simon conjecture on diameter 2 critical graphs. (English) Zbl 1419.05059 Discrete Math. 342, No. 11, 3142-3159 (2019). MSC: 05C12 PDFBibTeX XMLCite \textit{A. Dailly} et al., Discrete Math. 342, No. 11, 3142--3159 (2019; Zbl 1419.05059) Full Text: DOI arXiv
Abajo, E.; Balbuena, C.; Bendala, M.; Marcote, X. Improving bounds on the order of regular graphs of girth 5. (English) Zbl 1417.05102 Discrete Math. 342, No. 10, 2900-2910 (2019). MSC: 05C35 PDFBibTeX XMLCite \textit{E. Abajo} et al., Discrete Math. 342, No. 10, 2900--2910 (2019; Zbl 1417.05102) Full Text: DOI Link
Qin, Yan-Li; Zhou, Jin-Xin Cubic edge-transitive bi-Cayley graphs over inner-abelian \(p\)-groups. (English) Zbl 1503.05059 Commun. Algebra 47, No. 5, 1973-1984 (2019). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{Y.-L. Qin} and \textit{J.-X. Zhou}, Commun. Algebra 47, No. 5, 1973--1984 (2019; Zbl 1503.05059) Full Text: DOI arXiv
Jurišić, A.; Vidali, J. The Sylvester graph and Moore graphs. (English) Zbl 1415.05173 Eur. J. Comb. 80, 184-193 (2019). MSC: 05C99 PDFBibTeX XMLCite \textit{A. Jurišić} and \textit{J. Vidali}, Eur. J. Comb. 80, 184--193 (2019; Zbl 1415.05173) Full Text: DOI
Zhang, Tao; Zhou, Yue On the nonexistence of lattice tilings of \(\mathbb{Z}^n\) by Lee spheres. (English) Zbl 1414.05073 J. Comb. Theory, Ser. A 165, 225-257 (2019). MSC: 05B45 05C25 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. Zhou}, J. Comb. Theory, Ser. A 165, 225--257 (2019; Zbl 1414.05073) Full Text: DOI arXiv
Zhang, Tao; Ge, Gennian Improved lower bounds on the degree-diameter problem. (English) Zbl 1414.05105 J. Algebr. Comb. 49, No. 2, 135-146 (2019). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{G. Ge}, J. Algebr. Comb. 49, No. 2, 135--146 (2019; Zbl 1414.05105) Full Text: DOI
Nozaki, Hiroshi Largest regular multigraphs with three distinct eigenvalues. (English) Zbl 1414.05183 Discrete Math. 342, No. 7, 2134-2138 (2019). MSC: 05C50 05C40 PDFBibTeX XMLCite \textit{H. Nozaki}, Discrete Math. 342, No. 7, 2134--2138 (2019; Zbl 1414.05183) Full Text: DOI arXiv
Dalfó, C. A survey on the missing Moore graph. (English) Zbl 1411.05155 Linear Algebra Appl. 569, 1-14 (2019). MSC: 05C50 05C25 05C12 20B25 20C15 PDFBibTeX XMLCite \textit{C. Dalfó}, Linear Algebra Appl. 569, 1--14 (2019; Zbl 1411.05155) Full Text: DOI Link
Bachratý, Martin; Šiagiová, Jana; Širáň, Jozef Asymptotically approaching the Moore bound for diameter three by Cayley graphs. (English) Zbl 1402.05097 J. Comb. Theory, Ser. B 134, 203-217 (2019). MSC: 05C25 05C12 PDFBibTeX XMLCite \textit{M. Bachratý} et al., J. Comb. Theory, Ser. B 134, 203--217 (2019; Zbl 1402.05097) Full Text: DOI arXiv Link
Huang, Ziwen; Xi, Xiaozhong; Yuan, Shaoliang Some further results on the eccentric distance sum. (English) Zbl 1397.05048 J. Math. Anal. Appl. 470, No. 1, 145-158 (2019). MSC: 05C12 05C40 PDFBibTeX XMLCite \textit{Z. Huang} et al., J. Math. Anal. Appl. 470, No. 1, 145--158 (2019; Zbl 1397.05048) Full Text: DOI
Balasubramanian, A. R. Parameterized verification of coverability in well-structured broadcast networks. (English) Zbl 1528.68207 Orlandini, Andrea (ed.) et al., Proceedings of the ninth international symposium on games, automata, logics, and formal verification, GandALF 2018, Saarbrücken, Germany, September 26–28, 2018. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 277, 133-146 (2018). MSC: 68Q60 68M10 68Q85 PDFBibTeX XMLCite \textit{A. R. Balasubramanian}, Electron. Proc. Theor. Comput. Sci. (EPTCS) 277, 133--146 (2018; Zbl 1528.68207) Full Text: arXiv Link
Dinitz, Michael; Schapira, Michael; Shahaf, Gal Large low-diameter graphs are good expanders. (English) Zbl 1482.05084 Azar, Yossi (ed.) et al., 26th annual European symposium on algorithms, ESA 2018, August 20–22, 2018, Helsinki, Finland. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 112, Article 71, 15 p. (2018). MSC: 05C12 05C48 05C50 68R10 PDFBibTeX XMLCite \textit{M. Dinitz} et al., LIPIcs -- Leibniz Int. Proc. Inform. 112, Article 71, 15 p. (2018; Zbl 1482.05084) Full Text: DOI
Wu, Yueyu; Chen, Yaojun On the extremal eccentric connectivity index of graphs. (English) Zbl 1427.05117 Appl. Math. Comput. 331, 61-68 (2018). MSC: 05C35 05C40 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Y. Chen}, Appl. Math. Comput. 331, 61--68 (2018; Zbl 1427.05117) Full Text: DOI
Bailey, R. A.; Cameron, Peter J.; Nilson, Tomas Sesqui-arrays, a generalisation of triple arrays. (English) Zbl 1404.05014 Australas. J. Comb. 71, Part 3, 427-451 (2018). MSC: 05B07 PDFBibTeX XMLCite \textit{R. A. Bailey} et al., Australas. J. Comb. 71, Part 3, 427--451 (2018; Zbl 1404.05014) Full Text: arXiv Link
Gyárfás, András; Hartke, Stephen G.; Viss, Charles Uniquely \(K_r^{(k)}\)-saturated hypergraphs. (English) Zbl 1402.05157 Electron. J. Comb. 25, No. 4, Research Paper P4.35, 15 p. (2018). MSC: 05C65 05D15 05D05 05B05 PDFBibTeX XMLCite \textit{A. Gyárfás} et al., Electron. J. Comb. 25, No. 4, Research Paper P4.35, 15 p. (2018; Zbl 1402.05157) Full Text: arXiv Link
Abajo, E.; Balbuena, C.; Bendala, M. Elliptic semiplanes and regular graphs with girth 5. (English) Zbl 1397.05085 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, 245-250 (2018). MSC: 05C35 PDFBibTeX XMLCite \textit{E. Abajo} et al., Electron. Notes Discrete Math. 68, 245--250 (2018; Zbl 1397.05085) Full Text: DOI
Henning, Michael A.; Klostermeyer, William F. Packing in regular graphs. (English) Zbl 1395.05132 Quaest. Math. 41, No. 5, 693-706 (2018). MSC: 05C70 05C35 05C40 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{W. F. Klostermeyer}, Quaest. Math. 41, No. 5, 693--706 (2018; Zbl 1395.05132) Full Text: DOI
Qiao, Pu; Zhan, Xingzhi The maximum girth and minimum circumference of graphs with prescribed radius and diameter. (English) Zbl 1393.05100 Discrete Math. 341, No. 10, 2827-2830 (2018). MSC: 05C12 05C35 PDFBibTeX XMLCite \textit{P. Qiao} and \textit{X. Zhan}, Discrete Math. 341, No. 10, 2827--2830 (2018; Zbl 1393.05100) Full Text: DOI
Bamberg, John; Bishnoi, Anurag; Royle, Gordon F. On regular induced subgraphs of generalized polygons. (English) Zbl 1391.05066 J. Comb. Theory, Ser. A 158, 254-275 (2018). MSC: 05B25 51M20 51E20 51E21 PDFBibTeX XMLCite \textit{J. Bamberg} et al., J. Comb. Theory, Ser. A 158, 254--275 (2018; Zbl 1391.05066) Full Text: DOI arXiv
Jajcay, Robert; Kiss, György; Miklavič, Štefko Edge-girth-regular graphs. (English) Zbl 1390.05229 Eur. J. Comb. 72, 70-82 (2018). MSC: 05C99 PDFBibTeX XMLCite \textit{R. Jajcay} et al., Eur. J. Comb. 72, 70--82 (2018; Zbl 1390.05229) Full Text: DOI
Cyman, Joanna; Dettlaff, Magda; Henning, Michael A.; Lemańska, Magdalena; Raczek, Joanna Total domination versus paired-domination in regular graphs. (English) Zbl 1383.05232 Discuss. Math., Graph Theory 38, No. 2, 573-586 (2018). MSC: 05C69 PDFBibTeX XMLCite \textit{J. Cyman} et al., Discuss. Math., Graph Theory 38, No. 2, 573--586 (2018; Zbl 1383.05232) Full Text: DOI
Zhou, Jin-Xin; Zhang, Mi-Mi On weakly symmetric graphs of order twice a prime square. (English) Zbl 1377.05084 J. Comb. Theory, Ser. A 155, 458-475 (2018). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{J.-X. Zhou} and \textit{M.-M. Zhang}, J. Comb. Theory, Ser. A 155, 458--475 (2018; Zbl 1377.05084) Full Text: DOI
Klin, Mikhail H.; Woldar, Andrew J. The strongly regular graph with parameters \((100,22,0,6)\): hidden history and beyond. (English) Zbl 1430.05137 Acta Univ. M. Belii, Ser. Math. 25, 5-62 (2017). Reviewer: Michael Barany (Edinburgh) MSC: 05E30 05C51 05B05 05B07 05-03 01A60 PDFBibTeX XMLCite \textit{M. H. Klin} and \textit{A. J. Woldar}, Acta Univ. M. Belii, Ser. Math. 25, 5--62 (2017; Zbl 1430.05137) Full Text: Link
Bong, Novi H. Some new upper bounds of \(\operatorname{ex}(n;\{C_3,C_4\})\). (English) Zbl 1375.05145 AKCE Int. J. Graphs Comb. 14, No. 3, 251-260 (2017). MSC: 05C35 05C60 PDFBibTeX XMLCite \textit{N. H. Bong}, AKCE Int. J. Graphs Comb. 14, No. 3, 251--260 (2017; Zbl 1375.05145) Full Text: DOI
Pott, Alexander; Zhou, Yue Cayley graphs of diameter 2 from difference sets. (English) Zbl 1371.05125 J. Graph Theory 85, No. 2, 533-544 (2017). Reviewer: Joy Morris (Lethbridge) MSC: 05C25 05C12 05B10 PDFBibTeX XMLCite \textit{A. Pott} and \textit{Y. Zhou}, J. Graph Theory 85, No. 2, 533--544 (2017; Zbl 1371.05125) Full Text: DOI arXiv
Abajo, E.; Araujo-Pardo, G.; Balbuena, C.; Bendala, M. New small regular graphs of girth 5. (English) Zbl 1362.05064 Discrete Math. 340, No. 8, 1878-1888 (2017). MSC: 05C35 05C38 05C75 PDFBibTeX XMLCite \textit{E. Abajo} et al., Discrete Math. 340, No. 8, 1878--1888 (2017; Zbl 1362.05064) Full Text: DOI Link
Ducey, Joshua E. On the critical group of the missing Moore graph. (English) Zbl 1357.05078 Discrete Math. 340, No. 5, 1104-1109 (2017). MSC: 05C50 PDFBibTeX XMLCite \textit{J. E. Ducey}, Discrete Math. 340, No. 5, 1104--1109 (2017; Zbl 1357.05078) Full Text: DOI arXiv
Araujo-Pardo, G.; Balbuena, C.; Miller, M.; Ždímalová, M. A family of mixed graphs with large order and diameter 2. (English) Zbl 1352.05062 Discrete Appl. Math. 218, 57-63 (2017). MSC: 05C12 51A05 PDFBibTeX XMLCite \textit{G. Araujo-Pardo} et al., Discrete Appl. Math. 218, 57--63 (2017; Zbl 1352.05062) Full Text: DOI Link
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi; Vermette, Jason R. Maximizing the order of a regular graph of given valency and second eigenvalue. (English) Zbl 1344.05086 SIAM J. Discrete Math. 30, No. 3, 1509-1525 (2016). MSC: 05C50 05C35 68R10 90C05 90C35 PDFBibTeX XMLCite \textit{S. M. Cioabă} et al., SIAM J. Discrete Math. 30, No. 3, 1509--1525 (2016; Zbl 1344.05086) Full Text: DOI arXiv
Cranston, Daniel W.; Rabern, Landon Painting squares in \(\Delta^2-1\) shades. (English) Zbl 1339.05124 Electron. J. Comb. 23, No. 2, Research Paper P2.50, 30 p. (2016). MSC: 05C15 05C12 PDFBibTeX XMLCite \textit{D. W. Cranston} and \textit{L. Rabern}, Electron. J. Comb. 23, No. 2, Research Paper P2.50, 30 p. (2016; Zbl 1339.05124) Full Text: arXiv Link
Abas, Marcel Cayley graphs of diameter two with order greater than \(0.684\) of the Moore bound for any degree. (English) Zbl 1339.05175 Eur. J. Comb. 57, 109-120 (2016). MSC: 05C25 05C12 05C82 PDFBibTeX XMLCite \textit{M. Abas}, Eur. J. Comb. 57, 109--120 (2016; Zbl 1339.05175) Full Text: DOI arXiv
López, Nacho; Miret, Josep M. On mixed almost Moore graphs of diameter two. (English) Zbl 1335.05096 Electron. J. Comb. 23, No. 2, Research Paper P2.3, 14 p. (2016). MSC: 05C35 05C12 05C38 PDFBibTeX XMLCite \textit{N. López} and \textit{J. M. Miret}, Electron. J. Comb. 23, No. 2, Research Paper P2.3, 14 p. (2016; Zbl 1335.05096) Full Text: Link
Lin, Wensong On \((s,t)\)-relaxed \(L(2,1)\)-labeling of graphs. (English) Zbl 1360.90260 J. Comb. Optim. 31, No. 1, 405-426 (2016). MSC: 90C35 PDFBibTeX XMLCite \textit{W. Lin}, J. Comb. Optim. 31, No. 1, 405--426 (2016; Zbl 1360.90260) Full Text: DOI
Desormeaux, Wyatt J.; Henning, Michael A. Lower bounds on the total domination number of a graph. (English) Zbl 1331.05168 J. Comb. Optim. 31, No. 1, 52-66 (2016). MSC: 05C69 PDFBibTeX XMLCite \textit{W. J. Desormeaux} and \textit{M. A. Henning}, J. Comb. Optim. 31, No. 1, 52--66 (2016; Zbl 1331.05168) Full Text: DOI
López, Nacho; Miret, Josep M.; Fernández, Cèsar Non existence of some mixed Moore graphs of diameter 2 using SAT. (English) Zbl 1327.05093 Discrete Math. 339, No. 2, 589-596 (2016). MSC: 05C12 05E30 PDFBibTeX XMLCite \textit{N. López} et al., Discrete Math. 339, No. 2, 589--596 (2016; Zbl 1327.05093) Full Text: DOI
Gómez, José; Miller, Mirka On the existence of radial Moore graphs for every radius and every degree. (English) Zbl 1401.05095 Eur. J. Comb. 47, 15-22 (2015). MSC: 05C12 05C07 05C35 PDFBibTeX XMLCite \textit{J. Gómez} and \textit{M. Miller}, Eur. J. Comb. 47, 15--22 (2015; Zbl 1401.05095) Full Text: DOI
Nozaki, Hiroshi Linear programming bounds for regular graphs. (English) Zbl 1332.90160 Graphs Comb. 31, No. 6, 1973-1984 (2015). MSC: 90C05 05D05 PDFBibTeX XMLCite \textit{H. Nozaki}, Graphs Comb. 31, No. 6, 1973--1984 (2015; Zbl 1332.90160) Full Text: DOI arXiv
Azarija, Jernej; Klavžar, Sandi Moore graphs and cycles are extremal graphs for convex cycles. (English) Zbl 1328.05097 J. Graph Theory 80, No. 1, 34-42 (2015). Reviewer: Peter Horák (Tacoma) MSC: 05C35 05C75 05C12 PDFBibTeX XMLCite \textit{J. Azarija} and \textit{S. Klavžar}, J. Graph Theory 80, No. 1, 34--42 (2015; Zbl 1328.05097) Full Text: DOI arXiv
Chen, Xiaomin; Huzhang, Guangda; Miao, Peihan; Yang, Kuan Graph metric with no proper inclusion between lines. (English) Zbl 1311.05047 Discrete Appl. Math. 185, 59-70 (2015). MSC: 05C12 05C10 05C65 PDFBibTeX XMLCite \textit{X. Chen} et al., Discrete Appl. Math. 185, 59--70 (2015; Zbl 1311.05047) Full Text: DOI arXiv
López, Nacho; Pujolàs, Jordi Properties of mixed Moore graphs of directed degree one. (English) Zbl 1305.05239 Discrete Math. 338, No. 4, 522-526 (2015). MSC: 05E30 05C20 05C35 05C07 PDFBibTeX XMLCite \textit{N. López} and \textit{J. Pujolàs}, Discrete Math. 338, No. 4, 522--526 (2015; Zbl 1305.05239) Full Text: DOI
Garbe, Frederik On graphs with excess or defect 2. (English) Zbl 1303.05033 Discrete Appl. Math. 180, 81-88 (2015). MSC: 05C07 05C35 PDFBibTeX XMLCite \textit{F. Garbe}, Discrete Appl. Math. 180, 81--88 (2015; Zbl 1303.05033) Full Text: DOI
Bampas, Evangelos; Bilò, Davide; Drovandi, Guido; Gualà, Luciano; Klasing, Ralf; Proietti, Guido Network verification via routing table queries. (English) Zbl 1401.90052 J. Comput. Syst. Sci. 81, No. 1, 234-248 (2015). MSC: 90B10 68M15 68M10 68Q25 PDFBibTeX XMLCite \textit{E. Bampas} et al., J. Comput. Syst. Sci. 81, No. 1, 234--248 (2015; Zbl 1401.90052) Full Text: DOI
Knor, Martin Smallest regular graphs of given degree and diameter. (English) Zbl 1285.05101 Discuss. Math., Graph Theory 34, No. 1, 187-191 (2014). MSC: 05C35 05C12 05C07 PDFBibTeX XMLCite \textit{M. Knor}, Discuss. Math., Graph Theory 34, No. 1, 187--191 (2014; Zbl 1285.05101) Full Text: DOI
Knor, Martin; Širáň, Jozef Smallest vertex-transitive graphs of given degree and diameter. (English) Zbl 1280.05066 J. Graph Theory 75, No. 2, 137-149 (2014). MSC: 05C35 05C07 05C12 05C25 PDFBibTeX XMLCite \textit{M. Knor} and \textit{J. Širáň}, J. Graph Theory 75, No. 2, 137--149 (2014; Zbl 1280.05066) Full Text: DOI
Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A.; Yeo, Anders Total domination in graphs with diameter 2. (English) Zbl 1280.05098 J. Graph Theory 75, No. 1, 91-103 (2014). MSC: 05C69 05C12 PDFBibTeX XMLCite \textit{W. J. Desormeaux} et al., J. Graph Theory 75, No. 1, 91--103 (2014; Zbl 1280.05098) Full Text: DOI
Bondarenko, Andriy V.; Radchenko, Danylo V. On a family of strongly regular graphs with \(\lambda = 1\). (English) Zbl 1301.05372 J. Comb. Theory, Ser. B 103, No. 4, 521-531 (2013). MSC: 05E30 PDFBibTeX XMLCite \textit{A. V. Bondarenko} and \textit{D. V. Radchenko}, J. Comb. Theory, Ser. B 103, No. 4, 521--531 (2013; Zbl 1301.05372) Full Text: DOI arXiv
Zhang, Bo; Peng, Jin Connectedness strength of two vertices in an uncertain graph. (English) Zbl 1278.05195 Int. J. Comput. Math. 90, No. 2, 246-257 (2013). MSC: 05C72 68T37 05C40 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{J. Peng}, Int. J. Comput. Math. 90, No. 2, 246--257 (2013; Zbl 1278.05195) Full Text: DOI
Ball, Simeon; Bamberg, John; Devillers, Alice; Stokes, Klara An alternative way to generalize the pentagon. (English) Zbl 1273.05023 J. Comb. Des. 21, No. 3-4, 163-179 (2013). MSC: 05B25 51E12 05C12 05C38 PDFBibTeX XMLCite \textit{S. Ball} et al., J. Comb. Des. 21, No. 3--4, 163--179 (2013; Zbl 1273.05023) Full Text: DOI
Daneshkhah, Ashraf; Devillers, Alice A classification of graphs whose subdivision graph is locally distance transitive. (English) Zbl 1256.05096 Graphs Comb. 28, No. 6, 781-789 (2012). MSC: 05C25 05C12 05C76 PDFBibTeX XMLCite \textit{A. Daneshkhah} and \textit{A. Devillers}, Graphs Comb. 28, No. 6, 781--789 (2012; Zbl 1256.05096) Full Text: DOI arXiv
Cooper, Joshua; Lenz, John; LeSaulnier, Timothy D.; Wenger, Paul S.; West, Douglas B. Uniquely \(C _{4}\)-saturated graphs. (English) Zbl 1256.05115 Graphs Comb. 28, No. 2, 189-197 (2012). MSC: 05C35 05C50 05C75 PDFBibTeX XMLCite \textit{J. Cooper} et al., Graphs Comb. 28, No. 2, 189--197 (2012; Zbl 1256.05115) Full Text: DOI
Abreu, M.; Funk, M. J.; Labbate, D.; Napolitano, V. Invariant adjacency matrices of configuration graphs. (English) Zbl 1247.05131 Linear Algebra Appl. 437, No. 8, 2026-2037 (2012). MSC: 05C50 51B99 PDFBibTeX XMLCite \textit{M. Abreu} et al., Linear Algebra Appl. 437, No. 8, 2026--2037 (2012; Zbl 1247.05131) Full Text: DOI arXiv
Exoo, Geoffrey; Gimbert, Joan; López, Nacho; Gómez, José Radial Moore graphs of radius three. (English) Zbl 1243.05120 Discrete Appl. Math. 160, No. 10-11, 1507-1512 (2012). MSC: 05C35 05C12 05C07 PDFBibTeX XMLCite \textit{G. Exoo} et al., Discrete Appl. Math. 160, No. 10--11, 1507--1512 (2012; Zbl 1243.05120) Full Text: DOI