Meagher, Karen; Razafimahatratra, Andriaherimanana Sarobidy On the intersection density of the Kneser graph \(K(n, 3)\). (English) Zbl 07824139 Eur. J. Comb. 118, Article ID 103910, 15 p. (2024). MSC: 05C25 05C42 05A05 20B30 PDFBibTeX XMLCite \textit{K. Meagher} and \textit{A. S. Razafimahatratra}, Eur. J. Comb. 118, Article ID 103910, 15 p. (2024; Zbl 07824139) Full Text: DOI arXiv
Fallahpour, Samira; Salarian, Mohammadreza Cubic semisymmetric graphs of order \(44p\) or \(44p^2\). (English) Zbl 07794744 Int. J. Group Theory 13, No. 2, 161-172 (2024). MSC: 05E18 20D60 05C25 20B25 PDFBibTeX XMLCite \textit{S. Fallahpour} and \textit{M. Salarian}, Int. J. Group Theory 13, No. 2, 161--172 (2024; Zbl 07794744) Full Text: DOI
Mirafzal, Seyed Morteza On the automorphism groups of us-Cayley graphs. (English) Zbl 1527.05091 Art Discrete Appl. Math. 7, No. 1, Paper No. P1.06, 11 p. (2024). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{S. M. Mirafzal}, Art Discrete Appl. Math. 7, No. 1, Paper No. P1.06, 11 p. (2024; Zbl 1527.05091) Full Text: DOI arXiv
Mirafzal, S. M. Some new classes of distance integral graphs constructed from integral graphs. (English) Zbl 1527.05116 J. Linear Topol. Algebra 12, No. 1, 43-47 (2023). MSC: 05C50 PDFBibTeX XMLCite \textit{S. M. Mirafzal}, J. Linear Topol. Algebra 12, No. 1, 43--47 (2023; Zbl 1527.05116) Full Text: DOI
Ilić-Georgijević, E. On transitive Cayley graphs of homogeneous inverse semigroups. (English) Zbl 07773818 Acta Math. Hung. 171, No. 1, 183-199 (2023). MSC: 05C25 05C20 20M18 PDFBibTeX XMLCite \textit{E. Ilić-Georgijević}, Acta Math. Hung. 171, No. 1, 183--199 (2023; Zbl 07773818) Full Text: DOI
Du, Jia-Li; Yin, Fu-Gang; Ding, Menglin Cubic graphs admitting vertex-transitive almost simple groups. (English) Zbl 1527.05086 Graphs Comb. 39, No. 6, Paper No. 120, 18 p. (2023). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{J.-L. Du} et al., Graphs Comb. 39, No. 6, Paper No. 120, 18 p. (2023; Zbl 1527.05086) Full Text: DOI
Li, Na; Kwon, Young Soo; Zhou, Jin-Xin On cubic bi-Cayley graphs of \(p\)-groups. (English) Zbl 1525.05079 Ars Math. Contemp. 23, No. 4, Paper No. 9, 18 p. (2023). MSC: 05C25 20D15 20D60 PDFBibTeX XMLCite \textit{N. Li} et al., Ars Math. Contemp. 23, No. 4, Paper No. 9, 18 p. (2023; Zbl 1525.05079) Full Text: DOI
Lee, Dae-Woong; Staecker, P. Christopher Digital topological groups. (English) Zbl 07739137 Topology Appl. 338, Article ID 108644, 20 p. (2023). MSC: 22A30 22A10 68U03 05C10 54H11 54H30 PDFBibTeX XMLCite \textit{D.-W. Lee} and \textit{P. C. Staecker}, Topology Appl. 338, Article ID 108644, 20 p. (2023; Zbl 07739137) Full Text: DOI arXiv
Zhang, Junyang; Tao, Ying Nowhere-zero 3-flows In two families of vertex-transitive graphs. (English) Zbl 1520.05043 Bull. Aust. Math. Soc. 107, No. 3, 353-360 (2023). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C21 05C25 05C75 20D20 05C70 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{Y. Tao}, Bull. Aust. Math. Soc. 107, No. 3, 353--360 (2023; Zbl 1520.05043) Full Text: DOI
Cao, Jianji; Kwon, Young Soo; Zhang, Mimi A classification of tetravalent connected vertex-transitive bi-dicirculants. (English) Zbl 1518.05076 Discrete Math. 346, No. 10, Article ID 113554, 11 p. (2023). MSC: 05C25 PDFBibTeX XMLCite \textit{J. Cao} et al., Discrete Math. 346, No. 10, Article ID 113554, 11 p. (2023; Zbl 1518.05076) Full Text: DOI
Conder, Marston; Morgan, Luke; Potočnik, Primož Resolution of a conjecture about linking ring structures. (English) Zbl 1526.20005 J. Algebra 632, 87-101 (2023). Reviewer: Seyed Hassan Alavi (Hamedan) MSC: 20B25 05E18 PDFBibTeX XMLCite \textit{M. Conder} et al., J. Algebra 632, 87--101 (2023; Zbl 1526.20005) Full Text: DOI arXiv
Orel, Marko The core of a vertex-transitive complementary prism. (English) Zbl 1517.05123 Ars Math. Contemp. 23, No. 4, Paper No. 7, 9 p. (2023). MSC: 05C60 05C76 PDFBibTeX XMLCite \textit{M. Orel}, Ars Math. Contemp. 23, No. 4, Paper No. 7, 9 p. (2023; Zbl 1517.05123) Full Text: DOI
Morgan, Luke Vertex-transitive graphs with local action the symmetric group on ordered pairs. (English) Zbl 1516.20010 J. Group Theory 26, No. 3, 519-531 (2023). Reviewer: Egle Bettio (Venezia) MSC: 20B25 PDFBibTeX XMLCite \textit{L. Morgan}, J. Group Theory 26, No. 3, 519--531 (2023; Zbl 1516.20010) Full Text: DOI arXiv
Du, Shaofei; Tian, Yao; Yu, Hao Hamilton cycles in primitive graphs of order \(2rs\). (English) Zbl 1509.05108 Ars Math. Contemp. 23, No. 3, Paper No. 5, 24 p. (2023). MSC: 05C45 05C25 PDFBibTeX XMLCite \textit{S. Du} et al., Ars Math. Contemp. 23, No. 3, Paper No. 5, 24 p. (2023; Zbl 1509.05108) Full Text: DOI arXiv
Wang, Yuting; Zhang, Junyang Perfect codes in vertex-transitive graphs. (English) Zbl 1509.05143 J. Comb. Theory, Ser. A 196, Article ID 105737, 14 p. (2023). MSC: 05C69 05C25 94B25 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{J. Zhang}, J. Comb. Theory, Ser. A 196, Article ID 105737, 14 p. (2023; Zbl 1509.05143) Full Text: DOI arXiv
Du, Jiali; Zhang, Mimi Cubic vertex-transitive bi-Cayley graphs over non-abelian simple groups. (Chinese. English summary) Zbl 07800955 Acta Math. Appl. Sin. 45, No. 2, 181-186 (2022). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{J. Du} and \textit{M. Zhang}, Acta Math. Appl. Sin. 45, No. 2, 181--186 (2022; Zbl 07800955) Full Text: Link
Li, Guang; Lu, Zai Ping Pentavalent semisymmetric graphs of square-free order. (English) Zbl 1522.05190 J. Graph Theory 101, No. 1, 106-123 (2022). MSC: 05C25 05E18 20B25 PDFBibTeX XMLCite \textit{G. Li} and \textit{Z. P. Lu}, J. Graph Theory 101, No. 1, 106--123 (2022; Zbl 1522.05190) Full Text: DOI
Adachi, Toshiaki Kähler graphs whose principal graphs are of Cartesian product type. (English) Zbl 1522.05397 Adachi, Toshiaki (ed.) et al., New horizons in differential geometry and its related fields. Singapore: World Scientific. 209-231 (2022). MSC: 05C76 53C55 PDFBibTeX XMLCite \textit{T. Adachi}, in: New horizons in differential geometry and its related fields. Singapore: World Scientific. 209--231 (2022; Zbl 1522.05397) Full Text: DOI
Tsiovkina, Ludmila Yu. On some vertex-transitive distance-regular antipodal covers of complete graphs. (English) Zbl 1511.05240 Ural Math. J. 8, No. 2, 162-176 (2022). MSC: 05E18 05C25 20D06 20D08 05C12 PDFBibTeX XMLCite \textit{L. Yu. Tsiovkina}, Ural Math. J. 8, No. 2, 162--176 (2022; Zbl 1511.05240) Full Text: DOI MNR
Barbieri, Marco; Grazian, Valentina; Spiga, Pablo On the cayleyness of Praeger-Xu graphs. (English) Zbl 1504.05122 Bull. Aust. Math. Soc. 106, No. 3, 353-356 (2022). Reviewer: V. Yegnanarayanan (Chennai) MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{M. Barbieri} et al., Bull. Aust. Math. Soc. 106, No. 3, 353--356 (2022; Zbl 1504.05122) Full Text: DOI arXiv
Reiter, Isaac Armando; Zhou, Ju Perfect matching transitivity of circulant graphs. (English) Zbl 1499.05523 Electron. J. Graph Theory Appl. 10, No. 2, 541-552 (2022). MSC: 05C70 05C25 PDFBibTeX XMLCite \textit{I. A. Reiter} and \textit{J. Zhou}, Electron. J. Graph Theory Appl. 10, No. 2, 541--552 (2022; Zbl 1499.05523) Full Text: DOI
Jin, Wei; Tan, Li On diameter two Cayley graphs. (English) Zbl 1510.05055 Appl. Math. Comput. 434, Article ID 127437, 4 p. (2022). MSC: 05C12 05C25 PDFBibTeX XMLCite \textit{W. Jin} and \textit{L. Tan}, Appl. Math. Comput. 434, Article ID 127437, 4 p. (2022; Zbl 1510.05055) Full Text: DOI
Holt, Derek; Royle, Gordon; Tracey, Gareth The transitive groups of degree 48 and some applications. (English) Zbl 1515.20030 J. Algebra 607, Part A, 372-386 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20B25 20B20 20-08 PDFBibTeX XMLCite \textit{D. Holt} et al., J. Algebra 607, 372--386 (2022; Zbl 1515.20030) Full Text: DOI arXiv
Koolen, Jack H.; Lee, Jae-Ho; Tan, Ying-Ying Remarks on pseudo-vertex-transitive graphs with small diameter. (English) Zbl 1491.05202 Discrete Math. 345, No. 10, Article ID 112990, 20 p. (2022). MSC: 05E30 05C25 05C12 PDFBibTeX XMLCite \textit{J. H. Koolen} et al., Discrete Math. 345, No. 10, Article ID 112990, 20 p. (2022; Zbl 1491.05202) Full Text: DOI arXiv
Alspach, Brian; Dobson, Ted; Khodadadpour, Afsaneh; Šparl, Primož On factor-invariant graphs with two cycles. (English) Zbl 1490.05206 Discrete Math. 345, No. 8, Article ID 112937, 13 p. (2022). MSC: 05C70 05C75 05C25 PDFBibTeX XMLCite \textit{B. Alspach} et al., Discrete Math. 345, No. 8, Article ID 112937, 13 p. (2022; Zbl 1490.05206) Full Text: DOI arXiv
Zhu, Yanhong; Du, Shaofei Nonorientable regular embeddings of graphs of order \(p^3\). (English) Zbl 1489.05160 J. Algebr. Comb. 55, No. 4, 1251-1264 (2022). MSC: 05E18 05C60 20D20 20B35 PDFBibTeX XMLCite \textit{Y. Zhu} and \textit{S. Du}, J. Algebr. Comb. 55, No. 4, 1251--1264 (2022; Zbl 1489.05160) Full Text: DOI
Georgakopoulos, Agelos; Wendland, Alex Presentations for vertex-transitive graphs. (English) Zbl 1489.05068 J. Algebr. Comb. 55, No. 3, 795-826 (2022). MSC: 05C25 PDFBibTeX XMLCite \textit{A. Georgakopoulos} and \textit{A. Wendland}, J. Algebr. Comb. 55, No. 3, 795--826 (2022; Zbl 1489.05068) Full Text: DOI
Dobson, Ted; Malnič, Aleksander; Marušič, Dragan Symmetry in graphs. (English) Zbl 1504.05002 Cambridge Studies in Advanced Mathematics 198. Cambridge: Cambridge University Press (ISBN 978-1-108-42906-1/hbk; 978-1-108-55399-5/ebook). xi, 513 p. (2022). Reviewer: K. C. Chowdhury (Guwahati) MSC: 05-01 05C25 05E18 05C78 05C20 20B05 20B25 05C60 05C76 PDFBibTeX XMLCite \textit{T. Dobson} et al., Symmetry in graphs. Cambridge: Cambridge University Press (2022; Zbl 1504.05002) Full Text: DOI
Jin, Wei; Tan, Li Vertex-transitive diameter two graphs. (English) Zbl 1484.05094 Acta Math. Appl. Sin., Engl. Ser. 38, No. 1, 209-222 (2022). MSC: 05C25 05E18 20B25 PDFBibTeX XMLCite \textit{W. Jin} and \textit{L. Tan}, Acta Math. Appl. Sin., Engl. Ser. 38, No. 1, 209--222 (2022; Zbl 1484.05094) Full Text: DOI
Amoli, Pooriya Majd; Darafsheh, Mohammad Reza; Tehranian, Abolfazl Semi-symmetric cubic graph of order \(12p^3\). (English) Zbl 1485.05183 Bull. Korean Math. Soc. 59, No. 1, 203-212 (2022). MSC: 05E18 20D60 05C25 20B25 PDFBibTeX XMLCite \textit{P. M. Amoli} et al., Bull. Korean Math. Soc. 59, No. 1, 203--212 (2022; Zbl 1485.05183) Full Text: DOI
Potočnik, Primož; Vidali, Janoš Cubic vertex-transitive graphs of girth six. (English) Zbl 1480.05070 Discrete Math. 345, No. 3, Article ID 112734, 19 p. (2022). MSC: 05C25 05C38 05C12 PDFBibTeX XMLCite \textit{P. Potočnik} and \textit{J. Vidali}, Discrete Math. 345, No. 3, Article ID 112734, 19 p. (2022; Zbl 1480.05070) Full Text: DOI arXiv
Li, Pingshan Edge fault-tolerance of strongly Menger edge connected graphs. (English) Zbl 1479.05083 Discrete Math. 345, No. 2, Article ID 112681, 8 p. (2022). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C12 05C35 05C38 05C40 PDFBibTeX XMLCite \textit{P. Li}, Discrete Math. 345, No. 2, Article ID 112681, 8 p. (2022; Zbl 1479.05083) Full Text: DOI
Jajcay, R.; Potočnik, P.; Wilson, S. On the Cayleyness of Praeger-Xu graphs. (English) Zbl 1478.05071 J. Comb. Theory, Ser. B 152, 55-79 (2022). MSC: 05C25 05E18 05C75 94B05 20B30 20B25 PDFBibTeX XMLCite \textit{R. Jajcay} et al., J. Comb. Theory, Ser. B 152, 55--79 (2022; Zbl 1478.05071) Full Text: DOI
Fuhlbrück, Frank; Köbler, Johannes; Ponomarenko, Ilia; Verbitsky, Oleg The Weisfeiler-Leman algorithm and recognition of graph properties. (English) Zbl 1517.05166 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, 245-257 (2021). MSC: 05C85 05C60 05E30 PDFBibTeX XMLCite \textit{F. Fuhlbrück} et al., Lect. Notes Comput. Sci. 12701, 245--257 (2021; Zbl 1517.05166) Full Text: DOI
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
Lehner, Florian; Potočnik, Primož; Spiga, Pablo On fixity of arc-transitive graphs. (English) Zbl 07445144 Sci. China, Math. 64, No. 12, 2603-2610 (2021). MSC: 20B25 PDFBibTeX XMLCite \textit{F. Lehner} et al., Sci. China, Math. 64, No. 12, 2603--2610 (2021; Zbl 07445144) Full Text: DOI arXiv
Drglin, Ajda Zavrtanik; Filipovski, Slobodan; Jajcay, Robert; Raiman, Tom Extremal edge-girth-regular graphs. (English) Zbl 1479.05169 Graphs Comb. 37, No. 6, 2139-2154 (2021). MSC: 05C35 05C25 05C38 PDFBibTeX XMLCite \textit{A. Z. Drglin} et al., Graphs Comb. 37, No. 6, 2139--2154 (2021; Zbl 1479.05169) Full Text: DOI
Fuhlbrück, Frank; Köbler, Johannes; Ponomarenko, Ilia; Verbitsky, Oleg The Weisfeiler-Leman algorithm and recognition of graph properties. (English) Zbl 1517.05165 Theor. Comput. Sci. 895, 96-114 (2021). MSC: 05C85 05C60 05E30 PDFBibTeX XMLCite \textit{F. Fuhlbrück} et al., Theor. Comput. Sci. 895, 96--114 (2021; Zbl 1517.05165) Full Text: DOI arXiv
Mao, Huiqun; Zhang, Huajun Independent sets in tensor products of three vertex-transitive graphs. (English) Zbl 1475.05164 Taiwanese J. Math. 25, No. 2, 207-222 (2021). MSC: 05D05 05C25 06A07 PDFBibTeX XMLCite \textit{H. Mao} and \textit{H. Zhang}, Taiwanese J. Math. 25, No. 2, 207--222 (2021; Zbl 1475.05164) Full Text: DOI
Mirafzal, Seyed Morteza; Ziaee, Meysam A note on the automorphism group of the Hamming graph. (English) Zbl 1488.05483 Trans. Comb. 10, No. 2, 129-136 (2021). MSC: 05E18 20B25 PDFBibTeX XMLCite \textit{S. M. Mirafzal} and \textit{M. Ziaee}, Trans. Comb. 10, No. 2, 129--136 (2021; Zbl 1488.05483) Full Text: DOI arXiv
Tsiovkina, Ludmila Yur’evna On a class of vertex-transitive distance-regular covers of complete graphs. (Russian. English summary) Zbl 1468.05024 Sib. Èlektron. Mat. Izv. 18, No. 2, 758-781 (2021). MSC: 05B25 05E18 PDFBibTeX XMLCite \textit{L. Y. Tsiovkina}, Sib. Èlektron. Mat. Izv. 18, No. 2, 758--781 (2021; Zbl 1468.05024) Full Text: DOI
Mütze, Torsten; Nummenpalo, Jerri; Walczak, Bartosz Sparse Kneser graphs are Hamiltonian. (English) Zbl 1470.05096 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1253-1275 (2021). MSC: 05C45 05C42 94B25 PDFBibTeX XMLCite \textit{T. Mütze} et al., J. Lond. Math. Soc., II. Ser. 103, No. 4, 1253--1275 (2021; Zbl 1470.05096) Full Text: DOI
Shahsavaran, Mohsen; Darafsheh, Mohammad Reza On semisymmetric cubic graphs of order \(20p^2\), \(p\) prime. (English) Zbl 1468.05310 Discuss. Math., Graph Theory 41, No. 4, 873-891 (2021). MSC: 05E18 20D60 05C25 20B25 PDFBibTeX XMLCite \textit{M. Shahsavaran} and \textit{M. R. Darafsheh}, Discuss. Math., Graph Theory 41, No. 4, 873--891 (2021; Zbl 1468.05310) Full Text: DOI
Poznanović, Nemanja; Praeger, Cheryl E. Four-valent oriented graphs of biquasiprimitive type. (English) Zbl 1472.05067 Algebr. Comb. 4, No. 3, 409-434 (2021). MSC: 05C25 20B25 20B05 05E18 PDFBibTeX XMLCite \textit{N. Poznanović} and \textit{C. E. Praeger}, Algebr. Comb. 4, No. 3, 409--434 (2021; Zbl 1472.05067) Full Text: DOI arXiv
Teressa, Romain; Tointon, Matthew C. H. A finitary structure theorem for vertex-transitive graphs of polynomial growth. (English) Zbl 1474.05343 Combinatorica 41, No. 2, 263-298 (2021). Reviewer: David B. Penman (Colchester) / Ulrich Knauer (Oldenburg) MSC: 05C75 05C25 05C81 22D99 PDFBibTeX XMLCite \textit{R. Teressa} and \textit{M. C. H. Tointon}, Combinatorica 41, No. 2, 263--298 (2021; Zbl 1474.05343) Full Text: DOI arXiv
Potočnik, Primož; Toledo, Micael Finite cubic graphs admitting a cyclic group of automorphism with at most three orbits on vertices. (English) Zbl 1453.05047 Discrete Math. 344, No. 2, Article ID 112195, 17 p. (2021). MSC: 05C25 05C60 PDFBibTeX XMLCite \textit{P. Potočnik} and \textit{M. Toledo}, Discrete Math. 344, No. 2, Article ID 112195, 17 p. (2021; Zbl 1453.05047) Full Text: DOI arXiv
Zhao, Shuang; Chen, Zongqing; Yang, Weihua; Meng, Jixiang Edge fault-tolerance analysis of maximally edge-connected graphs and super edge-connected graphs. (English) Zbl 1464.68035 J. Comput. Syst. Sci. 115, 64-72 (2021). MSC: 68M15 05C40 68R10 PDFBibTeX XMLCite \textit{S. Zhao} et al., J. Comput. Syst. Sci. 115, 64--72 (2021; Zbl 1464.68035) Full Text: DOI
Hujdurović, Ademir Strong cliques in vertex-transitive graphs. (English) Zbl 07730979 J. Graph Theory 95, No. 4, 543-564 (2020). MSC: 05Cxx PDFBibTeX XMLCite \textit{A. Hujdurović}, J. Graph Theory 95, No. 4, 543--564 (2020; Zbl 07730979) Full Text: DOI arXiv
Rhodes, Mason L.; Wong, Thomas G. Search on vertex-transitive graphs by lackadaisical quantum walk. (English) Zbl 1509.81494 Quantum Inf. Process. 19, No. 9, Paper No. 334, 16 p. (2020). MSC: 81Q35 81P68 PDFBibTeX XMLCite \textit{M. L. Rhodes} and \textit{T. G. Wong}, Quantum Inf. Process. 19, No. 9, Paper No. 334, 16 p. (2020; Zbl 1509.81494) Full Text: DOI arXiv
Al-Addasi, Salah Graphs having constant \(H\)-complements. (English) Zbl 1499.05537 Ars Comb. 151, 181-188 (2020). MSC: 05C76 05C05 05C75 PDFBibTeX XMLCite \textit{S. Al-Addasi}, Ars Comb. 151, 181--188 (2020; Zbl 1499.05537)
Alizadeh, Yaser; Klavzar, Sandi Complexity of the Szeged index, edge orbits, and some nanotubical fullerenes. (English) Zbl 1488.05075 Hacet. J. Math. Stat. 49, No. 1, 87-95 (2020). MSC: 05C09 05C12 05C25 92E10 05C92 PDFBibTeX XMLCite \textit{Y. Alizadeh} and \textit{S. Klavzar}, Hacet. J. Math. Stat. 49, No. 1, 87--95 (2020; Zbl 1488.05075)
Wang, Xue; Yin, Fu-Gang; Zhou, Jin-Xin On generalized truncations of complete graphs. (English) Zbl 1465.05082 Ars Math. Contemp. 19, No. 2, 325-335 (2020). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{X. Wang} et al., Ars Math. Contemp. 19, No. 2, 325--335 (2020; Zbl 1465.05082) Full Text: DOI
Lehner, Florian; Verret, Gabriel Distinguishing numbers of finite 4-valent vertex-transitive graphs. (English) Zbl 1465.05063 Ars Math. Contemp. 19, No. 2, 173-187 (2020). MSC: 05C15 05C25 05E18 PDFBibTeX XMLCite \textit{F. Lehner} and \textit{G. Verret}, Ars Math. Contemp. 19, No. 2, 173--187 (2020; Zbl 1465.05063) Full Text: DOI arXiv
Du, Shaofei; Kutnar, Klavdija; Marušič, Dragan Hamilton cycles in primitive vertex-transitive graphs of order a product of two primes – the case \(\mathrm{PSL}(2,q^2)\) acting on cosets of \(\mathrm{PGL}(2, q)\). (English) Zbl 1465.05092 Ars Math. Contemp. 19, No. 1, 1-15 (2020). MSC: 05C45 05C25 PDFBibTeX XMLCite \textit{S. Du} et al., Ars Math. Contemp. 19, No. 1, 1--15 (2020; Zbl 1465.05092) Full Text: DOI
Darafsheh, Mohammad Reza; Karamzadeh, Negur Shahni On topological properties of the \(n\)-star graph. (English) Zbl 1464.92300 Iran. J. Math. Chem. 11, No. 1, 11-16 (2020). MSC: 92E10 05C92 PDFBibTeX XMLCite \textit{M. R. Darafsheh} and \textit{N. S. Karamzadeh}, Iran. J. Math. Chem. 11, No. 1, 11--16 (2020; Zbl 1464.92300) Full Text: DOI
Berčič, Katja; Vidali, Janoš DiscreteZOO: a fingerprint database of discrete objects. (English) Zbl 1474.68457 Math. Comput. Sci. 14, No. 3, 559-575 (2020). MSC: 68V35 68P15 68Rxx 68W30 PDFBibTeX XMLCite \textit{K. Berčič} and \textit{J. Vidali}, Math. Comput. Sci. 14, No. 3, 559--575 (2020; Zbl 1474.68457) Full Text: DOI arXiv Backlinks: MO
Jasenčáková, Katarína; Jajcay, Robert; Pisanski, Tomaž A new generalization of generalized Petersen graphs. (English) Zbl 1441.05103 Art Discrete Appl. Math. 3, No. 1, Paper No. P1.04, 20 p. (2020). MSC: 05C25 PDFBibTeX XMLCite \textit{K. Jasenčáková} et al., Art Discrete Appl. Math. 3, No. 1, Paper No. P1.04, 20 p. (2020; Zbl 1441.05103) Full Text: DOI
Feng, Yan-Quan; Kovács, István; Yang, Da-Wei On groups all of whose Haar graphs are Cayley graphs. (English) Zbl 1447.05103 J. Algebr. Comb. 52, No. 1, 59-76 (2020). MSC: 05C25 05E18 20B25 05C85 05C12 05C60 05C38 PDFBibTeX XMLCite \textit{Y.-Q. Feng} et al., J. Algebr. Comb. 52, No. 1, 59--76 (2020; Zbl 1447.05103) Full Text: DOI arXiv
Darafsheh, Mohammad Reza; Shahsavaran, Mohsen Semisymmetric cubic graphs of order \(34p^3\). (English) Zbl 1445.05115 Bull. Korean Math. Soc. 57, No. 3, 739-750 (2020). MSC: 05E18 20D60 05C25 20B25 PDFBibTeX XMLCite \textit{M. R. Darafsheh} and \textit{M. Shahsavaran}, Bull. Korean Math. Soc. 57, No. 3, 739--750 (2020; Zbl 1445.05115) Full Text: DOI
Adachi, Toshiaki; Chen, Guanyuan Regular and vertex-transitive Kähler graphs having commutative principal and auxiliary adjacency operators. (English) Zbl 1442.05185 Graphs Comb. 36, No. 4, 933-958 (2020). MSC: 05C76 05C81 53C55 PDFBibTeX XMLCite \textit{T. Adachi} and \textit{G. Chen}, Graphs Comb. 36, No. 4, 933--958 (2020; Zbl 1442.05185) Full Text: DOI
Holt, Derek; Royle, Gordon A census of small transitive groups and vertex-transitive graphs. (English) Zbl 1528.20004 J. Symb. Comput. 101, 51-60 (2020). MSC: 20B20 05C25 05E18 20-08 PDFBibTeX XMLCite \textit{D. Holt} and \textit{G. Royle}, J. Symb. Comput. 101, 51--60 (2020; Zbl 1528.20004) Full Text: DOI arXiv Link
Maiti, Arun Quasi-vertex-transitive maps on the plane. (English) Zbl 1440.05072 Discrete Math. 343, No. 7, Article ID 111911, 6 p. (2020). MSC: 05C10 05E18 05C25 PDFBibTeX XMLCite \textit{A. Maiti}, Discrete Math. 343, No. 7, Article ID 111911, 6 p. (2020; Zbl 1440.05072) Full Text: DOI arXiv
Qiao, Sha; Zhou, Jin-Xin On tetravalent vertex-transitive bi-circulants. (English) Zbl 1437.05099 Indian J. Pure Appl. Math. 51, No. 1, 277-288 (2020). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{S. Qiao} and \textit{J.-X. Zhou}, Indian J. Pure Appl. Math. 51, No. 1, 277--288 (2020; Zbl 1437.05099) Full Text: DOI
Cao, Jianji; Cheng, Huiwen A classification of cubic connected bi-dicirculants. (English) Zbl 1435.05101 Discrete Math. 343, No. 5, Article ID 111814, 7 p. (2020). MSC: 05C25 PDFBibTeX XMLCite \textit{J. Cao} and \textit{H. Cheng}, Discrete Math. 343, No. 5, Article ID 111814, 7 p. (2020; Zbl 1435.05101) Full Text: DOI
Al-Addasi, Salah Graphs having constant \(H\)-complements. (English) Zbl 1488.05429 Ars Comb. 147, 79-86 (2019). MSC: 05C76 05C05 05C75 PDFBibTeX XMLCite \textit{S. Al-Addasi}, Ars Comb. 147, 79--86 (2019; Zbl 1488.05429)
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 PDFBibTeX XMLCite \textit{N. Balachandran} et al., Ars Math. Contemp. 17, No. 1, 311--318 (2019; Zbl 1433.05143) Full Text: DOI arXiv
Shahsavaran, Mohsen; Darafsheh, Mohammad Reza Classifying semisymmetric cubic graphs of order \(20p\). (English) Zbl 1432.05049 Turk. J. Math. 43, No. 6, 2755-2766 (2019). MSC: 05C25 05E18 20D60 20B25 PDFBibTeX XMLCite \textit{M. Shahsavaran} and \textit{M. R. Darafsheh}, Turk. J. Math. 43, No. 6, 2755--2766 (2019; Zbl 1432.05049) Full Text: Link
Berestovskii, V. N.; Nikonorov, Yu. G. Finite homogeneous metric spaces. (English. Russian original) Zbl 1431.51008 Sib. Math. J. 60, No. 5, 757-773 (2019); translation from Sib. Mat. Zh. 60, No. 5, 973-995 (2019). MSC: 51H99 51F99 PDFBibTeX XMLCite \textit{V. N. Berestovskii} and \textit{Yu. G. Nikonorov}, Sib. Math. J. 60, No. 5, 757--773 (2019; Zbl 1431.51008); translation from Sib. Mat. Zh. 60, No. 5, 973--995 (2019) Full Text: DOI
Xie, Yan-Ting; Xu, Shou-Jun On the maximum value of the eccentric distance sums of cubic transitive graphs. (English) Zbl 1428.05090 Appl. Math. Comput. 359, 194-201 (2019). MSC: 05C12 05C35 PDFBibTeX XMLCite \textit{Y.-T. Xie} and \textit{S.-J. Xu}, Appl. Math. Comput. 359, 194--201 (2019; Zbl 1428.05090) Full Text: DOI
Lanel, G. H. J.; Pallage, H. K.; Ratnayake, J. K.; Thevasha, S.; Welihinda, B. A. K. A survey on Hamiltonicity in Cayley graphs and digraphs on different groups. (English) Zbl 1426.05085 Discrete Math. Algorithms Appl. 11, No. 5, Article ID 1930002, 18 p. (2019). MSC: 05C45 05C25 PDFBibTeX XMLCite \textit{G. H. J. Lanel} et al., Discrete Math. Algorithms Appl. 11, No. 5, Article ID 1930002, 18 p. (2019; Zbl 1426.05085) Full Text: DOI
García, Maria Asuncion; Kutnar, Klavdija; Malnič, Aleksander; Martínez, Luis; Marušič, Dragan; Montoya, Juan Manuel Construction of infinite families of vertex-transitive directed strongly regular graphs. (English) Zbl 1520.05047 Acta Math. Univ. Comen., New Ser. 88, No. 2, 319-327 (2019). MSC: 05C25 05E30 PDFBibTeX XMLCite \textit{M. A. García} et al., Acta Math. Univ. Comen., New Ser. 88, No. 2, 319--327 (2019; Zbl 1520.05047) Full Text: Link
Fukshansky, Lenny; Needell, Deanna; Park, Josiah; Xin, Yuxin Lattices from tight frames and vertex transitive graphs. (English) Zbl 1443.11131 Electron. J. Comb. 26, No. 3, Research Paper P3.49, 31 p. (2019). Reviewer: Gabriele Nebe (Aachen) MSC: 11H31 52C17 42C15 05C50 05C76 PDFBibTeX XMLCite \textit{L. Fukshansky} et al., Electron. J. Comb. 26, No. 3, Research Paper P3.49, 31 p. (2019; Zbl 1443.11131) Full Text: arXiv Link
Alspach, Brian; Khodadadpour, Afsaneh; Kreher, Donald L. On factor-invariant graphs. (English) Zbl 1418.05072 Discrete Math. 342, No. 8, 2173-2178 (2019). MSC: 05C25 05C70 05C45 PDFBibTeX XMLCite \textit{B. Alspach} et al., Discrete Math. 342, No. 8, 2173--2178 (2019; Zbl 1418.05072) Full Text: DOI
Tsiovkina, L. Yu. On the automorphism group of an antipodal tight graph of diameter 4 with parameters \((5, 7, r)\). (English. Russian original) Zbl 1415.05075 Math. Notes 105, No. 1, 104-114 (2019); translation from Mat. Zametki 105, No. 1, 123-135 (2019). MSC: 05C25 05C12 20B25 PDFBibTeX XMLCite \textit{L. Yu. Tsiovkina}, Math. Notes 105, No. 1, 104--114 (2019; Zbl 1415.05075); translation from Mat. Zametki 105, No. 1, 123--135 (2019) Full Text: DOI
Hujdurović, Ademir Graphs with Cayley canonical double covers. (English) Zbl 1416.05138 Discrete Math. 342, No. 9, 2542-2548 (2019). MSC: 05C25 05C70 PDFBibTeX XMLCite \textit{A. Hujdurović}, Discrete Math. 342, No. 9, 2542--2548 (2019; Zbl 1416.05138) Full Text: DOI
Eiben, Eduard; Jajcay, Robert; Šparl, Primož Symmetry properties of generalized graph truncations. (English) Zbl 1415.05172 J. Comb. Theory, Ser. B 137, 291-315 (2019). MSC: 05C99 05C25 PDFBibTeX XMLCite \textit{E. Eiben} et al., J. Comb. Theory, Ser. B 137, 291--315 (2019; Zbl 1415.05172) Full Text: DOI arXiv
Mirafzal, S. Morteza The automorphism group of the bipartite Kneser graph. (English) Zbl 1415.05073 Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 34, 8 p. (2019). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{S. M. Mirafzal}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 3, Paper No. 34, 8 p. (2019; Zbl 1415.05073) Full Text: DOI arXiv
Jajcay, Robert; Jones, Gareth A. \(r\)-regular families of graph automorphisms. (English) Zbl 1414.05013 Eur. J. Comb. 79, 97-110 (2019). MSC: 05A05 05C60 05C25 PDFBibTeX XMLCite \textit{R. Jajcay} and \textit{G. A. Jones}, Eur. J. Comb. 79, 97--110 (2019; Zbl 1414.05013) Full Text: DOI
Klavžar, Sandi; Rall, Douglas F. Packing chromatic vertex-critical graphs. (English) Zbl 1411.05091 Discrete Math. Theor. Comput. Sci. 21, No. 3, Paper No. 8, 18 p. (2019). MSC: 05C15 05C70 05C76 05C05 05C25 PDFBibTeX XMLCite \textit{S. Klavžar} and \textit{D. F. Rall}, Discrete Math. Theor. Comput. Sci. 21, No. 3, Paper No. 8, 18 p. (2019; Zbl 1411.05091) Full Text: arXiv Link
Zhou, Ju Characterization of perfect matching transitive graphs. (English) Zbl 1468.05242 Electron. J. Graph Theory Appl. 6, No. 2, 362-370 (2018). MSC: 05C70 05C25 05C60 PDFBibTeX XMLCite \textit{J. Zhou}, Electron. J. Graph Theory Appl. 6, No. 2, 362--370 (2018; Zbl 1468.05242) Full Text: DOI
Hujdurović, Ademir; Kutnar, Klavdija; Marušič, Dragan On normality of \(n\)-Cayley graphs. (English) Zbl 1427.05102 Appl. Math. Comput. 332, 469-476 (2018). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{A. Hujdurović} et al., Appl. Math. Comput. 332, 469--476 (2018; Zbl 1427.05102) Full Text: DOI
Mütze, Torsten; Nummenpalo, Jerri; Walczak, Bartosz Sparse Kneser graphs are Hamiltonian. (English) Zbl 1428.05179 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 912-919 (2018). MSC: 05C45 PDFBibTeX XMLCite \textit{T. Mütze} et al., in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 912--919 (2018; Zbl 1428.05179) Full Text: DOI arXiv Link
Zhao, Yunfan; Wierman, John C.; Marge, Thomas Perfect domination ratios of Archimedean lattices. (English) Zbl 1420.05138 Congr. Numerantium 231, 39-61 (2018). MSC: 05C69 05C63 05C10 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Congr. Numerantium 231, 39--61 (2018; Zbl 1420.05138)
Conder, Marston D. E.; Estélyi, István; Pisanski, Tomaž Vertex-transitive Haar graphs that are not Cayley graphs. (English) Zbl 1409.05100 Conder, Marston D. E. (ed.) et al., Discrete geometry and symmetry. Dedicated to Károly Bezdek and Egon Schulte on the occasion of their 60th birthdays. Selected papers based on the presentations at the conference ‘Geometry and symmetry’, Veszprém, Hungary, June 29 – July 3, 2015. Cham: Springer. Springer Proc. Math. Stat. 234, 61-70 (2018). MSC: 05C25 05E18 20B25 PDFBibTeX XMLCite \textit{M. D. E. Conder} et al., Springer Proc. Math. Stat. 234, 61--70 (2018; Zbl 1409.05100) Full Text: DOI arXiv
Conder, Marston D. E.; Poznanović, Nemanja The arc-types of Cayley graphs. (English) Zbl 1404.05217 Ars Math. Contemp. 15, No. 1, 97-112 (2018). MSC: 05E18 05C25 20B25 05C75 05C76 PDFBibTeX XMLCite \textit{M. D. E. Conder} and \textit{N. Poznanović}, Ars Math. Contemp. 15, No. 1, 97--112 (2018; Zbl 1404.05217) Full Text: DOI
Grimmett, Geoffrey R.; Li, Zhongyang Locality of connective constants. (English) Zbl 1397.05076 Discrete Math. 341, No. 12, 3483-3497 (2018). MSC: 05C25 PDFBibTeX XMLCite \textit{G. R. Grimmett} and \textit{Z. Li}, Discrete Math. 341, No. 12, 3483--3497 (2018; Zbl 1397.05076) Full Text: DOI arXiv
Hujdurović, Ademir; Kutnar, Klavdija; Marušič, Dragan Enumerating graphs via even/odd dichotomy. (English) Zbl 1394.05058 Discrete Appl. Math. 247, 252-262 (2018). MSC: 05C30 05C25 20B25 PDFBibTeX XMLCite \textit{A. Hujdurović} et al., Discrete Appl. Math. 247, 252--262 (2018; Zbl 1394.05058) Full Text: DOI
Al-Addasi, S. The \(4\)-cube as a \(D\)-levels locally homogeneous graph. (English) Zbl 1413.05072 Ars Comb. 136, 219-226 (2018). MSC: 05C12 05C75 PDFBibTeX XMLCite \textit{S. Al-Addasi}, Ars Comb. 136, 219--226 (2018; Zbl 1413.05072)
Zhang, Mi-Mi No hexavalent half-arc-transitive graphs of order twice a prime square exist. (English) Zbl 1388.05089 Proc. Indian Acad. Sci., Math. Sci. 128, No. 1, Paper No. 3, 8 p. (2018). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{M.-M. Zhang}, Proc. Indian Acad. Sci., Math. Sci. 128, No. 1, Paper No. 3, 8 p. (2018; Zbl 1388.05089) Full Text: DOI
Marušič, Dragan Semiregular automorphisms in vertex-transitive graphs of order \(3p^2\). (English) Zbl 1458.20003 Electron. J. Comb. 25, No. 2, Research Paper P2.25, 10 p. (2018). MSC: 20B25 05C25 PDFBibTeX XMLCite \textit{D. Marušič}, Electron. J. Comb. 25, No. 2, Research Paper P2.25, 10 p. (2018; Zbl 1458.20003) Full Text: Link
Hammack, Richard H.; Imrich, Wilfried Vertex-transitive direct products of graphs. (English) Zbl 1391.05217 Electron. J. Comb. 25, No. 2, Research Paper P2.10, 16 p. (2018). MSC: 05C76 05C75 PDFBibTeX XMLCite \textit{R. H. Hammack} and \textit{W. Imrich}, Electron. J. Comb. 25, No. 2, Research Paper P2.10, 16 p. (2018; Zbl 1391.05217) Full Text: Link
Du, Jia-Li; Feng, Yan-Quan Pentavalent symmetric graphs admitting transitive non-abelian characteristically simple groups. (English) Zbl 1380.05101 Discrete Math. 341, No. 4, 912-918 (2018). MSC: 05C25 20B30 PDFBibTeX XMLCite \textit{J.-L. Du} and \textit{Y.-Q. Feng}, Discrete Math. 341, No. 4, 912--918 (2018; Zbl 1380.05101) Full Text: DOI arXiv
Wang, Jun; Zhang, Huajun Intersecting families in symmetric unions of direct products of set families. (English) Zbl 1379.05117 SIAM J. Discrete Math. 32, No. 1, 372-381 (2018). MSC: 05D05 06A07 05C69 05C76 PDFBibTeX XMLCite \textit{J. Wang} and \textit{H. Zhang}, SIAM J. Discrete Math. 32, No. 1, 372--381 (2018; Zbl 1379.05117) Full Text: DOI
Filipovski, Slobodan; Jajcay, Robert On the excess of vertex-transitive graphs of given degree and girth. (English) Zbl 1378.05087 Discrete Math. 341, No. 3, 772-780 (2018). MSC: 05C25 05C30 05C38 05C35 05C07 PDFBibTeX XMLCite \textit{S. Filipovski} and \textit{R. Jajcay}, Discrete Math. 341, No. 3, 772--780 (2018; Zbl 1378.05087) Full Text: DOI
Hujdurović, Ademir; Kutnar, Klavdija; Petecki, Paweł; Tanana, Anastasiya On automorphisms and structural properties of generalized Cayley graphs. (English) Zbl 1499.05277 Filomat 31, No. 13, 4033-4040 (2017). MSC: 05C25 PDFBibTeX XMLCite \textit{A. Hujdurović} et al., Filomat 31, No. 13, 4033--4040 (2017; Zbl 1499.05277) Full Text: DOI arXiv
Li, Yantao; Cheng, Huiwen; Ma, Qinghua A note on non-existence of cubic semisymmetric graphs of order \(8p\) or \(8p^2\). (English) Zbl 1424.05140 Ars Comb. 133, 377-383 (2017). MSC: 05C25 20B25 PDFBibTeX XMLCite \textit{Y. Li} et al., Ars Comb. 133, 377--383 (2017; Zbl 1424.05140)
Devi, P. Anusha; Monikandan, S. Degree associated reconstruction number of graphs with regular pruned graph. (English) Zbl 1463.05380 Ars Comb. 134, 29-41 (2017). MSC: 05C60 PDFBibTeX XMLCite \textit{P. A. Devi} and \textit{S. Monikandan}, Ars Comb. 134, 29--41 (2017; Zbl 1463.05380)
Marc, Tilen Classification of vertex-transitive cubic partial cubes. (English) Zbl 1375.05130 J. Graph Theory 86, No. 4, 406-421 (2017). MSC: 05C25 05C38 05C60 05C10 05C12 PDFBibTeX XMLCite \textit{T. Marc}, J. Graph Theory 86, No. 4, 406--421 (2017; Zbl 1375.05130) Full Text: DOI arXiv
Khosravi, Behnam The endomorphism monoids and automorphism groups of Cayley graphs of semigroups. (English) Zbl 1428.20057 Semigroup Forum 95, No. 1, 179-191 (2017). Reviewer: Ulrich Knauer (Oldenburg) MSC: 20M20 05C25 20M30 05C62 PDFBibTeX XMLCite \textit{B. Khosravi}, Semigroup Forum 95, No. 1, 179--191 (2017; Zbl 1428.20057) Full Text: DOI
Ma, Li Edge-transitive cubic graph of order \(2{p^l}\). (Chinese. English summary) Zbl 1389.05071 Nat. Sci. J. Xiangtan Univ. 39, No. 1, 5-7 (2017). MSC: 05C25 20F65 PDFBibTeX XMLCite \textit{L. Ma}, Nat. Sci. J. Xiangtan Univ. 39, No. 1, 5--7 (2017; Zbl 1389.05071) Full Text: DOI