Xie, Jiayi; Jia, Dongdong; Zhang, Gengsheng Spectra of quasi-strongly regular graphs. (English) Zbl 07756929 Discrete Math. 347, No. 1, Article ID 113660, 14 p. (2024). MSC: 05E30 05C50 15A18 PDF BibTeX XML Cite \textit{J. Xie} et al., Discrete Math. 347, No. 1, Article ID 113660, 14 p. (2024; Zbl 07756929) Full Text: DOI
Makhnev, Aleksandr A.; Golubyatnikov, Mikhail P. On small distance-regular graphs with the intersection arrays \( \{mn - 1, (m - 1)(n + 1), n - m + 1; 1, 1, (m - 1)(n + 1)\}\). (English. Russian original) Zbl 07767365 Discrete Math. Appl. 33, No. 5, 273-281 (2023); translation from Diskretn. Mat. 34, No. 1, 76-87 (2022). MSC: 05E30 05C12 05C10 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Discrete Math. Appl. 33, No. 5, 273--281 (2023; Zbl 07767365); translation from Diskretn. Mat. 34, No. 1, 76--87 (2022) Full Text: DOI
Dewar, Sean Classifying the globally rigid edge-transitive graphs and distance-regular graphs in the plane. (English) Zbl 1522.05082 J. Graph Theory 103, No. 2, 175-185 (2023). MSC: 05C12 05C10 52C25 PDF BibTeX XML Cite \textit{S. Dewar}, J. Graph Theory 103, No. 2, 175--185 (2023; Zbl 1522.05082) Full Text: DOI arXiv
Makhnev, Aleksandr A.; Guo, Wenbin On distance-regular graphs \(\Gamma\) of diameter 3 for which \(\Gamma_3\) is a triangle-free graph. (English. Russian original) Zbl 07740750 Discrete Math. Appl. 33, No. 4, 199-204 (2023); translation from Diskretn. Mat. 33, No. 4, 61-67 (2021). Reviewer: Hirotake Kurihara (Yamaguchi) MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{W. Guo}, Discrete Math. Appl. 33, No. 4, 199--204 (2023; Zbl 07740750); translation from Diskretn. Mat. 33, No. 4, 61--67 (2021) Full Text: DOI
West, Douglas B.; Zhu, Xuding 2-reconstructibility of strongly regular graphs and 2-partially distance-regular graphs. (English) Zbl 1519.05177 Graphs Comb. 39, No. 5, Paper No. 94, 6 p. (2023). Reviewer: Nicolás Sanhueza-Matamala (Praha) MSC: 05C60 05C12 05E30 PDF BibTeX XML Cite \textit{D. B. West} and \textit{X. Zhu}, Graphs Comb. 39, No. 5, Paper No. 94, 6 p. (2023; Zbl 1519.05177) Full Text: DOI
Makhnev, A. A.; Van, Zh. On \(Q \)-polynomial Shilla graphs with \(b=6 \). (English. Russian original) Zbl 1519.05064 Sib. Math. J. 64, No. 4, 982-987 (2023); translation from Sib. Mat. Zh. 64, No. 2, 117-123 (2023). MSC: 05C12 05E30 05C50 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{Zh. Van}, Sib. Math. J. 64, No. 4, 982--987 (2023; Zbl 1519.05064); translation from Sib. Mat. Zh. 64, No. 2, 117--123 (2023) Full Text: DOI
Huang, Xueyi; Das, Kinkar Chandra; Lu, Lu Distance-regular Cayley graphs over dicyclic groups. (English) Zbl 1512.05410 J. Algebr. Comb. 57, No. 2, 403-420 (2023). MSC: 05E30 05C25 PDF BibTeX XML Cite \textit{X. Huang} et al., J. Algebr. Comb. 57, No. 2, 403--420 (2023; Zbl 1512.05410) Full Text: DOI arXiv
Xia, Zheng-Jiang; Lee, Jae-Ho; Koolen, Jack H. A new feasibility condition for the AT4 family. (English) Zbl 1518.05216 Electron. J. Comb. 30, No. 2, Research Paper P2.7, 14 p. (2023). Reviewer: Djoko Suprijanto (Bandung) MSC: 05E30 PDF BibTeX XML Cite \textit{Z.-J. Xia} et al., Electron. J. Comb. 30, No. 2, Research Paper P2.7, 14 p. (2023; Zbl 1518.05216) Full Text: DOI arXiv
Tian, Yi; Kang, Na; Wu, Weili; Du, Ding-Zhu; Gao, Suogang Distance magic labeling of the halved folded \(n\)-cube. (English) Zbl 1516.90074 J. Comb. Optim. 45, No. 2, Paper No. 75, 13 p. (2023). MSC: 90C27 90C90 PDF BibTeX XML Cite \textit{Y. Tian} et al., J. Comb. Optim. 45, No. 2, Paper No. 75, 13 p. (2023; Zbl 1516.90074) Full Text: DOI
Terwilliger, Paul Tridiagonal pairs, alternating elements, and distance-regular graphs. (English) Zbl 07659810 J. Comb. Theory, Ser. A 196, Article ID 105724, 41 p. (2023). MSC: 17B37 05E10 05E30 PDF BibTeX XML Cite \textit{P. Terwilliger}, J. Comb. Theory, Ser. A 196, Article ID 105724, 41 p. (2023; Zbl 07659810) Full Text: DOI arXiv
Cioabă, Sebastian M.; Gupta, Himanshu; Ihringer, Ferdinand; Kurihara, Hirotake The least Euclidean distortion constant of a distance-regular graph. (English) Zbl 1504.05077 Discrete Appl. Math. 325, 212-225 (2023). MSC: 05C12 05C60 05E30 05C50 15A18 PDF BibTeX XML Cite \textit{S. M. Cioabă} et al., Discrete Appl. Math. 325, 212--225 (2023; Zbl 1504.05077) Full Text: DOI arXiv
Makhnev, Aleksandr Alekseevich; Belousov, Ivan Nikolaevich On distance-regular graphs of diameter 3 with eigenvalue 0. (Russian) Zbl 07773073 Mat. Tr. 25, No. 2, 162-173 (2022). MSC: 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{I. N. Belousov}, Mat. Tr. 25, No. 2, 162--173 (2022; Zbl 07773073) Full Text: DOI MNR
Tian, Yi; Kang, Na; Wu, Weili; Du, Ding-Zhu; Gao, Suogang Distance magic labeling of the halved folded \(n\)-cube. (English) Zbl 1522.68427 Ni, Qiufen (ed.) et al., Algorithmic aspects in information and management. 16th international conference, AAIM 2022, Guangzhou, China, August 13–14, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13513, 327-338 (2022). MSC: 68R10 05C12 05C78 PDF BibTeX XML Cite \textit{Y. Tian} et al., Lect. Notes Comput. Sci. 13513, 327--338 (2022; Zbl 1522.68427) 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 PDF BibTeX XML Cite \textit{L. Yu. Tsiovkina}, Ural Math. J. 8, No. 2, 162--176 (2022; Zbl 1511.05240) Full Text: DOI MNR
Makhnev, Alexander A.; Belousov, Ivan N.; Efimov, Konstantin S. On distance-regular graphs of diameter 3 with eigenvalue \(\theta= 1\). (English) Zbl 1516.05055 Ural Math. J. 8, No. 2, 127-132 (2022). Reviewer: Heping Zhang (Lanzhou) MSC: 05C12 05C50 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Ural Math. J. 8, No. 2, 127--132 (2022; Zbl 1516.05055) Full Text: DOI MNR
Makhnev, A. A.; Guo, Wenbin; Efimov, K. S. The Koolen-Park boundary and distance-regular graphs without \(m\)-claws. (English. Russian original) Zbl 1508.05177 Russ. Math. 66, No. 9, 54-57 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 64-69 (2022). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Russ. Math. 66, No. 9, 54--57 (2022; Zbl 1508.05177); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 64--69 (2022) Full Text: DOI
Makhnev, A. A.; Guo, Wenbin; Efimov, K. S. Distance-regular graphs of diameter 3 without triangles with \(c_2=2\). (English) Zbl 1506.05223 Commun. Math. Stat. 10, No. 4, 785-792 (2022). Reviewer: Djoko Suprijanto (Bandung) MSC: 05E30 05C50 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Commun. Math. Stat. 10, No. 4, 785--792 (2022; Zbl 1506.05223) Full Text: DOI
Makhnev, A. A.; Paduchikh, D. V. Inverse problems in the class of distance-regular graphs of diameter 4. (English. Russian original) Zbl 1504.05305 Proc. Steklov Inst. Math. 317, Suppl. 1, S121-S129 (2022); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 1, 199-208 (2022). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 317, S121--S129 (2022; Zbl 1504.05305); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 28, No. 1, 199--208 (2022) Full Text: DOI
Makhnev, Aleksandr Alekseevich; Wan, Zhigang On \(Q\)-polynomial Shilla graphs with \(b=6\). (Russian. English summary) Zbl 07598653 Vladikavkaz. Mat. Zh. 24, No. 2, 117-123 (2022). MSC: 05C12 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{Z. Wan}, Vladikavkaz. Mat. Zh. 24, No. 2, 117--123 (2022; Zbl 07598653) Full Text: DOI MNR
DeVille, Lee The generalized distance spectrum of a graph and applications. (English) Zbl 1497.05145 Linear Multilinear Algebra 70, No. 13, 2425-2458 (2022). MSC: 05C50 92D25 60J10 60J22 60J27 PDF BibTeX XML Cite \textit{L. DeVille}, Linear Multilinear Algebra 70, No. 13, 2425--2458 (2022; Zbl 1497.05145) Full Text: DOI arXiv
Tsiovkina, Ludmila Yur’evna On a class of vertex-transitive distance-regular covers of complete graphs. II. (Russian. English summary) Zbl 1495.05023 Sib. Èlektron. Mat. Izv. 19, No. 1, 348-359 (2022). MSC: 05B25 05E18 PDF BibTeX XML Cite \textit{L. Y. Tsiovkina}, Sib. Èlektron. Mat. Izv. 19, No. 1, 348--359 (2022; Zbl 1495.05023) Full Text: DOI
Kang, Na; Chen, Sibo; Li, Zengti; Hou, Lihang \(D\)-magic labelings of the halved \(n\)-cube. (English) Zbl 1495.05293 Discrete Math. 345, No. 11, Article ID 113044, 8 p. (2022). MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{N. Kang} et al., Discrete Math. 345, No. 11, Article ID 113044, 8 p. (2022; Zbl 1495.05293) Full Text: DOI
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 PDF BibTeX XML Cite \textit{L. Yu. Tsiovkina}, J. Comb. Theory, Ser. A 191, Article ID 105646, 33 p. (2022; Zbl 1507.05110) Full Text: DOI
Neumaier, Arnol; Penjić, Safet On bounding the diameter of a distance-regular graph. (English) Zbl 1513.05361 Combinatorica 42, No. 2, 237-251 (2022). Reviewer: Mirko Lepović (Kragujevac) MSC: 05E30 05C12 05C62 PDF BibTeX XML Cite \textit{A. Neumaier} and \textit{S. Penjić}, Combinatorica 42, No. 2, 237--251 (2022; Zbl 1513.05361) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. H. Koolen} et al., Discrete Math. 345, No. 10, Article ID 112990, 20 p. (2022; Zbl 1491.05202) Full Text: DOI arXiv
Huang, Xueyi; Das, Kinkar Chandra On distance-regular Cayley graphs of generalized dicyclic groups. (English) Zbl 1491.05197 Discrete Math. 345, No. 10, Article ID 112984, 6 p. (2022). MSC: 05E18 05C25 05C12 05E30 PDF BibTeX XML Cite \textit{X. Huang} and \textit{K. C. Das}, Discrete Math. 345, No. 10, Article ID 112984, 6 p. (2022; Zbl 1491.05197) Full Text: DOI arXiv
Sumalroj, Supalak; Worawannotai, Chalermpong The nonexistence of a distance-regular graph with intersection array \(\{75,64,22,1;1,2,64,75\}\). (English) Zbl 1492.05037 Australas. J. Comb. 82, Part 1, 115-118 (2022). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C12 05E30 PDF BibTeX XML Cite \textit{S. Sumalroj} and \textit{C. Worawannotai}, Australas. J. Comb. 82, Part 1, 115--118 (2022; Zbl 1492.05037) Full Text: Link
Li, Jing; Wang, Yan; Hou, Bo; Gao, Weidong; Gao, Suogang Non-bipartite distance-regular graphs with diameters 5, 6 and a smallest eigenvalue. (English) Zbl 1487.05080 Graphs Comb. 38, No. 3, Paper No. 55, 14 p. (2022). Reviewer: Mirko Lepović (Kragujevac) MSC: 05C12 05C50 05C75 05E30 PDF BibTeX XML Cite \textit{J. Li} et al., Graphs Comb. 38, No. 3, Paper No. 55, 14 p. (2022; Zbl 1487.05080) Full Text: DOI
Jazaeri, Mojtaba Distance-regular graphs admitting a perfect 1-code. (English) Zbl 1484.05207 Discrete Math. 345, No. 5, Article ID 112787, 11 p. (2022). MSC: 05E30 05C12 94B25 PDF BibTeX XML Cite \textit{M. Jazaeri}, Discrete Math. 345, No. 5, Article ID 112787, 11 p. (2022; Zbl 1484.05207) Full Text: DOI
Ghorbani, Ebrahim; Koohestani, Masoumeh Spectral classes of strongly-regular and distance-regular graphs. (English) Zbl 1493.05294 Linear Algebra Appl. 641, 182-199 (2022). Reviewer: Andrea Svob (Rijeka) MSC: 05E30 05C50 05C75 PDF BibTeX XML Cite \textit{E. Ghorbani} and \textit{M. Koohestani}, Linear Algebra Appl. 641, 182--199 (2022; Zbl 1493.05294) Full Text: DOI
Neumaier, Arnold; Penjić, Safet A unified view of inequalities for distance-regular graphs. I. (English) Zbl 1483.05204 J. Comb. Theory, Ser. B 154, 392-439 (2022). MSC: 05E30 05C75 05C12 05C25 05-02 PDF BibTeX XML Cite \textit{A. Neumaier} and \textit{S. Penjić}, J. Comb. Theory, Ser. B 154, 392--439 (2022; Zbl 1483.05204) Full Text: DOI
Howlader, Aditi; Panigrahi, Pratima On the distance spectrum of minimal cages and associated distance biregular graphs. (English) Zbl 1480.05044 Linear Algebra Appl. 636, 115-133 (2022). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{A. Howlader} and \textit{P. Panigrahi}, Linear Algebra Appl. 636, 115--133 (2022; Zbl 1480.05044) Full Text: DOI arXiv
Zhang, Yuanjiang; Liang, Xiaoye; Koolen, Jack H. The 2-partially distance-regular graphs such that their second largest local eigenvalues are at most one. (English) Zbl 1480.05049 Discrete Math. 345, No. 3, Article ID 112749, 12 p. (2022). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Discrete Math. 345, No. 3, Article ID 112749, 12 p. (2022; Zbl 1480.05049) Full Text: DOI
Makhnev, Aleksandr Alekseevich; Bitkina, Viktoriya Vasil’evna; Gutnova, Alina Kazbekovna Distance-regular graphs with intersection arrays \(\{7,6,6;1,1,2\}\) and \(\{42,30,2;1,10,36\}\) do not exist. (Russian. English summary) Zbl 07597534 Vladikavkaz. Mat. Zh. 23, No. 4, 68-76 (2021). MSC: 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Vladikavkaz. Mat. Zh. 23, No. 4, 68--76 (2021; Zbl 07597534) Full Text: DOI MNR
Makhnev, Aleksandr Aleksandrovich; Nirova, Marina Sefovna Distance-regular graph with intersection array \(\{140,108,18;1,18,105\}\) does not exist. (Russian. English summary) Zbl 07597512 Vladikavkaz. Mat. Zh. 23, No. 2, 65-69 (2021). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. S. Nirova}, Vladikavkaz. Mat. Zh. 23, No. 2, 65--69 (2021; Zbl 07597512) Full Text: DOI MNR
Makhnev, Aleksandr Alekseevich; Golubyatnikov, Mikhaĭl Petrovich On nonexistence of distance regular graphs with the intersection array \(\{53,40,28,16;1,4,10,28\}\). (Russian. English summary) Zbl 1496.05041 Diskretn. Anal. Issled. Oper. 28, No. 3, 38-48 (2021). MSC: 05C12 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Diskretn. Anal. Issled. Oper. 28, No. 3, 38--48 (2021; Zbl 1496.05041) Full Text: DOI MNR
Mahnev, A. A.; Belousov, I. N.; Zhen, Jui Cai Some Schill graphs with \(b=4\) do not exist. (Russian. English summary) Zbl 1491.05203 Izv. Gomel. Gos. Univ. Im. F. Skoriny 2021, No. 6(129), 110-114 (2021). Reviewer: Mikhail Kabenyuk (Kemerovo) MSC: 05E30 05C12 05C60 05C25 PDF BibTeX XML Cite \textit{A. A. Mahnev} et al., Izv. Gomel. Gos. Univ. Im. F. Skoriny 2021, No. 6(129), 110--114 (2021; Zbl 1491.05203)
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 PDF BibTeX XML Cite \textit{L. Yu. Tsiovkina}, Ural Math. J. 7, No. 2, 136--158 (2021; Zbl 1486.05321) Full Text: DOI MNR
Makhnev, Alexander A.; Belousov, Ivan N. Shilla graphs with \(b = 5\) and \(b = 6\). (English) Zbl 1486.05322 Ural Math. J. 7, No. 2, 51-58 (2021). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{I. N. Belousov}, Ural Math. J. 7, No. 2, 51--58 (2021; Zbl 1486.05322) Full Text: DOI MNR
Koohestani, Masoumeh; Obata, Nobuaki; Tanaka, Hajime Scaling limits for the Gibbs states on distance-regular graphs with classical parameters. (English) Zbl 1492.46057 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 104, 22 p. (2021). Reviewer: Alexander Belton (Plymouth) MSC: 46L53 60F05 05E30 PDF BibTeX XML Cite \textit{M. Koohestani} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 104, 22 p. (2021; Zbl 1492.46057) Full Text: DOI arXiv
Makhnev, Alexandr A.; Nirova, Marina S. On distance-regular graphs with \(c_2 = 2\). (English. Russian original) Zbl 1514.05052 Discrete Math. Appl. 31, No. 6, 397-401 (2021); translation from Diskretn. Mat. 32, No. 1, 74-80 (2020). MSC: 05C12 05C25 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. S. Nirova}, Discrete Math. Appl. 31, No. 6, 397--401 (2021; Zbl 1514.05052); translation from Diskretn. Mat. 32, No. 1, 74--80 (2020) Full Text: DOI
Morales, John Vincent S.; Palma, Tessie M. On quantum adjacency algebras of Doob graphs and their irreducible modules. (English) Zbl 1479.05369 J. Algebr. Comb. 54, No. 4, 979-998 (2021). MSC: 05E30 05C50 81S25 15A04 PDF BibTeX XML Cite \textit{J. V. S. Morales} and \textit{T. M. Palma}, J. Algebr. Comb. 54, No. 4, 979--998 (2021; Zbl 1479.05369) Full Text: DOI
Makhnev, Aleksandr Alekseevich; Nirova, Marina Sefovna Distance-regular Terwilliger graphs with intersection arrays \(\{50,42,1;1,2,50\}\) and \(\{50,42,9;1,2,42\}\) do not exist. (Russian. English summary) Zbl 1475.05054 Sib. Èlektron. Mat. Izv. 18, No. 2, 1075-1082 (2021). MSC: 05C12 05E30 05C75 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. S. Nirova}, Sib. Èlektron. Mat. Izv. 18, No. 2, 1075--1082 (2021; Zbl 1475.05054) Full Text: DOI
Shi, Minjia; Rioul, Olivier; Solé, Patrick Designs in finite metric spaces: a probabilistic approach. (English) Zbl 1479.05371 Graphs Comb. 37, No. 5, 1653-1667 (2021). MSC: 05E30 05C10 05B30 05E18 42C05 PDF BibTeX XML Cite \textit{M. Shi} et al., Graphs Comb. 37, No. 5, 1653--1667 (2021; Zbl 1479.05371) Full Text: DOI arXiv
Makhnev, A. A.; Belousov, I. N.; Golubyatnikov, M. P.; Nirova, M. S. Three infinite families of Shilla graphs do not exist. (English. Russian original) Zbl 1477.05065 Dokl. Math. 103, No. 3, 133-138 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 45-50 (2021). MSC: 05C12 05C50 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Dokl. Math. 103, No. 3, 133--138 (2021; Zbl 1477.05065); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 498, 45--50 (2021) Full Text: DOI
Akbari, Saieed; Haemers, Willem H.; Hosseinzadeh, Mohammad Ali; Kabanov, Vladislav V.; Konstantinova, Elena V.; Shalaginov, Leonid Spectra of strongly Deza graphs. (English) Zbl 1479.05188 Discrete Math. 344, No. 12, Article ID 112622, 11 p. (2021). Reviewer: Sebastian Cioaba (Newark) MSC: 05C50 05E30 05C51 PDF BibTeX XML Cite \textit{S. Akbari} et al., Discrete Math. 344, No. 12, Article ID 112622, 11 p. (2021; Zbl 1479.05188) Full Text: DOI arXiv
Kivva, Bohdan A characterization of Johnson and Hamming graphs and proof of Babai’s conjecture. (English) Zbl 1473.05325 J. Comb. Theory, Ser. B 151, 339-374 (2021). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{B. Kivva}, J. Comb. Theory, Ser. B 151, 339--374 (2021; Zbl 1473.05325) 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 PDF BibTeX XML Cite \textit{L. Y. Tsiovkina}, Sib. Èlektron. Mat. Izv. 18, No. 2, 758--781 (2021; Zbl 1468.05024) Full Text: DOI
Belousov, I. N.; Makhnev, A. A. Inverse problems in the theory of distance-regular graphs: dual 2-designs. (English. Russian original) Zbl 1469.05050 Proc. Steklov Inst. Math. 313, Suppl. 1, S14-S20 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 4, 44-51 (2019). MSC: 05C12 05E30 05B30 PDF BibTeX XML Cite \textit{I. N. Belousov} and \textit{A. A. Makhnev}, Proc. Steklov Inst. Math. 313, S14--S20 (2021; Zbl 1469.05050); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 25, No. 4, 44--51 (2019) Full Text: DOI
Ganie, Hilal A.; Pirzada, S.; Rather, Bilal A.; Shaban, Rezwan Ul On Laplacian eigenvalues of graphs and Brouwer’s conjecture. (English) Zbl 1469.05103 J. Ramanujan Math. Soc. 36, No. 1, 13-21 (2021). MSC: 05C50 05C30 05E30 PDF BibTeX XML Cite \textit{H. A. Ganie} et al., J. Ramanujan Math. Soc. 36, No. 1, 13--21 (2021; Zbl 1469.05103) Full Text: Link
Koolen, Jack H.; Cao, Meng-Yue; Yang, Qianqian Recent progress on graphs with fixed smallest adjacency eigenvalue: a survey. (English) Zbl 1469.05106 Graphs Comb. 37, No. 4, 1139-1178 (2021). MSC: 05C50 05C22 05C75 05E30 05D99 11H06 PDF BibTeX XML Cite \textit{J. H. Koolen} et al., Graphs Comb. 37, No. 4, 1139--1178 (2021; Zbl 1469.05106) Full Text: DOI arXiv
Makhnev, A. A. Automorphisms of a distance regular graph with intersection array \(\{21,18,12,4;1,1,6,21\}\). (English. Russian original) Zbl 07369698 Math. Notes 109, No. 2, 247-255 (2021); translation from Mat. Zametki 109, No. 2, 247-256 (2021). MSC: 20Dxx 05-XX 05Cxx 20Dxx 52-XX PDF BibTeX XML Cite \textit{A. A. Makhnev}, Math. Notes 109, No. 2, 247--255 (2021; Zbl 07369698); translation from Mat. Zametki 109, No. 2, 247--256 (2021) Full Text: DOI
Tian, Yi; Hou, Lihang; Hou, Bo; Gao, Suogang \(D\)-magic labelings of the folded \(n\)-cube. (English) Zbl 1469.05152 Discrete Math. 344, No. 9, Article ID 112520, 7 p. (2021). Reviewer: P. Jeyanthi (Tiruchendur) MSC: 05C78 05C12 PDF BibTeX XML Cite \textit{Y. Tian} et al., Discrete Math. 344, No. 9, Article ID 112520, 7 p. (2021; Zbl 1469.05152) Full Text: DOI
Kivva, Bohdan On the spectral gap and the automorphism group of distance-regular graphs. (English) Zbl 07360921 J. Comb. Theory, Ser. B 149, 161-197 (2021). MSC: 20Bxx 20Dxx 05Bxx PDF BibTeX XML Cite \textit{B. Kivva}, J. Comb. Theory, Ser. B 149, 161--197 (2021; Zbl 07360921) Full Text: DOI arXiv
MacLean, Mark S.; Penjić, Safet A combinatorial basis for Terwilliger algebra modules of a bipartite distance-regular graph. (English) Zbl 1466.05226 Discrete Math. 344, No. 7, Article ID 112393, 17 p. (2021). MSC: 05E30 05C12 33C80 PDF BibTeX XML Cite \textit{M. S. MacLean} and \textit{S. Penjić}, Discrete Math. 344, No. 7, Article ID 112393, 17 p. (2021; Zbl 1466.05226) Full Text: DOI
Azimi, A.; Bapat, R. B.; Farrokhi D. G., M. Resistance distance of blowups of trees. (English) Zbl 1466.05032 Discrete Math. 344, No. 7, Article ID 112387, 11 p. (2021). MSC: 05C05 05C12 15A09 PDF BibTeX XML Cite \textit{A. Azimi} et al., Discrete Math. 344, No. 7, Article ID 112387, 11 p. (2021; Zbl 1466.05032) Full Text: DOI
Huang, Jia Norton algebras of the Hamming graphs via linear characters. (English) Zbl 1465.05078 Electron. J. Comb. 28, No. 2, Research Paper P2.30, 36 p. (2021). MSC: 05C25 05A15 05E30 17D99 05C12 PDF BibTeX XML Cite \textit{J. Huang}, Electron. J. Comb. 28, No. 2, Research Paper P2.30, 36 p. (2021; Zbl 1465.05078) Full Text: DOI arXiv
Renteln, Paul On the paper “Some constraints on the missing Moore graph”. (English) Zbl 07352025 Australas. J. Comb. 79, Part 1, 193-194 (2021). MSC: 00Bxx 05C50 05B20 PDF BibTeX XML Cite \textit{P. Renteln}, Australas. J. Comb. 79, Part 1, 193--194 (2021; Zbl 07352025) Full Text: Link
Terwilliger, Paul Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra. (English) Zbl 1481.17025 J. Pure Appl. Algebra 225, No. 8, Article ID 106632, 33 p. (2021). MSC: 17B37 15A21 PDF BibTeX XML Cite \textit{P. Terwilliger}, J. Pure Appl. Algebra 225, No. 8, Article ID 106632, 33 p. (2021; Zbl 1481.17025) Full Text: DOI arXiv
Martin, William J. Scaffolds: a graph-theoretic tool for tensor computations related to Bose-Mesner algebras. (English) Zbl 1462.05362 Linear Algebra Appl. 619, 50-106 (2021). MSC: 05E30 15A72 16S50 05C83 05C90 PDF BibTeX XML Cite \textit{W. J. Martin}, Linear Algebra Appl. 619, 50--106 (2021; Zbl 1462.05362) Full Text: DOI
Hanson, Edward How to recognize a Leonard pair. (English) Zbl 1468.15008 Linear Multilinear Algebra 69, No. 1, 177-192 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A04 15A20 PDF BibTeX XML Cite \textit{E. Hanson}, Linear Multilinear Algebra 69, No. 1, 177--192 (2021; Zbl 1468.15008) Full Text: DOI arXiv
Taniguchi, Hiroaki Distance regular graphs arising from dimensional dual hyperovals. (English) Zbl 1479.51009 Finite Fields Appl. 69, Article ID 101776, 15 p. (2021). Reviewer: Daniele Bartoli (Perugia) MSC: 51E20 11T71 20B25 05E18 05E30 PDF BibTeX XML Cite \textit{H. Taniguchi}, Finite Fields Appl. 69, Article ID 101776, 15 p. (2021; Zbl 1479.51009) Full Text: DOI
Makhnev, A. A.; Belousov, I. N.; Paduchikh, D. V. Inverse problems of graph theory: graphs without triangles. (Russian. English summary) Zbl 1453.05029 Sib. Èlektron. Mat. Izv. 18, No. 1, 27-42 (2021). MSC: 05C12 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Sib. Èlektron. Mat. Izv. 18, No. 1, 27--42 (2021; Zbl 1453.05029) Full Text: DOI
Cioabă, S. M.; Koolen, J. H.; Terwilliger, P. Connectivity concerning the last two subconstituents of a \(Q\)-polynomial distance-regular graph. (English) Zbl 1448.05061 J. Comb. Theory, Ser. A 177, Article ID 105325, 6 p. (2021). MSC: 05C12 05C40 05E30 PDF BibTeX XML Cite \textit{S. M. Cioabă} et al., J. Comb. Theory, Ser. A 177, Article ID 105325, 6 p. (2021; Zbl 1448.05061) Full Text: DOI arXiv
Nomura, Kazumasa; Terwilliger, Paul Leonard pairs, spin models, and distance-regular graphs. (English) Zbl 1448.05064 J. Comb. Theory, Ser. A 177, Article ID 105312, 59 p. (2021). MSC: 05C12 46L80 PDF BibTeX XML Cite \textit{K. Nomura} and \textit{P. Terwilliger}, J. Comb. Theory, Ser. A 177, Article ID 105312, 59 p. (2021; Zbl 1448.05064) Full Text: DOI arXiv
Lu, Pengli; Liu, Wenzhi The distance Laplacian and distance signless Laplacian spectrum of some graphs. (English) Zbl 1499.05377 Ars Comb. 152, 121-128 (2020). MSC: 05C50 05C12 PDF BibTeX XML Cite \textit{P. Lu} and \textit{W. Liu}, Ars Comb. 152, 121--128 (2020; Zbl 1499.05377)
Makhnev, A. A. Antipodal Krein graphs and distance-regular graphs close to them. (English. Russian original) Zbl 1477.05064 Dokl. Math. 101, No. 3, 218-220 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 54-57 (2020). MSC: 05C12 05C75 PDF BibTeX XML Cite \textit{A. A. Makhnev}, Dokl. Math. 101, No. 3, 218--220 (2020; Zbl 1477.05064); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 492, 54--57 (2020) Full Text: DOI
Ustimenko, V. On small world non-Sunada twins and cellular Voronoi diagrams. (English) Zbl 1473.05191 Algebra Discrete Math. 30, No. 1, 118-142 (2020). MSC: 05C50 05C82 51E24 PDF BibTeX XML Cite \textit{V. Ustimenko}, Algebra Discrete Math. 30, No. 1, 118--142 (2020; Zbl 1473.05191) Full Text: DOI
Fiol, Miquel Àngel; Penjic, Safet On a version of the spectral excess theorem. (English) Zbl 1468.05149 Electron. J. Graph Theory Appl. 8, No. 2, 391-400 (2020). MSC: 05C50 05E30 PDF BibTeX XML Cite \textit{M. À. Fiol} and \textit{S. Penjic}, Electron. J. Graph Theory Appl. 8, No. 2, 391--400 (2020; Zbl 1468.05149) Full Text: DOI arXiv
Simanjuntak, Rinovia; Anuwiksa, Palton \(D\)-magic strongly regular graphs. (English) Zbl 1468.05064 AKCE Int. J. Graphs Comb. 17, No. 3, 995-999 (2020). MSC: 05C12 05C78 PDF BibTeX XML Cite \textit{R. Simanjuntak} and \textit{P. Anuwiksa}, AKCE Int. J. Graphs Comb. 17, No. 3, 995--999 (2020; Zbl 1468.05064) Full Text: DOI arXiv
Svob, Andrea Transitive distance-regular graphs from linear groups \(L(3,q), q = 2,3,4,5\). (English) Zbl 1474.05389 Trans. Comb. 9, No. 1, 49-60 (2020). MSC: 05E30 05E18 94B05 PDF BibTeX XML Cite \textit{A. Svob}, Trans. Comb. 9, No. 1, 49--60 (2020; Zbl 1474.05389) Full Text: DOI
Maclean, Mark S.; Miklavič, Štefko On a certain class of 1-thin distance-regular graphs. (English) Zbl 1464.05360 Ars Math. Contemp. 18, No. 2, 187-210 (2020). MSC: 05E30 PDF BibTeX XML Cite \textit{M. S. Maclean} and \textit{Š. Miklavič}, Ars Math. Contemp. 18, No. 2, 187--210 (2020; Zbl 1464.05360) Full Text: DOI
Efimov, Konstantin S.; Makhnev, Alexander A. Distance-regular graph with intersection array \(\{27, 20, 7; 1, 4, 21\}\) does not exist. (English) Zbl 1462.05119 Ural Math. J. 6, No. 2, 63-67 (2020). MSC: 05C12 05E30 05C50 PDF BibTeX XML Cite \textit{K. S. Efimov} and \textit{A. A. Makhnev}, Ural Math. J. 6, No. 2, 63--67 (2020; Zbl 1462.05119) Full Text: DOI MNR
Houm, Lihang; Liu, Wen A class of bipartite and antipodal graphs and their uniform posets. (English) Zbl 1461.05241 J. Comb. Math. Comb. Comput. 113, 109-118 (2020). MSC: 05E30 06A07 05C12 PDF BibTeX XML Cite \textit{L. Houm} and \textit{W. Liu}, J. Comb. Math. Comb. Comput. 113, 109--118 (2020; Zbl 1461.05241)
Makhnev, Aleksandr Alekseevich; Bitkina, Viktoriya Vasil’evna; Gutnova, Alina Kazbekovna Automorphisms of a distance regular graph with intersection array \(\{48,35,9;1,7,40\}\). (Russian. English summary) Zbl 1463.05542 Vladikavkaz. Mat. Zh. 22, No. 2, 24-33 (2020). MSC: 05E30 05C25 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Vladikavkaz. Mat. Zh. 22, No. 2, 24--33 (2020; Zbl 1463.05542) Full Text: DOI MNR
Makhnev, A. A.; Golubyatnikov, M. P. Automorphisms of a graph with intersection array \(\{nm - 1, nm - n + m - 1, n - m + 1;1, 1, nm - n + m - 1\}\). (English. Russian original) Zbl 1508.05176 Algebra Logic 59, No. 5, 385-394 (2020); translation from Algebra Logika 59, No. 5, 567-581 (2020). MSC: 05E30 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Algebra Logic 59, No. 5, 385--394 (2020; Zbl 1508.05176); translation from Algebra Logika 59, No. 5, 567--581 (2020) Full Text: DOI
Makhnev, A. A.; Paduchikh, D. V. The largest Moore graph and a distance-regular graph with intersection array \(\{55, 54, 2; 1, 1, 54\}\). (English. Russian original) Zbl 1458.05056 Algebra Logic 59, No. 4, 322-327 (2020); translation from Algebra Logika 59, No. 4, 471-479 (2020). MSC: 05C12 05C25 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Algebra Logic 59, No. 4, 322--327 (2020; Zbl 1458.05056); translation from Algebra Logika 59, No. 4, 471--479 (2020) Full Text: DOI
Miklavič, Štefko; Šparl, Primož On minimal distance-regular Cayley graphs of generalized dihedral groups. (English) Zbl 1453.05046 Electron. J. Comb. 27, No. 4, Research Paper P4.33, 16 p. (2020). MSC: 05C25 05C12 05E18 05E30 PDF BibTeX XML Cite \textit{Š. Miklavič} and \textit{P. Šparl}, Electron. J. Comb. 27, No. 4, Research Paper P4.33, 16 p. (2020; Zbl 1453.05046) Full Text: DOI
Diego, Victor; Fàbrega, Josep; Fiol, Miquel Àngel Equivalent characterizations of the spectra of graphs and applications to measures of distance-regularity. (English) Zbl 1448.05127 Electron. J. Linear Algebra 36, 629-644 (2020). MSC: 05C50 05C12 05E30 PDF BibTeX XML Cite \textit{V. Diego} et al., Electron. J. Linear Algebra 36, 629--644 (2020; Zbl 1448.05127) Full Text: arXiv Link
Makhnev, A. A.; Isakova, M. M.; Tokbaeva, A. A. The nonexistence small \(Q\)-polynomial graphs of type (III). (Russian. English summary) Zbl 1443.05093 Sib. Èlektron. Mat. Izv. 17, 1270-1279 (2020). MSC: 05C25 PDF BibTeX XML Cite \textit{A. A. Makhnev} et al., Sib. Èlektron. Mat. Izv. 17, 1270--1279 (2020; Zbl 1443.05093) 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 PDF BibTeX XML Cite \textit{P. Renteln}, Australas. J. Comb. 77, Part 3, 373--382 (2020; Zbl 1444.05093) Full Text: Link
Gyürki, Štefan; Klin, Mikhail; Ziv-Av, Matan The Paulus-Rozenfeld-Thompson graph on 26 vertices revisited and related combinatorial structures. (English) Zbl 1442.05248 Jones, Gareth A. (ed.) et al., Isomorphisms, symmetry and computations in algebraic graph theory. Selected papers based on the presentations at the workshop on algebraic graph theory, Pilsen, Czech Republic, October 3–7, 2016. Cham: Springer. Springer Proc. Math. Stat. 305, 73-154 (2020). MSC: 05E30 05B05 62K10 PDF BibTeX XML Cite \textit{Š. Gyürki} et al., Springer Proc. Math. Stat. 305, 73--154 (2020; Zbl 1442.05248) Full Text: DOI
Crnković, Dean; Rukavina, Sanja; Švob, Andrea On some distance-regular graphs with many vertices. (English) Zbl 1441.05246 J. Algebr. Comb. 51, No. 4, 641-652 (2020). MSC: 05E30 05E18 05C12 PDF BibTeX XML Cite \textit{D. Crnković} et al., J. Algebr. Comb. 51, No. 4, 641--652 (2020; Zbl 1441.05246) Full Text: DOI arXiv
Tsiovkina, Lyudmila Yur’evna Arc-transitive groups of automorphisms of antipodal distance-regular graphs of diameter 3 in affine case. (Russian. English summary) Zbl 1435.20006 Sib. Èlektron. Mat. Izv. 17, 445-495 (2020). MSC: 20B25 05E18 PDF BibTeX XML Cite \textit{L. Y. Tsiovkina}, Sib. Èlektron. Mat. Izv. 17, 445--495 (2020; Zbl 1435.20006)
Qiao, Zhi; Koolen, Jack H.; Markowsky, Greg On the Cheeger constant for distance-regular graphs. (English) Zbl 1435.05134 J. Comb. Theory, Ser. A 173, Article ID 105227, 20 p. (2020). MSC: 05C50 05C12 05E30 PDF BibTeX XML Cite \textit{Z. Qiao} et al., J. Comb. Theory, Ser. A 173, Article ID 105227, 20 p. (2020; Zbl 1435.05134) Full Text: DOI arXiv
Makhnev, Aleksandr Alekseevich; Tokbaeva, Al’bina Aniuarovna On a distance-regular graph with an intersection array \(\{35,28,6;1,2,30\}\). (Russian. English summary) Zbl 1474.05116 Vladikavkaz. Mat. Zh. 21, No. 2, 27-37 (2019). MSC: 05C12 05C51 05C10 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{A. A. Tokbaeva}, Vladikavkaz. Mat. Zh. 21, No. 2, 27--37 (2019; Zbl 1474.05116) Full Text: DOI MNR
Makhnev, A. A.; Paduchikh, D. V. Inverse problems in the theory of distance-regular graphs. (English. Russian original) Zbl 1441.05247 Proc. Steklov Inst. Math. 307, Suppl. 1, S88-S98 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 3, 133-144 (2018). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 307, S88--S98 (2019; Zbl 1441.05247); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 3, 133--144 (2018) Full Text: DOI
Belousov, I. N. Shilla distance-regular graphs with \(b_2 = sc_2\). (English. Russian original) Zbl 1478.05036 Proc. Steklov Inst. Math. 307, Suppl. 1, S23-S33 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 3, 16-26 (2018). MSC: 05C12 05C60 PDF BibTeX XML Cite \textit{I. N. Belousov}, Proc. Steklov Inst. Math. 307, S23--S33 (2019; Zbl 1478.05036); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 3, 16--26 (2018) Full Text: DOI
Makhnev, A. A.; Golubyatnikov, M. P. A Shilla graph with intersection array \(\{12, 10, 2; 1, 2, 8\}\) does not exist. (English. Russian original) Zbl 1439.05070 Math. Notes 106, No. 5, 849-853 (2019); translation from Mat. Zametki 106, No. 5, 797-800 (2019). MSC: 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{M. P. Golubyatnikov}, Math. Notes 106, No. 5, 849--853 (2019; Zbl 1439.05070); translation from Mat. Zametki 106, No. 5, 797--800 (2019) Full Text: DOI
Van Dam, Edwin R.; Jazaeri, Mojtaba Distance-regular Cayley graphs with small valency. (English) Zbl 1439.05233 Ars Math. Contemp. 17, No. 1, 203-222 (2019). Reviewer: Mikhail Kabenyuk (Kemerovo) MSC: 05E30 05C25 05C12 20B25 PDF BibTeX XML Cite \textit{E. R. Van Dam} and \textit{M. Jazaeri}, Ars Math. Contemp. 17, No. 1, 203--222 (2019; Zbl 1439.05233) Full Text: DOI arXiv
Sumalroj, Supalak A diagram associated with the subconstituent algebra of a distance-regular graph. (English) Zbl 1433.05338 Ars Math. Contemp. 17, No. 1, 185-202 (2019). MSC: 05E30 05C12 PDF BibTeX XML Cite \textit{S. Sumalroj}, Ars Math. Contemp. 17, No. 1, 185--202 (2019; Zbl 1433.05338) Full Text: DOI arXiv
Bang, Sejeong Geometric antipodal distance-regular graphs with a given smallest eigenvalue. (English) Zbl 1431.05049 Graphs Comb. 35, No. 6, 1387-1399 (2019). MSC: 05C12 05C50 05C62 05E30 PDF BibTeX XML Cite \textit{S. Bang}, Graphs Comb. 35, No. 6, 1387--1399 (2019; Zbl 1431.05049) Full Text: DOI
Yoshie, Yusuke Periodicities of Grover walks on distance-regular graphs. (English) Zbl 1431.05138 Graphs Comb. 35, No. 6, 1305-1321 (2019). MSC: 05C81 05C50 05E30 58J50 81Q35 81S25 PDF BibTeX XML Cite \textit{Y. Yoshie}, Graphs Comb. 35, No. 6, 1305--1321 (2019; Zbl 1431.05138) Full Text: DOI arXiv
Makhnev, A. A.; Paduchikh, D. V. Automorphisms of a distance-regular graph with intersection array \(\{176, 135, 32, 1; 1, 16, 135, 176\}\). (English. Russian original) Zbl 1430.05138 Proc. Steklov Inst. Math. 305, Suppl. 1, S102-S113 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 173-184 (2018). MSC: 05E30 05C25 05C12 20B05 PDF BibTeX XML Cite \textit{A. A. Makhnev} and \textit{D. V. Paduchikh}, Proc. Steklov Inst. Math. 305, S102--S113 (2019; Zbl 1430.05138); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 173--184 (2018) Full Text: DOI
Belousov, I. N. Codes in Shilla distance-regular graphs. (English. Russian original) Zbl 1432.05034 Proc. Steklov Inst. Math. 305, Suppl. 1, S4-S9 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 34-39 (2018). MSC: 05C12 05C50 94B99 PDF BibTeX XML Cite \textit{I. N. Belousov}, Proc. Steklov Inst. Math. 305, S4--S9 (2019; Zbl 1432.05034); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 34--39 (2018) Full Text: DOI
Švob, Andrea Transitive distance-regular graphs from the unitary groups \(U(3,4)\), \(U(4,3)\) and \(U(5,2)\). (English) Zbl 1427.05232 Bull. Inst. Comb. Appl. 87, 103-113 (2019). MSC: 05E30 05E18 05C12 PDF BibTeX XML Cite \textit{A. Švob}, Bull. Inst. Comb. Appl. 87, 103--113 (2019; Zbl 1427.05232)
Knox, Fiachra; Mohar, Bojan Fractional decompositions and the smallest-eigenvalue separation. (English) Zbl 1428.05196 Electron. J. Comb. 26, No. 4, Research Paper P4.41, 6 p. (2019). MSC: 05C50 05C12 05C31 PDF BibTeX XML Cite \textit{F. Knox} and \textit{B. Mohar}, Electron. J. Comb. 26, No. 4, Research Paper P4.41, 6 p. (2019; Zbl 1428.05196) Full Text: arXiv Link
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi A spectral version of the Moore problem for bipartite regular graphs. (English) Zbl 1428.05187 Algebr. Comb. 2, No. 6, 1219-1238 (2019). MSC: 05C50 05C40 05C12 05C35 05E30 42C05 90C05 94B65 PDF BibTeX XML Cite \textit{S. M. Cioabă} et al., Algebr. Comb. 2, No. 6, 1219--1238 (2019; Zbl 1428.05187) Full Text: DOI arXiv
Mamart, Siwaporn; Worawannotai, Chalermpong Merging the first and third classes in bipartite distance-regular graphs. (English) Zbl 1427.05074 Asian-Eur. J. Math. 12, No. 7, Article ID 2050009, 8 p. (2019). MSC: 05C12 05C40 05E30 PDF BibTeX XML Cite \textit{S. Mamart} and \textit{C. Worawannotai}, Asian-Eur. J. Math. 12, No. 7, Article ID 2050009, 8 p. (2019; Zbl 1427.05074) Full Text: DOI
Makhnev, A. A. Automorphisms of distance-regular graph with intersection array \(\{24,18,9;1,1,16\}\). (Russian. English summary) Zbl 1426.05066 Sib. Èlektron. Mat. Izv. 16, 1547-1552 (2019). MSC: 05C25 05C12 PDF BibTeX XML Cite \textit{A. A. Makhnev}, Sib. Èlektron. Mat. Izv. 16, 1547--1552 (2019; Zbl 1426.05066) Full Text: DOI