Filipovski, Slobodan A lower bound for the discriminant of polynomials related to Chebyshev polynomials. (English) Zbl 07302662 Discrete Math. 344, No. 3, Article ID 112235, 6 p. (2021). MSC: 05E30 33C45 PDF BibTeX XML Cite \textit{S. Filipovski}, Discrete Math. 344, No. 3, Article ID 112235, 6 p. (2021; Zbl 07302662) Full Text: DOI
Fresán-Figueroa, J.; González-Moreno, D.; Olsen, M. On the packing chromatic number of Moore graphs. (English) Zbl 07289380 Discrete Appl. Math. 289, 185-193 (2021). MSC: 05C15 05C12 05C70 51E20 51E12 PDF BibTeX XML Cite \textit{J. Fresán-Figueroa} et al., Discrete Appl. Math. 289, 185--193 (2021; Zbl 07289380) 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 07281981 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 07281981); translation from Algebra Logika 59, No. 4, 471--479 (2020) Full Text: DOI
Dalfó, C.; Fiol, M. A.; López, N.; Ryan, J. An improved Moore bound and some new optimal families of mixed abelian Cayley graphs. (English) Zbl 1445.05047 Discrete Math. 343, No. 10, Article ID 112034, 9 p. (2020). MSC: 05C25 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Discrete Math. 343, No. 10, Article ID 112034, 9 p. (2020; Zbl 1445.05047) Full Text: DOI
Balaji, R.; Bapat, R. B.; Goel, Shivani Resistance distance in directed cactus graphs. (English) Zbl 1444.05060 Electron. J. Linear Algebra 36, 277-292 (2020). MSC: 05C20 05C12 05C40 05C50 PDF BibTeX XML Cite \textit{R. Balaji} et al., Electron. J. Linear Algebra 36, 277--292 (2020; Zbl 1444.05060) Full Text: Link
Dalfó, C.; Fiol, M. A.; López, N. New Moore-like bounds and some optimal families of abelian Cayley mixed graphs. (English) Zbl 1442.05083 Ann. Comb. 24, No. 2, 405-424 (2020). MSC: 05C25 05C12 05C20 05C35 90B10 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Ann. Comb. 24, No. 2, 405--424 (2020; Zbl 1442.05083) Full Text: DOI
Alipour, Sharareh; Jafari, Amir; Saghafian, Morteza Upper bounds for \(k\)-tuple (total) domination numbers of regular graphs. (English) Zbl 1434.05104 Bull. Iran. Math. Soc. 46, No. 2, 573-577 (2020). MSC: 05C69 05C35 05C12 PDF BibTeX XML Cite \textit{S. Alipour} et al., Bull. Iran. Math. Soc. 46, No. 2, 573--577 (2020; Zbl 1434.05104) Full Text: DOI
Ali, Patrick; Atik, Fouzul; Bapat, Ravindra B. Identities for minors of the Laplacian, resistance and distance matrices of graphs with arbitrary weights. (English) Zbl 1428.05182 Linear Multilinear Algebra 68, No. 2, 323-336 (2020). MSC: 05C50 PDF BibTeX XML Cite \textit{P. Ali} et al., Linear Multilinear Algebra 68, No. 2, 323--336 (2020; Zbl 1428.05182) Full Text: DOI
Fürst, Maximilian; Rautenbach, Dieter A short proof for a lower bound on the zero forcing number. (English) Zbl 1430.05088 Discuss. Math., Graph Theory 40, No. 1, 355-360 (2020). MSC: 05C69 05C50 PDF BibTeX XML Cite \textit{M. Fürst} and \textit{D. Rautenbach}, Discuss. Math., Graph Theory 40, No. 1, 355--360 (2020; Zbl 1430.05088) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Tuite} and \textit{G. Erskine}, Graphs Comb. 35, No. 6, 1253--1272 (2019; Zbl 1440.05130) Full Text: DOI arXiv
Pavlíková, Soňa; Širáň, Jozef Inverting non-invertible labeled trees. (English) Zbl 1429.05184 Australas. J. Comb. 75, Part 2, 246-255 (2019). MSC: 05C78 05C05 05C22 15A09 PDF BibTeX XML Cite \textit{S. Pavlíková} and \textit{J. Širáň}, Australas. J. Comb. 75, Part 2, 246--255 (2019; Zbl 1429.05184) Full Text: Link
Araujo-Pardo, Gabriela; Hernández-Cruz, César; Montellano-Ballesteros, Juan José Mixed cages. (English) Zbl 1426.05053 Graphs Comb. 35, No. 5, 989-999 (2019). MSC: 05C20 05C35 05C38 PDF BibTeX XML Cite \textit{G. Araujo-Pardo} et al., Graphs Comb. 35, No. 5, 989--999 (2019; Zbl 1426.05053) Full Text: DOI
Dalfó, C. A new general family of mixed graphs. (English) Zbl 1421.05035 Discrete Appl. Math. 269, 99-106 (2019). MSC: 05C12 05C75 05C20 PDF BibTeX XML Cite \textit{C. Dalfó}, Discrete Appl. Math. 269, 99--106 (2019; Zbl 1421.05035) Full Text: DOI
Azimi, A.; Bapat, R. B. The Moore-Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs. (English) Zbl 1418.05081 Discrete Math. 342, No. 8, 2393-2401 (2019). MSC: 05C40 05C50 PDF BibTeX XML Cite \textit{A. Azimi} and \textit{R. B. Bapat}, Discrete Math. 342, No. 8, 2393--2401 (2019; Zbl 1418.05081) Full Text: DOI
Cao, Jinde; Liu, Jia-Bao; Wang, Shaohui Resistance distances in corona and neighborhood corona networks based on Laplacian generalized inverse approach. (English) Zbl 1414.05248 J. Algebra Appl. 18, No. 3, Article ID 1950053, 12 p. (2019). MSC: 05C76 05C85 05C12 PDF BibTeX XML Cite \textit{J. Cao} et al., J. Algebra Appl. 18, No. 3, Article ID 1950053, 12 p. (2019; Zbl 1414.05248) 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 PDF BibTeX XML Cite \textit{H. Nozaki}, Discrete Math. 342, No. 7, 2134--2138 (2019; Zbl 1414.05183) Full Text: DOI arXiv
López, Nacho; Pérez-Rosés, Hebert; Pujolàs, Jordi; Ždímalová, Mária Construction of extremal mixed graphs of diameter two. (English) Zbl 1414.05162 Discrete Appl. Math. 263, 204-211 (2019). MSC: 05C35 05C12 05C20 PDF BibTeX XML Cite \textit{N. López} et al., Discrete Appl. Math. 263, 204--211 (2019; Zbl 1414.05162) Full Text: DOI
Atik, Fouzul; Bapat, R. B.; Rajesh Kannan, M. Resistance matrices of graphs with matrix weights. (English) Zbl 1411.05105 Linear Algebra Appl. 571, 41-57 (2019). MSC: 05C22 05C12 05C50 PDF BibTeX XML Cite \textit{F. Atik} et al., Linear Algebra Appl. 571, 41--57 (2019; Zbl 1411.05105) Full Text: DOI
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 PDF BibTeX XML Cite \textit{C. Dalfó}, Linear Algebra Appl. 569, 1--14 (2019; Zbl 1411.05155) Full Text: DOI
Tuite, James Digraphs with degree two and excess two are diregular. (English) Zbl 1407.05115 Discrete Math. 342, No. 5, 1233-1244 (2019). MSC: 05C20 05C12 05C07 PDF BibTeX XML Cite \textit{J. Tuite}, Discrete Math. 342, No. 5, 1233--1244 (2019; Zbl 1407.05115) Full Text: DOI
Bianchi, Monica; Palacios, José Luis; Torriero, Anna; Wirkierman, Ariel Luis Kirchhoffian indices for weighted digraphs. (English) Zbl 1405.05066 Discrete Appl. Math. 255, 142-154 (2019). MSC: 05C20 05C22 05C81 PDF BibTeX XML Cite \textit{M. Bianchi} et al., Discrete Appl. Math. 255, 142--154 (2019; Zbl 1405.05066) Full Text: DOI
Filipovski, Slobodan; Jajcay, Robert On the non-existence of families of \((d,k, \delta)\)-digraphs containing only selfrepeat vertices. (English) Zbl 1405.05100 Linear Algebra Appl. 563, 302-312 (2019). MSC: 05C50 15A18 05C35 PDF BibTeX XML Cite \textit{S. Filipovski} and \textit{R. Jajcay}, Linear Algebra Appl. 563, 302--312 (2019; Zbl 1405.05100) Full Text: DOI
Exoo, Geoffrey; Jajcay, Robert; Mačaj, Martin; Širáň, Jozef On the defect of vertex-transitive graphs of given degree and diameter. (English) Zbl 1402.05038 J. Comb. Theory, Ser. B 134, 322-340 (2019). MSC: 05C07 05C12 PDF BibTeX XML Cite \textit{G. Exoo} et al., J. Comb. Theory, Ser. B 134, 322--340 (2019; Zbl 1402.05038) Full Text: DOI
Bapat, Ravindra B.; Kurata, Hiroshi On Cartesian product of Euclidean distance matrices. (English) Zbl 1447.15023 Linear Algebra Appl. 562, 135-153 (2019). Reviewer: Ignat Domanov (Kortrijk) MSC: 15A69 15A09 05C50 05C05 51K05 PDF BibTeX XML Cite \textit{R. B. Bapat} and \textit{H. Kurata}, Linear Algebra Appl. 562, 135--153 (2019; Zbl 1447.15023) Full Text: DOI
Abreu, Marién; Araujo-Pardo, Gabriela; Balbuena, Camino; Labbate, Domenico An alternate description of a \((q + 1, 8)\)-cage. (English) Zbl 1421.05070 Art Discrete Appl. Math. 1, No. 2, Paper No. P2.07, 9 p. (2018). MSC: 05C69 05C35 05B25 PDF BibTeX XML Cite \textit{M. Abreu} et al., Art Discrete Appl. Math. 1, No. 2, Paper No. P2.07, 9 p. (2018; Zbl 1421.05070) Full Text: DOI
Azimi, A.; Bapat, R. B. Moore-Penrose inverse of the incidence matrix of a distance regular graph. (English) Zbl 1418.05067 Linear Algebra Appl. 551, 92-103 (2018). MSC: 05C20 05C50 15A09 PDF BibTeX XML Cite \textit{A. Azimi} and \textit{R. B. Bapat}, Linear Algebra Appl. 551, 92--103 (2018; Zbl 1418.05067) Full Text: DOI
Dalfó, Cristina; Fiol, Miquel Àngel; López, Nacho On bipartite-mixed graphs. (English) Zbl 1402.05088 J. Graph Theory 89, No. 4, 386-394 (2018). MSC: 05C20 05C35 05C12 05C07 PDF BibTeX XML Cite \textit{C. Dalfó} et al., J. Graph Theory 89, No. 4, 386--394 (2018; Zbl 1402.05088) 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 PDF BibTeX XML Cite \textit{M. A. Henning} and \textit{W. F. Klostermeyer}, Quaest. Math. 41, No. 5, 693--706 (2018; Zbl 1395.05132) Full Text: DOI
Jajcay, Robert; Kiss, György; Miklavič, Štefko Edge-girth-regular graphs. (English) Zbl 1390.05229 Eur. J. Comb. 72, 70-82 (2018). MSC: 05C99 PDF BibTeX XML Cite \textit{R. Jajcay} et al., Eur. J. Comb. 72, 70--82 (2018; Zbl 1390.05229) Full Text: DOI
Shimizu, Nobutaka The diameter of dense random regular graphs. (English) Zbl 1403.05138 Czumaj, Artur (ed.), Proceedings of the 29th annual ACM-SIAM symposium on discrete algorithms, SODA 2018, New Orleans, LA, USA, January 7–10, 2018. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-61197-503-1/ebook). 1934-1944 (2018). MSC: 05C80 05C12 PDF BibTeX XML Cite \textit{N. Shimizu}, in: Proceedings of the 29th annual ACM-SIAM symposium on discrete algorithms, SODA 2018, New Orleans, LA, USA, January 7--10, 2018. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM). 1934--1944 (2018; Zbl 1403.05138) Full Text: Link
Miller, Mirka; Miret, Josep M.; Sillasen, Anita A. On digraphs of excess one. (English) Zbl 1380.05087 Discrete Appl. Math. 238, 161-166 (2018). MSC: 05C20 05C31 PDF BibTeX XML Cite \textit{M. Miller} et al., Discrete Appl. Math. 238, 161--166 (2018; Zbl 1380.05087) Full Text: DOI
Etzion, Tuvi Regular graphs with forbidden subgraphs of \(K_n\) with \(k\) edges. (English) Zbl 1406.05049 Int. J. Inf. Coding Theory 4, No. 2-3, 145-158 (2017). MSC: 05C35 94C15 PDF BibTeX XML Cite \textit{T. Etzion}, Int. J. Inf. Coding Theory 4, No. 2--3, 145--158 (2017; Zbl 1406.05049) Full Text: DOI arXiv
Brešar, Boštjan; Hartnell, Bert L.; Rall, Douglas F. Uniformly dissociated graphs. (English) Zbl 1380.05148 Ars Math. Contemp. 13, No. 2, 293-306 (2017). MSC: 05C69 05C70 05C75 PDF BibTeX XML Cite \textit{B. Brešar} et al., Ars Math. Contemp. 13, No. 2, 293--306 (2017; Zbl 1380.05148) Full Text: DOI
Wang, Xiangrong; Dubbeldam, Johan L. A.; Van Mieghem, Piet Kemeny’s constant and the effective graph resistance. (English) Zbl 1375.15005 Linear Algebra Appl. 535, 231-244 (2017). MSC: 15A09 15A18 15A63 05C40 05C50 PDF BibTeX XML Cite \textit{X. Wang} et al., Linear Algebra Appl. 535, 231--244 (2017; Zbl 1375.15005) 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 PDF BibTeX XML Cite \textit{A. Pott} and \textit{Y. Zhou}, J. Graph Theory 85, No. 2, 533--544 (2017; Zbl 1371.05125) Full Text: DOI
Dalfó, C. Iterated line digraphs are asymptotically dense. (English) Zbl 1365.05169 Linear Algebra Appl. 529, 391-396 (2017). MSC: 05C50 05C20 05C35 PDF BibTeX XML Cite \textit{C. Dalfó}, Linear Algebra Appl. 529, 391--396 (2017; Zbl 1365.05169) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. E. Ducey}, Discrete Math. 340, No. 5, 1104--1109 (2017; Zbl 1357.05078) Full Text: DOI arXiv
Liu, Jia-Bao; Pan, Xiang-Feng; Hu, Fu-Tao The \(\{1\}\)-inverse of the Laplacian of subdivision-vertex and subdivision-edge coronae with applications. (English) Zbl 1356.05039 Linear Multilinear Algebra 65, No. 1, 178-191 (2017). MSC: 05C12 05C50 15A09 PDF BibTeX XML Cite \textit{J.-B. Liu} et al., Linear Multilinear Algebra 65, No. 1, 178--191 (2017; Zbl 1356.05039) Full Text: DOI
Dalfó, C.; Fiol, M. A.; López, N. Sequence mixed graphs. (English) Zbl 1354.05057 Discrete Appl. Math. 219, 110-116 (2017). MSC: 05C20 05C76 05C12 PDF BibTeX XML Cite \textit{C. Dalfó} et al., Discrete Appl. Math. 219, 110--116 (2017; Zbl 1354.05057) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. Araujo-Pardo} et al., Discrete Appl. Math. 218, 57--63 (2017; Zbl 1352.05062) Full Text: DOI
Roberts, Charles E. Graphs represented by extended diagonal matrices. (English) Zbl 1358.05198 Congr. Numerantium 226, 19-29 (2016). MSC: 05C62 PDF BibTeX XML Cite \textit{C. E. Roberts}, Congr. Numerantium 226, 19--29 (2016; Zbl 1358.05198)
Araujo-Pardo, C.; Balbuena, C.; Miller, M.; Ždímalová, M. A construction of dense mixed graphs of diameter 2. (English) Zbl 1356.05076 de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 235-240 (2016). MSC: 05C42 05C12 05C07 PDF BibTeX XML Cite \textit{C. Araujo-Pardo} et al., Electron. Notes Discrete Math. 54, 235--240 (2016; Zbl 1356.05076) Full Text: DOI
Jajcayová, Tatiana Baginová; Filipovski, Slobodan; Jajcay, Robert Improved lower bounds for the orders of even girth cages. (English) Zbl 1351.05216 Electron. J. Comb. 23, No. 3, Research Paper P3.55, 14 p. (2016). MSC: 05C99 PDF BibTeX XML Cite \textit{T. B. Jajcayová} et al., Electron. J. Comb. 23, No. 3, Research Paper P3.55, 14 p. (2016; Zbl 1351.05216) Full Text: Link
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 PDF BibTeX XML Cite \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: Link arXiv
Nozaki, Hiroshi Polynomial properties on large symmetric association schemes. (English) Zbl 1339.05436 Ann. Comb. 20, No. 2, 379-386 (2016). MSC: 05E30 05C50 05C12 05B20 PDF BibTeX XML Cite \textit{H. Nozaki}, Ann. Comb. 20, No. 2, 379--386 (2016; Zbl 1339.05436) Full Text: DOI arXiv
Buset, Dominique; El Amiri, Mourad; Erskine, Grahame; Miller, Mirka; Pérez-Rosés, Hebert A revised Moore bound for mixed graphs. (English) Zbl 1336.05038 Discrete Math. 339, No. 8, 2066-2069 (2016). MSC: 05C12 05C07 PDF BibTeX XML Cite \textit{D. Buset} et al., Discrete Math. 339, No. 8, 2066--2069 (2016; Zbl 1336.05038) 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 PDF BibTeX XML Cite \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
de la Salle, Mikael Towards strong Banach property (T) for \(\mathrm{SL}(3,\mathbb R)\). (English) Zbl 1362.46028 Isr. J. Math. 211, 105-145 (2016). Reviewer: Florent P. Baudier (College Station) MSC: 46B85 22D12 22E45 PDF BibTeX XML Cite \textit{M. de la Salle}, Isr. J. Math. 211, 105--145 (2016; Zbl 1362.46028) Full Text: DOI
Alexander, James; Mink, Tim A new method for enumerating independent sets of a fixed size in general graphs. (English) Zbl 1330.05115 J. Graph Theory 81, No. 1, 57-72 (2016). MSC: 05C69 05C07 05C35 05C30 05C12 PDF BibTeX XML Cite \textit{J. Alexander} and \textit{T. Mink}, J. Graph Theory 81, No. 1, 57--72 (2016; Zbl 1330.05115) Full Text: DOI arXiv
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{J. Gómez} and \textit{M. Miller}, Eur. J. Comb. 47, 15--22 (2015; Zbl 1401.05095) Full Text: DOI
Jørgensen, Leif K. New mixed Moore graphs and directed strongly regular graphs. (English) Zbl 1371.05322 Discrete Math. 338, No. 6, 1011-1016 (2015). MSC: 05E30 PDF BibTeX XML Cite \textit{L. K. Jørgensen}, Discrete Math. 338, No. 6, 1011--1016 (2015; Zbl 1371.05322) Full Text: DOI
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 PDF BibTeX XML Cite \textit{J. Azarija} and \textit{S. Klavžar}, J. Graph Theory 80, No. 1, 34--42 (2015; Zbl 1328.05097) Full Text: DOI arXiv
Conde, Josep; Miller, Mirka; Miret, Josep M.; Saurav, Kumar On the nonexistence of almost Moore digraphs of degree four and five. (English) Zbl 1317.05070 Math. Comput. Sci. 9, No. 2, 145-149 (2015). MSC: 05C20 05C35 05C31 PDF BibTeX XML Cite \textit{J. Conde} et al., Math. Comput. Sci. 9, No. 2, 145--149 (2015; Zbl 1317.05070) Full Text: DOI
Huang, Jing; Li, Shuchao On the normalised Laplacian spectrum, degree-Kirchhoff index and spanning trees of graphs. (English) Zbl 1326.05082 Bull. Aust. Math. Soc. 91, No. 3, 353-367 (2015). Reviewer: Sharad Sane (Mumbai) MSC: 05C50 05C05 05C40 15A09 94C99 PDF BibTeX XML Cite \textit{J. Huang} and \textit{S. Li}, Bull. Aust. Math. Soc. 91, No. 3, 353--367 (2015; Zbl 1326.05082) Full Text: DOI
Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D. A construction of small \((q-1)\)-regular graphs of girth 8. (English) Zbl 1310.05152 Electron. J. Comb. 22, No. 2, Research Paper P2.10, 8 p. (2015). MSC: 05C69 05C35 PDF BibTeX XML Cite \textit{M. Abreu} et al., Electron. J. Comb. 22, No. 2, Research Paper P2.10, 8 p. (2015; Zbl 1310.05152) Full Text: Link 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 PDF BibTeX XML Cite \textit{N. López} and \textit{J. Pujolàs}, Discrete Math. 338, No. 4, 522--526 (2015; Zbl 1305.05239) Full Text: DOI
Babu, S. Ajesh; Radhakrishnan, Jaikumar An entropy-based proof for the Moore bound for irregular graphs. (English) Zbl 1345.05048 Agrawal, Manindra (ed.) et al., Perspectives in computational complexity. The Somenath Biswas anniversary volume. Selected papers based on the presentations at the workshop, Kanpur, India, Summer 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-05445-2/hbk; 978-3-319-05446-9/ebook). Progress in Computer Science and Applied Logic 26, 173-181 (2014). MSC: 05C35 05C81 PDF BibTeX XML Cite \textit{S. A. Babu} and \textit{J. Radhakrishnan}, Prog. Comput. Sci. Appl. Log. 26, 173--181 (2014; Zbl 1345.05048) Full Text: DOI
López, Nacho; Pérez-Rosés, Hebert; Pujolàs, Jordi Mixed Moore Cayley graphs. (English) Zbl 1337.05031 Rodríguez Velázques, Juan Alberto (ed.) et al., Extended abstracts of the IX “Jornadas de matemática discreta y algorítmica” (JMDA), Tarragona, Spain, July 7–9, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 46, 193-200, electronic only (2014). MSC: 05C12 05C20 PDF BibTeX XML Cite \textit{N. López} et al., Electron. Notes Discrete Math. 46, 193--200 (2014; Zbl 1337.05031) Full Text: DOI
Carmona, Angeles; Encinas, Andrés M.; Gago, Silvia; Mitjana, Margarida Laplacian matrix of a weighted graph with new pendant vertices. (English) Zbl 1338.05111 Rodríguez Velázques, Juan Alberto (ed.) et al., Extended abstracts of the IX “Jornadas de matemática discreta y algorítmica” (JMDA), Tarragona, Spain, July 7–9, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 46, 129-136, electronic only (2014). MSC: 05C22 05C50 05C82 PDF BibTeX XML Cite \textit{A. Carmona} et al., Electron. Notes Discrete Math. 46, 129--136 (2014; Zbl 1338.05111) Full Text: DOI
Ranjan, Gyan; Zhang, Zhi-Li; Boley, Daniel Incremental computation of pseudo-inverse of Laplacian. (English) Zbl 1433.15008 Zhang, Zhao (ed.) et al., Combinatorial optimization and applications. 8th international conference, COCOA 2014, Wailea, Maui, HI, USA, December 19–21, 2014. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 8881, 729-749 (2014). MSC: 15A09 05C50 PDF BibTeX XML Cite \textit{G. Ranjan} et al., Lect. Notes Comput. Sci. 8881, 729--749 (2014; Zbl 1433.15008) Full Text: DOI
Sillasen, Anita Abildgaard On \(k\)-geodetic digraphs with excess one. (English) Zbl 1306.05082 Electron. J. Graph Theory Appl. 2, No. 2, 150-159 (2014). MSC: 05C20 05C12 PDF BibTeX XML Cite \textit{A. A. Sillasen}, Electron. J. Graph Theory Appl. 2, No. 2, 150--159 (2014; Zbl 1306.05082) Full Text: DOI
Abas, Marcel Cayley graphs of diameter two and any degree with order half of the Moore bound. (English) Zbl 1298.05154 Discrete Appl. Math. 173, 1-7 (2014). MSC: 05C25 05C07 05C12 PDF BibTeX XML Cite \textit{M. Abas}, Discrete Appl. Math. 173, 1--7 (2014; Zbl 1298.05154) Full Text: DOI
Bagchi, Bhaskar; Panigrahi, Pratima; Sahoo, Uma kant On the strongly regular unit distance graphs. (English) Zbl 1300.05328 J. Comb. Math. Comb. Comput. 89, 293-302 (2014). MSC: 05E30 05C12 05C62 PDF BibTeX XML Cite \textit{B. Bagchi} et al., J. Comb. Math. Comb. Comput. 89, 293--302 (2014; Zbl 1300.05328)
Baird, Paul An invariance property for frameworks in Euclidean space. (English) Zbl 1292.05166 Linear Algebra Appl. 440, 243-265 (2014). MSC: 05C50 52C99 52B11 39A14 PDF BibTeX XML Cite \textit{P. Baird}, Linear Algebra Appl. 440, 243--265 (2014; Zbl 1292.05166) Full Text: DOI
Dankelmann, Peter; Vetrík, Tomáš The degree-diameter problem for claw-free graphs and hypergraphs. (English) Zbl 1280.05094 J. Graph Theory 75, No. 2, 105-123 (2014). MSC: 05C65 05C12 05C07 PDF BibTeX XML Cite \textit{P. Dankelmann} and \textit{T. Vetrík}, J. Graph Theory 75, No. 2, 105--123 (2014; Zbl 1280.05094) Full Text: DOI
Ranjan, Gyan; Zhang, Zhi-Li Geometry of complex networks and topological centrality. (English) Zbl 1395.05163 Physica A 392, No. 17, 3833-3845 (2013). MSC: 05C82 05C10 PDF BibTeX XML Cite \textit{G. Ranjan} and \textit{Z.-L. Zhang}, Physica A 392, No. 17, 3833--3845 (2013; Zbl 1395.05163) Full Text: DOI
Gimbert, Joan; López, Nacho On the construction of radially Moore digraphs. (English) Zbl 1313.05151 Ars Comb. 110, 455-467 (2013). MSC: 05C20 05C76 05C35 05C07 05C12 PDF BibTeX XML Cite \textit{J. Gimbert} and \textit{N. López}, Ars Comb. 110, 455--467 (2013; Zbl 1313.05151)
Conde, Josep; Lopez, Nacho; Miret, Josep M. In memoriam: Joan Gimbert (1962–2012). (English) Zbl 1296.01025 AKCE Int. J. Graphs Comb. 10, No. 3, 337-347 (2013). MSC: 01A70 05-03 05C20 05C35 05C50 05C12 PDF BibTeX XML Cite \textit{J. Conde} et al., AKCE Int. J. Graphs Comb. 10, No. 3, 337--347 (2013; Zbl 1296.01025)
Bozzo, Enrico The Moore-Penrose inverse of the normalized graph Laplacian. (English) Zbl 1283.15011 Linear Algebra Appl. 439, No. 10, 3038-3043 (2013). MSC: 15A09 05C50 05C20 PDF BibTeX XML Cite \textit{E. Bozzo}, Linear Algebra Appl. 439, No. 10, 3038--3043 (2013; Zbl 1283.15011) Full Text: DOI
Goldberg, Felix Optimizing Colin de Verdière matrices of \(K_{4,4}\). (English) Zbl 1280.05078 Linear Algebra Appl. 438, No. 10, 4090-4101 (2013). MSC: 05C50 15A21 15A09 PDF BibTeX XML Cite \textit{F. Goldberg}, Linear Algebra Appl. 438, No. 10, 4090--4101 (2013; Zbl 1280.05078) Full Text: DOI
Conde, Josep; Gimbert, Joan; González, Josep; Miret, Josep M.; Moreno, Ramiro Nonexistence of almost Moore digraphs of diameter four. (English) Zbl 1266.05042 Electron. J. Comb. 20, No. 1, Research Paper P75, 14 p. (2013). MSC: 05C20 05C50 11R18 PDF BibTeX XML Cite \textit{J. Conde} et al., Electron. J. Comb. 20, No. 1, Research Paper P75, 14 p. (2013; Zbl 1266.05042) Full Text: Link
Feria-Purón, Ramiro; Miller, Mirka; Pineda-Villavicencio, Guillermo On large bipartite graphs of diameter 3. (English) Zbl 1259.05085 Discrete Math. 313, No. 4, 381-390 (2013). MSC: 05C35 05C70 05C12 05C07 PDF BibTeX XML Cite \textit{R. Feria-Purón} et al., Discrete Math. 313, No. 4, 381--390 (2013; Zbl 1259.05085) Full Text: DOI arXiv
van Bon, John More on Moore graphs. (English) Zbl 1292.05085 J. Comb. Theory, Ser. A 120, No. 2, 509-513 (2013). MSC: 05C05 PDF BibTeX XML Cite \textit{J. van Bon}, J. Comb. Theory, Ser. A 120, No. 2, 509--513 (2013; Zbl 1292.05085) Full Text: DOI
Carmona, Angeles; Encinas, Andres; Mitjana, Margarida On the \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices. (English) Zbl 1282.05100 Electron. J. Linear Algebra 24, 237-254 (2012). MSC: 05C50 05B30 15A09 PDF BibTeX XML Cite \textit{A. Carmona} et al., Electron. J. Linear Algebra 24, 237--254 (2012; Zbl 1282.05100) Full Text: Link
Li, Yanhua; Zhang, Zhi-Li Digraph Laplacian and the degree of asymmetry. (English) Zbl 1258.05072 Internet Math. 8, No. 4, 381-401 (2012). MSC: 05C50 05C81 05C20 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Z.-L. Zhang}, Internet Math. 8, No. 4, 381--401 (2012; Zbl 1258.05072) Full Text: DOI Euclid
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 PDF BibTeX XML Cite \textit{J. Cooper} et al., Graphs Comb. 28, No. 2, 189--197 (2012; Zbl 1256.05115) Full Text: DOI
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 PDF BibTeX XML Cite \textit{G. Exoo} et al., Discrete Appl. Math. 160, No. 10--11, 1507--1512 (2012; Zbl 1243.05120) Full Text: DOI
Šiagiová, Jana; Širáň, Jozef Approaching the Moore bound for diameter two by Cayley graphs. (English) Zbl 1237.05101 J. Comb. Theory, Ser. B 102, No. 2, 470-473 (2012). MSC: 05C25 05C05 05C12 PDF BibTeX XML Cite \textit{J. Šiagiová} and \textit{J. Širáň}, J. Comb. Theory, Ser. B 102, No. 2, 470--473 (2012; Zbl 1237.05101) Full Text: DOI
Bendito, E.; Carmona, A.; Encinas, A. M.; Mitjana, M. Distance-regular graphs having the \(M\)-property. (English) Zbl 1237.05122 Linear Multilinear Algebra 60, No. 2, 225-240 (2012). MSC: 05C50 05C12 05E30 15A09 PDF BibTeX XML Cite \textit{E. Bendito} et al., Linear Multilinear Algebra 60, No. 2, 225--240 (2012; Zbl 1237.05122) Full Text: DOI
Feria-Purón, Ramiro; Pineda-Villavicencio, Guillermo On bipartite graphs of defect at most 4. (English) Zbl 1241.05022 Discrete Appl. Math. 160, No. 1-2, 140-154 (2012). MSC: 05C07 05C70 05C12 05C35 PDF BibTeX XML Cite \textit{R. Feria-Purón} and \textit{G. Pineda-Villavicencio}, Discrete Appl. Math. 160, No. 1--2, 140--154 (2012; Zbl 1241.05022) Full Text: DOI arXiv
Cholily, Yus Mochamad A conjecture on the existence of almost Moore digraphs. (English) Zbl 1244.05102 Adv. Appl. Discrete Math. 8, No. 1, 57-64 (2011). MSC: 05C20 PDF BibTeX XML Cite \textit{Y. M. Cholily}, Adv. Appl. Discrete Math. 8, No. 1, 57--64 (2011; Zbl 1244.05102) Full Text: Link
Lv, Shengxiang; Liu, Yanpei A new bound on maximum genus of simple graphs. (English) Zbl 1249.05078 Ars Comb. 98, 7-14 (2011). MSC: 05C10 05C35 PDF BibTeX XML Cite \textit{S. Lv} and \textit{Y. Liu}, Ars Comb. 98, 7--14 (2011; Zbl 1249.05078)
Goff, Michael Higher dimensional Moore bounds. (English) Zbl 1233.05223 Graphs Comb. 27, No. 4, 505-530 (2011). MSC: 05E45 05C12 52A20 PDF BibTeX XML Cite \textit{M. Goff}, Graphs Comb. 27, No. 4, 505--530 (2011; Zbl 1233.05223) Full Text: DOI arXiv
Leroux, Philippe L-algebras, triplicial-algebras, within an equivalence of categories motivated by graphs. (English) Zbl 1237.05221 Commun. Algebra 39, No. 8, 2661-2689 (2011). MSC: 05E99 05C20 05C05 05C22 16W10 16T10 17A30 17A50 18D50 60J99 06D30 PDF BibTeX XML Cite \textit{P. Leroux}, Commun. Algebra 39, No. 8, 2661--2689 (2011; Zbl 1237.05221) Full Text: DOI arXiv
Pineda-Villavicencio, Guillermo Non-existence of bipartite graphs of diameter at least \(4\) and defect \(2\). (English) Zbl 1238.05076 J. Algebr. Comb. 34, No. 2, 163-182 (2011). Reviewer: G. N. Prasanth (Alappuzha) MSC: 05C12 05C35 PDF BibTeX XML Cite \textit{G. Pineda-Villavicencio}, J. Algebr. Comb. 34, No. 2, 163--182 (2011; Zbl 1238.05076) Full Text: DOI
Feria-Purón, Ramiro; Miller, Mirka; Pineda-Villavicencio, Guillermo On graphs of defect at most 2. (English) Zbl 1225.05087 Discrete Appl. Math. 159, No. 13, 1331-1344 (2011). MSC: 05C12 05C07 05C35 PDF BibTeX XML Cite \textit{R. Feria-Purón} et al., Discrete Appl. Math. 159, No. 13, 1331--1344 (2011; Zbl 1225.05087) Full Text: DOI arXiv
Miller, Mirka Nonexistence of graphs with cyclic defect. (English) Zbl 1218.05077 Electron. J. Comb. 18, No. 1, Research Paper P71, 5 p. (2011). MSC: 05C38 05C35 05C75 PDF BibTeX XML Cite \textit{M. Miller}, Electron. J. Comb. 18, No. 1, Research Paper P71, 5 p. (2011; Zbl 1218.05077) Full Text: EMIS EuDML
Bolten, Matthias; Friedhoff, Stephanie; Frommer, Andreas; Heming, Matthias; Kahl, Karsten Algebraic multigrid methods for Laplacians of graphs. (English) Zbl 1217.65063 Linear Algebra Appl. 434, No. 11, 2225-2243 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F10 65Y05 05C50 65N55 05C70 PDF BibTeX XML Cite \textit{M. Bolten} et al., Linear Algebra Appl. 434, No. 11, 2225--2243 (2011; Zbl 1217.65063) Full Text: DOI
Bapat, Ravindra B. Least-squares approximation by a tree distance. (English) Zbl 1317.05027 Contrib. Discrete Math. 5, No. 2, 185-194, (2010). MSC: 05C05 05C12 05C50 05C22 62J05 PDF BibTeX XML Cite \textit{R. B. Bapat}, Contrib. Discrete Math. 5, No. 2, 185--194, (2010; Zbl 1317.05027) Full Text: Link
Rosehr, Nils Compact generalized polygons and Moore graphs as stable graphs. (English) Zbl 1262.05034 Innov. Incidence Geom. 11, 157-185 (2010). Reviewer: Nick Gill (Milton Keynes) MSC: 05C10 51E12 51H10 PDF BibTeX XML Cite \textit{N. Rosehr}, Innov. Incidence Geom. 11, 157--185 (2010; Zbl 1262.05034)
Capdevila, Carles; Conde, Josep; Exoo, Geoffrey; Gimbert, Joan; López, Nacho Ranking measures for radially Moore graphs. (English) Zbl 1298.05171 Networks 56, No. 4, 255-262 (2010). MSC: 05C35 05C12 PDF BibTeX XML Cite \textit{C. Capdevila} et al., Networks 56, No. 4, 255--262 (2010; Zbl 1298.05171) Full Text: DOI
Delorme, Charles; Pineda-Villavicencio, Guillermo On graphs with cyclic defect or excess. (English) Zbl 1204.05043 Electron. J. Comb. 17, No. 1, Research Paper R143, 25 p. (2010). MSC: 05C12 05C35 05C50 05C75 PDF BibTeX XML Cite \textit{C. Delorme} and \textit{G. Pineda-Villavicencio}, Electron. J. Comb. 17, No. 1, Research Paper R143, 25 p. (2010; Zbl 1204.05043) Full Text: EMIS EuDML
Mačaj, Martin; Širáň, Jozef Search for properties of the missing Moore graph. (English) Zbl 1217.05149 Linear Algebra Appl. 432, No. 9, 2381-2398 (2010). MSC: 05C50 05C25 20B25 20C15 PDF BibTeX XML Cite \textit{M. Mačaj} and \textit{J. Širáň}, Linear Algebra Appl. 432, No. 9, 2381--2398 (2010; Zbl 1217.05149) Full Text: DOI
Lv, Shengxiang; Liu, Yanpei Up-embeddability of graphs with small order. (English) Zbl 1227.05134 Appl. Math. Lett. 23, No. 3, 267-271 (2010). MSC: 05C10 PDF BibTeX XML Cite \textit{S. Lv} and \textit{Y. Liu}, Appl. Math. Lett. 23, No. 3, 267--271 (2010; Zbl 1227.05134) Full Text: DOI
Makhnev, A. A.; Paduchikh, D. V. On the automorphism group of the Aschbacher graph. (English. Russian original) Zbl 1237.05134 Proc. Steklov Inst. Math. 267, Suppl. 1 (2009, Suppl. 3), S149-S163 (2009); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 15, No. 2 (2009). MSC: 05C60 05C25 PDF BibTeX XML Full Text: DOI
Ždímalová, Mária; Staneková, Ľubica Asymptotic comparison of two constructions for large digraphs of given degree and diameter. (English) Zbl 1250.05052 Acta Math. Univ. Ostrav. 17, No. 1, 5-9 (2009). Reviewer: Attila Sali (Budapest) MSC: 05C20 05C12 05C07 05C35 PDF BibTeX XML Cite \textit{M. Ždímalová} and \textit{Ľ. Staneková}, Acta Math. Univ. Ostrav. 17, No. 1, 5--9 (2009; Zbl 1250.05052) Full Text: Link
Kiss, György; Kovács, István; Kutnar, Klavdija; Ruff, János; Šparl, Primož A note on a geometric construction of large Cayley graphs of given degree and diameter. (English) Zbl 1240.05221 Stud. Univ. Babeş-Bolyai, Math. 54, No. 3, 77-84 (2009). MSC: 05C62 51E21 05C25 PDF BibTeX XML Cite \textit{G. Kiss} et al., Stud. Univ. Babeş-Bolyai, Math. 54, No. 3, 77--84 (2009; Zbl 1240.05221)
Pineda-Villavicencio, Guillermo; Gómez, José; Miller, Mirka; Pérez-Rosés, Hebert New largest known graphs of diameter 6. (English) Zbl 1205.05075 Networks 53, No. 4, 315-328 (2009). MSC: 05C12 05C35 PDF BibTeX XML Cite \textit{G. Pineda-Villavicencio} et al., Networks 53, No. 4, 315--328 (2009; Zbl 1205.05075) Full Text: DOI
Miller, Mirka; Pineda-Villavicencio, Guillermo Complete catalogue of graphs of maximum degree 3 and defect at most 4. (English) Zbl 1211.05036 Discrete Appl. Math. 157, No. 13, 2983-2996 (2009). MSC: 05C12 PDF BibTeX XML Cite \textit{M. Miller} and \textit{G. Pineda-Villavicencio}, Discrete Appl. Math. 157, No. 13, 2983--2996 (2009; Zbl 1211.05036) Full Text: DOI