Results 11 to 20 of about 2,975,002 (298)

Some Chemistry Indices of Clique-Inserted Graph of a Strongly Regular Graph

open access: yesComplexity, 2021
In this paper, we give the relation between the spectrum of strongly regular graph and its clique-inserted graph. The Laplacian spectrum and the signless Laplacian spectrum of clique-inserted graph of strongly regular graph are calculated.
Chun-Li Kan   +3 more
doaj   +2 more sources

A new strongly regular graph [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rudolf Mathon, Alexander Rosa
openaire   +4 more sources

Hamiltonian Strongly Regular Graphs [PDF]

open access: yesSSRN Electronic Journal, 2008
We give a sufficient condition for a distance-regular graph to be Hamiltonian. In particular, the Petersen graph is the only connected non-Hamiltonian strongly regular graph on fewer than 99 vertices.
Brouwer, A.E., Haemers, W.H.
openaire   +8 more sources

New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group

open access: yesExamples and Counterexamples, 2023
A new strongly regular graph with parameters (81,30,9,12) is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.
Dean Crnković, Andrea Švob
doaj   +1 more source

DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {27, 20, 7; 1, 4, 21} DOES NOT EXIST

open access: yesUral Mathematical Journal, 2020
In the class of distance-regular graphs of diameter 3 there are 5 intersection arrays of graphs with at most 28 vertices and noninteger eigenvalue. These arrays are \(\{18,14,5;1,2,14\}\), \(\{18,15,9;1,1,10\}\), \(\{21,16,10;1,2,12\}\), \(\{24,21,3;1,3 ...
Konstantin S. Efimov   +1 more
doaj   +1 more source

MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS

open access: yesBarekeng, 2021
Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu   +2 more
doaj   +1 more source

A unique and novel graph matrix for efficient extraction of structural information of networks

open access: yesElectronic Journal of Graph Theory and Applications, 2021
In this article, we propose a new type of square matrix associated with an undirected graph by trading off the natural embedded symmetry in them. The proposed matrix is defined using the neighbourhood sets of the vertices,  called as neighbourhood matrix
Sivakumar Karunakaran   +1 more
doaj   +1 more source

Cyclotomy and Strongly Regular Graphs [PDF]

open access: yesJournal of Algebraic Combinatorics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brouwer, A. E.   +2 more
openaire   +3 more sources

AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {39; 36; 4; 1; 1; 36}

open access: yesUral Mathematical Journal, 2018
Makhnev and Nirova have found intersection arrays of distance-regular graphs with no more than \(4096\) vertices, in which \(\lambda=2\)  and \(\mu=1\). They proposed the program of investigation of distance-regular graphs with \(\lambda=2\) and \(\mu=1\)
Konstantin S. Efimov   +1 more
doaj   +1 more source

AUTOMORPHISMS OF DISTANCE-REGULAR GRAPH WITH INTERSECTION ARRAY {25; 16; 1; 1; 8; 25}

open access: yesUral Mathematical Journal, 2017
Makhnev and Samoilenko have found parameters of strongly regular graphs with no more than 1000 vertices, which may be neighborhoods of vertices in antipodal distance-regular graph of diameter 3 and with  \(\lambda=\mu\).
Konstantin S. Efimov   +1 more
doaj   +1 more source

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