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The Electronic Journal of Combinatorics: EJC, ISSN 1097-1440, 04/2016, Volume Dynamic Surveys, pp. 1 - 156
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 7/2018, Volume 34, Issue 4, pp. 555 - 570
A generalized strongly regular graph of grade p, as a generalization of strongly regular graphs, is a regular graph such that the number of common neighbours... 
05E30 | 15A42 | Semi-strongly regular graph | 05C50 | Quasi-strongly regular graph | Mathematics | Engineering Design | Combinatorics | Strongly regular graph | Cayley graph | Deza graph | Association scheme | MATHEMATICS | Information science | Yuan (China) | Eigenvalues | Graphs | Inequalities | Eigen values
Journal Article
Journal of Algebraic Combinatorics, ISSN 0925-9899, 6/2018, Volume 47, Issue 4, pp. 623 - 639
We generalize the concept of strong walk-regularity to directed graphs. We call a digraph strongly $$\ell $$ ℓ -walk-regular with $$\ell > 1$$ ℓ>1 if the... 
Walk | 05E30 | Strongly regular digraph | 05C50 | Convex and Discrete Geometry | Eigenvalues | Mathematics | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | Spectrum | MATHEMATICS | DIGRAPHS | Management science | Graphs | Graph theory | Eigen values | Mathematics - Combinatorics
Journal Article
Discrete Mathematics, ISSN 0012-365X, 10/2019, Volume 342, Issue 10, pp. 2818 - 2820
We exhibit a new construction of edge-regular graphs with regular cliques that are not strongly regular. The infinite family of graphs resulting from this... 
Regular clique | Strongly regular graph | Edge-regular graph
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2019, Volume 580, pp. 464 - 474
We show that the strongly regular graph on non-isotropic points of one type of the polar spaces of type , , , , and are not determined by its parameters for .... 
Strongly regular graph | Switching | Polar space | Spectrum | Analysis | Algebra
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 2019
Journal Article
Discrete Mathematics, ISSN 0012-365X, 06/2017, Volume 340, Issue 6, pp. 1367 - 1373
In this paper, we study 24 possibilities of directed strongly regular graphs with adjacency matrix of rank 6, our proof is based on two effective algorithms.... 
Rank of matrix | Directed strongly regular graphs | Adjacency matrix | MATHEMATICS | Algorithms
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 12/2017, Volume 85, Issue 3, pp. 457 - 470
Journal Article
Electronic Notes in Discrete Mathematics, ISSN 1571-0653, 10/2016, Volume 54, pp. 271 - 276
We prove that if and are primitive strongly regular graphs with the same parameters and is a homomorphism from to , then is either an isomorphism or a coloring... 
graph homomorphisms | strongly regular graphs | cores | Lovász theta
Journal Article
Journal of Algebraic Combinatorics, ISSN 0925-9899, 12/2017, Volume 46, Issue 3, pp. 571 - 588
Let $$\varGamma $$ Γ be a distance-regular graph with diameter $$d \ge 2$$ d ≥ 2 . It is said to have classical parameters $$(d, b, \alpha , \beta )$$ ( d , b... 
Distance-regular graphs | Convex and Discrete Geometry | Formally self-dual | Mathematics | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | Classical parameters | Locally strongly regular | Tight graphs | FORMS | MATHEMATICS | ASSOCIATION SCHEMES | Information science | Cubes | Graphs | Partitions
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 05/2013, Volume 120, Issue 4, pp. 803 - 810
We study a generalization of strongly regular graphs. We call a graph strongly walk-regular if there is an such that the number of walks of length from a... 
Walks | Strongly regular graphs | Spectrum | MATHEMATICS | 4 EIGENVALUES | Mathematics - Combinatorics
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 11/2018, Volume 557, pp. 62 - 83
We show that there is no strongly regular graph. The result is obtained by a mix of algebraic and computational approaches. The main idea is to build large... 
Eigenvalues | Star complement technique | Interlacing | Strongly regular graphs | MATHEMATICS | MATHEMATICS, APPLIED | Graphs | Graph theory | Algorithms | Linear algebra | Eigen values
Journal Article
Discrete Mathematics, ISSN 0012-365X, 06/2015, Volume 338, Issue 6, pp. 1011 - 1016
A directed strongly regular graph with parameters is a -regular directed graph with vertices satisfying that the number of walks of length 2 from a vertex to a... 
Computation in GAP | Moore graph | Directed strongly regular graph | MATHEMATICS | DIGRAPHS
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2019, Volume 342, Issue 8, pp. 2204 - 2212
In this paper we investigate bounds on set multipartite Ramsey numbers for the bipartite graph , extending or improving well-known upper bounds by Chung and... 
Hadamard matrix | Graph Ramsey number | Multipartite graph | Bipartite graph | Strongly regular graph | MATHEMATICS | SET | LOWER BOUNDS
Journal Article
Linear Algebra and Its Applications, ISSN 0024-3795, 07/2015, Volume 477, pp. 102 - 111
From the parameters of a directed strongly regular graph (dsrg) A. Duval (1988) showed how to compute the eigenvalues and multiplicities of the adjacency... 
Rank of matrix | Directed strongly regular graph | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 12/2014, Volume 178, pp. 153 - 156
In this note we obtain an explicit formula for the Hosoya polynomial of any distance-regular graph in terms of its intersection array. As a consequence, we... 
Distance-regular graphs | Wiener index | Hosoya polynomial | Strongly regular graphs | MATHEMATICS, APPLIED | TREES
Journal Article
Graphs and Combinatorics, ISSN 0911-0119, 1/2017, Volume 33, Issue 1, pp. 171 - 179
Duval, in (J Comb Theory Ser 47:71–100, 1988), introduced the concept of directed strongly regular graphs. In this paper we construct rich families of directed... 
Mathematics | Engineering Design | Directed strongly regular graph | Combinatorics | Explicit construction | MATHEMATICS | DESIGNS | Graphs | Combinatorial analysis | Parameters
Journal Article
Journal of Algebra, ISSN 0021-8693, 01/2015, Volume 421, pp. 260 - 267
Let be an edge-regular graph with given parameters . We show how to apply a certain “block intersection polynomial” in two variables to determine a good upper... 
Regular clique | Delsarte bound | Partial geometry | Orbital graph | Maximum clique | Hoffman bound | Clique | Edge-regular graph | Strongly regular graph | Quasiregular clique | MATHEMATICS
Journal Article
Journal of Combinatorial Theory, Series A, ISSN 0097-3165, 01/2019, Volume 161, pp. 508 - 536
The concept of directed strongly regular graphs (DSRG) was introduced by Duval in 1988 . In the present paper, we use representation theory of finite groups in... 
Induced representation | Representation theory | Directed strongly regular graph | Cayley graph | MATHEMATICS
Journal Article
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