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On Generalized Strongly Regular Graphs
Graphs and Combinatorics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gengsheng Zhang
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Strongly Regular Generalized Equations
Mathematics of Operations Research, 1980This paper considers generalized equations, which are convenient tools for formulating problems in complementarity and in mathematical programming, as well as variational inequalities. We introduce a regularity condition for such problems and, with its help, prove existence, uniqueness and Lipschitz continuity of solutions to generalized equations ...
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A type of strongly regular rings
Journal of Intelligent & Fuzzy Systems, 2015In this study, using Yuan and Lee’s definition of fuzzy group based on fuzzy binary operation and Aktas and Cagman definition of fuzzy ring, we give a new kind of definition to ( A : B ).
B. Sambathkumar +2 more
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A Generalization of Strongly Regular Graphs
Southeast Asian Bulletin of Mathematics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deza, Michel, Huang, Tayuan
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On strongly regular designs admitting fusion to strongly regular decomposition
Journal of Combinatorial Designs, 2021AbstractA strongly regular decomposition of a strongly regular graph is a partition of the vertex set into two parts on which the induced subgraphs are strongly regular, or cliques or cocliques. Strongly regular designs (srd's) as defined by D. G. Higman are coherent configurations of rank 10 with two fibers in which the homogeneous configuration on ...
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On strongly regular signed graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regular and strongly regular relations on soft hyperrings
Soft Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Ostadhadi-Dehkordi, Kar Ping Shum
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On Regular, Strongly Regular Congruences on Ordered Semigroups
SemiGroup Forum, 2000If \((S,\cdot,\leq)\) is a partially ordered (p.o.) semigroup and \(\rho\) is a congruence on \((S,\cdot)\), then, in general, the quotient semigroup \((S/\rho,*)\) does not inherit from \((S,\leq)\) a nontrivial partial order \(\preceq\) such that \((S/\rho,*,\preceq)\) forms again a p.o. semigroup.
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Star complementary strongly regular decompositions of strongly regular graphs
Linear and Multilinear Algebra, 2019In this paper we consider strongly regular graphs G which admit a decomposition into two strongly regular graphs such that one of them, say H, is a star complement of G.
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Strongly regular vertices and partially strongly regular graphs.
Ars Comb., 2004Summary: A strongly regular vertex with parameters \((\lambda,\mu)\) in a graph is a vertex \(x\) such that the number of neighbors any other vertex \(y\) has in common with \(x\) is \(\lambda\) if \(y\) is adjacent to \(x\), and is \(\mu\) if \(y\) is not adjacent to \(x\).
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