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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 walk-regular graphs [PDF]
Journal of Combinatorial Theory - Series A, 2013 We study a generalization of strongly regular graphs. We call a graph strongly walk-regular if there is an $\ell >1$ such that the number of walks of length $\ell$ from a vertex to another vertex depends only on whether the two vertices are the same, adjacent, or not adjacent. We will show that a strongly walk-regular graph must be an empty graph, a
G R Omidi, E R van Dam
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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 signed graphs
Discrete Applied Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On strongly regular self ‐ complementary graphs
Journal of Graph Theory, 1981AbstractIt is shown that certain conditions assumed on a regular self‐complementary graph are not sufficient for the graph to be strongly regular, answering in the negative a question posed by Kotzig in [1].
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2011
A graph (simple, undirected, and loopless) of order v is called strongly regular with parameters v, k,λ,μ whenever it is not complete or edgeless.
Andries E. Brouwer, Willem H. Haemers
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A graph (simple, undirected, and loopless) of order v is called strongly regular with parameters v, k,λ,μ whenever it is not complete or edgeless.
Andries E. Brouwer, Willem H. Haemers
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A Note on Directed Strongly Regular Graphs
Graphs and Combinatorics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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On the (99,14,1,2) strongly regular graph
1984The existence of a strongly regular graph with parameters as in the title is still in doubt. It is proved that there is no such graph with an automorphism of order 11, and the only primes which could divide the order of the automorphism group of such a graph are 2, 3, 5 and 7.
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