Results 61 to 70 of about 38,730 (201)
Network motifs are patterns of complex networks occurring significantly more frequently than those in random networks. They have been considered as fundamental building blocks of complex networks.
Jialu Hu, Xuequn Shang
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Self-Dual and LCD Codes from Kneser Graphs K(n, 2) and Generalized Quadrangles
In this paper, we study self-dual and LCD codes constructed from Kneser graphs K(n, 2) and collinearity graphs of generalized quadrangles using the so-called pure and bordered construction. We determine conditions under which these codes are self-dual or
Dean Crnković, Ana Grbac
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Some Inequalities over the Eigenvalues of a Strongly Regular Graph
Luís Almeida Vieira
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Some New Cyclotomic Strongly Regular Graphs [PDF]
Given a field \(F\) and a subset \(D\) of \(F^*\) such that \(D= -D\), one can define a graph \(\Gamma\) with vertex set \(F\) by letting \(x\sim y\) whenever \(y- x\in D\). Several authors have studied the problem of finding sets \(D\) such that the graph \(\Gamma\) is strongly regular and many examples are known.
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Identifying Codes in Vertex-Transitive Graphs and Strongly Regular Graphs [PDF]
Sylvain Gravier +4 more
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q-analogs of strongly regular graphs
We introduce the notion of q-analogs of strongly regular graphs and give several examples of such structures. We prove a necessary condition on the parameters, show the connection to designs over finite fields, and present a classification.
Michael Braun +4 more
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Some families of directed strongly regular graphs obtained from certain\n finite incidence structures [PDF]
Oktay Ölmez, Sung‐Yell Song
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Strongly Regular Fusions of Tensor Products of Strongly Regular Graphs
Let \(G\) and \(H\) be strongly regular graphs with (0, 1)-adjacency matrices \(A_ 0= I\), \(A_ 1\), \(A_ 2= J-I- A_ 1\) and \(B_ 0= I\), \(B_ 1,\) \(B_ 2= J- I- B_ 1\) respectively. The tensor product \(G\otimes H\) is defined to be the nine class association scheme with adjacency matrices \(A_ i\otimes B_ j\). By combining (fusing) some of these nine
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On directed strongly regular Cayley graphs over non-abelian groups with an abelian subgroup of index $2$ [PDF]
Xueyi Huang, Lu Lu, Jongyook Park
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