Adjacency Matrix of a Semigraph
References (4)
Graphs and Matrices
(2012)Algebraic Graph Theory
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Cited by (13)
On the existence of semigraphs and complete semigraphs with given parameters
2021, Ain Shams Engineering JournalCitation Excerpt :The idea of two or more vertices on an edge gives rise to a variety of generalizations of concepts in graph theory, when considered in semigraph theory. Many authors have proposed matrices associated with semigraphs and studied the properties of semigraphs with the help of those matrices [8–11]. Some results on the energy of a semigraph, making use of the adjacency matrix associated with a semigraph, are studied in [12].
Energy of a semigraph
2019, AKCE International Journal of Graphs and CombinatoricsCitation Excerpt :Sampathkumar [6] generalized the definition of a graph to a semigraph in the following way. The adjacency matrix of a semigraph is defined as follows [7]. Nikiforov defined the energy of a general matrix (not necessarily square) as the summation of the singular values of that matrix.
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