On the Seidel spectrum of threshold graphs
نویسندگان
چکیده
We consider a connected threshold graph G with A, S as its adjacency matrix and Seidel respectively. In this paper several spectral properties of are analysed. compute the characteristic polynomial determinant S. A formula for multiplicity eigenvalues $$\pm 1$$ characterisation graphs at most five distinct derived. Finally it is shown that two non isomorphic may be cospectral
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Seidel Signless Laplacian Energy of Graphs
Let $S(G)$ be the Seidel matrix of a graph $G$ of order $n$ and let $D_S(G)=diag(n-1-2d_1, n-1-2d_2,ldots, n-1-2d_n)$ be the diagonal matrix with $d_i$ denoting the degree of a vertex $v_i$ in $G$. The Seidel Laplacian matrix of $G$ is defined as $SL(G)=D_S(G)-S(G)$ and the Seidel signless Laplacian matrix as $SL^+(G)=D_S(G)+S(G)$. The Seidel signless Laplacian energy $E_{SL^+...
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ژورنال
عنوان ژورنال: Indian Journal of Pure and Applied Mathematics
سال: 2023
ISSN: ['0019-5588', '0975-7465', '2455-0000']
DOI: https://doi.org/10.1007/s13226-023-00436-9