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Degree Adjacency Diametrical Matrix of Graphs Spectral Properties and Energy Bounds

S, Celine Prabha et al.
arXiv (All) · Papers
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05c1505c6905c76combinatoricsg-2-2
Graph matrices that combine structural and metric information have attracted considerable attention in spectral graph theory. In this paper, we introduce the \emph{Degree--Adjacency--Diametrical (DAD) matrix} of a connected graph $G$. The DAD matrix is defined by \[ (DAD(G))_{ij}= \begin{cases
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