Wiener–Hosoya Matrix of Connected Graphs
نویسندگان
چکیده
Let G be a connected (molecular) graph with the vertex set V(G)={v1,⋯,vn}, and let di σi denote, respectively, degree transmission of vi, for 1≤i≤n. In this paper, we aim to provide new matrix description celebrated Wiener index. fact, introduce Wiener–Hosoya G, which is defined as n×n whose (i,j)-entry equal σi2di+σj2dj if vi vj are adjacent 0 otherwise. Some properties, including upper lower bounds eigenvalues obtained extremal cases described. Further, energy matrix.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9040359