The generalized distance eigenvalues of graphs

Abstract

Abstract: The generalized distance matrix of a connected graph G is defined asD_α(G)=αTr(G)+(1－α)D(G), 0≤α≤1, where D(G) and Tr(G) represent the distance matrix and diagonal matrix of the transmissions of G, respectively. In this paper, the generalized distance correlation spectrum is studied, with the bounds of the spectrum radius, the second largest eigenvalue, and the generalized distance spectrum of the self-complementary graph given.

Key words: generalized distance matrix, generalized distance spectral radius, self-complementary graph

CLC Number:

LU Peng-li, ZHONG Yu. The generalized distance eigenvalues of graphs[J]. Journal of Lanzhou University of Technology, 2022, 48(5): 148-152.

References

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