supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region of China“Graph problems of topological parameters based on the spectra of graph matrices”(2021D01C069);the National Natural Science Foundation of the People's Republic of China“The investigation of spectral properties of graph operations and their related problems”(12161085)。
Let G be a connected graph of order n and m_(RD)^(L)_(G)I denote the number of reciprocal distance Laplacian eigenvaluesof G in an interval I.For a given interval I,we mainly present several bounds on m_(RD)^(L)_(G)I ...
Let G be a finite connected graph. The eccentric connectivity index ξ^c(G) of G is defined as ξ^c(G)=∑v∈V(G)ec(υ)deg(υ), where ec(v) and deg(υ) denote the eccentricity and degree of a vertex v in G, respectivel...
the Education Ministry Doctoral Discipline Foundation of China (Grant No.2000005634)
For an undirected unweighted graph G0=( V0, E0) and a positive integer K, the K-vertex-connectivity minimum augmentation problem ( K-VCMAP) is to find a minimum set of edges Emin such that the graph H0 = ( V0, E0 U∪ ...