Degree Distance of Unicyclic Graphs with Given Matching Number

作者:Feng, Lihua*; Liu, Weijun; Ilic, Aleksandar; Yu, Guihai
来源:Graphs and Combinatorics, 2013, 29(3): 449-462.
DOI:10.1007/s00373-012-1143-5

摘要

Let G be a connected graph with vertex set V(G). The degree distance of G is defined as , where d (G) (u) is the degree of vertex u, d(u, v) denotes the distance between u and v, and the summation goes over all pairs of vertices in G. In this paper, we characterize n-vertex unicyclic graphs with given matching number and minimal degree distance.