Degree Kirchhoff Index of Unicyclic Graphs

作者：Feng, Lihua^*; Gutman, Ivan; Yu, Guihai

来源：MATCH-Communications in Mathematical and in Computer Chemistry, 2013, 69(3): 629-648.

• MOLECULAR TOPOLOGICAL INDEX
• DEGREE DISTANCE
• RESISTANCE DISTANCE
• LAPLACIAN SPECTRUM
• WIENER INDEX
• MINIMUM
• BOUNDS

Let G be a connected graph with vertex set V(G). The degree Kirchhoff index of G is defined as S'(G) = Sigma({u,v}subset of V(G))d(u)d(v)R(u,v), where d(u) is the degree of vertex u, and R(u, v) denotes the resistance distance between vertices u and v. In this paper we characterize n-vertex unicyclic graphs having maximum, second-maximum, minimum, and second-minimum degree Kirchhoff index.

• 出版日期2013
• 单位重庆师范大学