Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXIII, No. 31, pp. 1–5 (2006) 

Graph connectivity and Wiener indexI. Gutman and S. ZhangFaculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, SerbiaDepartment of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China Abstract: The graphs with a given number $n$ of vertices and given (vertex or edge) connectivity $k$ , having minimum Wiener index are determined. In both cases this is $K_k+(K_1 \cup K_{nk1})$ , the graph obtained by connecting all vertices of the complete graph $K_k$ with all vertices of the graph whose two components are $K_{nk1}$ and $K_1$ . Keywords: graph connectivity, vertex–connectivity, edge–connectivity, Wiener index; extremal graphs Classification (MSC2000): 05C12, 05C40, 05C35 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Jun 2006. This page was last modified: 20 Jun 2011.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
