Opuscula Math. 33, no. 1 (2013), 107-115
Notes on topological indices of graph and its complement
Abstract. In this note, we derive the lower bound on the sum for Wiener index of bipartite graph and its bipartite complement, as well as the lower and upper bounds on this sum for the Randić index and Zagreb indices. We also discuss the quality of these bounds.
Keywords: Wiener index, Zagreb index, Randić index, bipartite graph, bipartite complement.
Mathematics Subject Classification: 05C12.
- Received: 2011-09-20.
- Revised: 2012-07-02.
- Accepted: 2012-07-23.