Opuscula Math. 33, no. 1 (2013), 107-115
http://dx.doi.org/10.7494/OpMath.2013.33.1.107
Opuscula Mathematica
Notes on topological indices of graph and its complement
Tomáš Madaras
Martina Mockovčiaková
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.
- Tomáš Madaras
- University of P. J. Šafárik, Institute of Mathematics, Faculty of Science, Jesenná 5, 041 54 Košice, Slovak Republic
- Martina Mockovčiaková
- University of P. J. Šafárik, Institute of Mathematics, Faculty of Science, Jesenná 5, 041 54 Košice, Slovak Republic
- Received: 2011-09-20.
- Revised: 2012-07-02.
- Accepted: 2012-07-23.
