Opuscula Mathematica
Opuscula Math. 33, no. 1 (2013), 107-115

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.
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About the authors ▼
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
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Received: 2011-09-20.
Revised: 2012-07-02.
Accepted: 2012-07-23.
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Tomáš Madaras, Martina Mockovčiaková, Notes on topological indices of graph and its complement, Opuscula Math. 33, no. 1 (2013), 107-115, http://dx.doi.org/10.7494/OpMath.2013.33.1.107.
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