Notes on topological indices of graph and its complement

• Autorzy: Madaras T. , Mockovciakova M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Wiener index; Zagreb index; Randic index; bipartite graph; bipartite complement

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2013
• Tom: Vol. 33, no. 1
• Strony: 107--115
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Madaras T.

autor

Mockovciakova M.

• University of P. J. Safarik, Institute of Mathematics, Faculty of Science, Jesenna 5, 041 54 Kosice, Slovak Republic,

Bibliografia

• [1] A. A. Dobrynin, R. Entringer, I. Gutman, Wiener index of trees: theory and applications. Acta Appl. Math. 66 (2001), 211-249.
• [2] A.A. Dobrynin, I. Gutman, S. Klavzar, P. Zigert, Wiener index of hexagonal systems. Acta Appl. Math. 72 (2002), 247-294.
• [3] R.C. Entringer, D.E. Jackson, D.A. Snyder, Distance in graphs, Czech. Math. J. 26 (1976), 283-296.
• [4] R.C. Read, R.J. Wilson, An Atlas of Graphs, Clarendon Press, Oxford, 1998.
• [5] http://mapleta.maths.uwa.edu.au/^gordon/remote/graphs/^bips
• [6] Y. Yang, H. Zhang, D.J. Klein, New Nordhaus-Gaddum-type results for the Kirchhoff index, J. Math. Chem. 49 (2011) 8, 1587-1598.
• [7] L. Zhang, B. Wu, The Nordhaus-Gaddum-type inequalities for some chemical indices, MATCH Commun. Math. Comput. Chem. 54 (2005), 189-194.