Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
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
Czasopismo
Rocznik
Tom
Strony
107--115
Opis fizyczny
Bibliogr. 7 poz., rys.
Twórcy
autor
autor
- University of P. J. Safarik, Institute of Mathematics, Faculty of Science, Jesenna 5, 041 54 Kosice, Slovak Republic, tomas.madaras@upjs.sk
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.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGHT-0009-0011