On Van Degrees of Vertices and Van Indices of Graphs
Mathematics and Computer Science
Volume 2, Issue 4, July 2017, Pages: 35-38
Received: May 11, 2017; Accepted: May 27, 2017; Published: Jul. 7, 2017
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Authors
Süleyman Ediz, Department of Mathematics Education, Faculty of Education, Yüzüncü Yıl University, Van, Turkey
Mesut Semiz, Department of Mathematics Education, Faculty of Education, Yüzüncü Yıl University, Van, Turkey
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Abstract
Topological indices have been used to modeling biological and chemical properties of molecules in quantitive structure property relationship studies and quantitive structure activity studies. All the degree based topological indices have been defined via classical degree concept. In this paper we define two novel degree concepts for a vertex of a simple connected graph: Van degree and reverse Van degree. And also we define Van and reverse Van indices of a simple connected graph by using the Van degrees concepts. We compute the Van and reverse Van indices for well-known simple connected graphs such as paths, stars, complete graphs and cycles.
Keywords
Van Degrees, Reverse Van Degrees, Van Indices, Reverse Van Indices, Topological Indices, QSAR, QSPR
To cite this article
Süleyman Ediz, Mesut Semiz, On Van Degrees of Vertices and Van Indices of Graphs, Mathematics and Computer Science. Vol. 2, No. 4, 2017, pp. 35-38. doi: 10.11648/j.mcs.20170204.11
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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