Volume 6, Issue 6, December 2017, Page: 259-264
Schultz and Modified Schultz Polynomials of Cog-Complete Bipartite Graphs
Ahmed Mohammed Ali, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Haitham Nashwan Mohammed, Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Received: Sep. 9, 2017;       Accepted: Nov. 9, 2017;       Published: Dec. 18, 2017
DOI: 10.11648/j.acm.20170606.14      View  732      Downloads  47
Abstract
Let G be a simple connected graph, the vertex- set and edge- set of G are denoted by V(G) and E(G), respectively. The molecular graph G, the vertices represent atoms and the edges represent bonds. In graph theory, we have many invariant polynomials and many invariant indices of a connected graph G. Topological indices based on the distance between the vertices of a connected graph are widely used in theoretical chemistry to establish relation between the structure and the properties of molecules. The coefficients of polynomials are also important in the knowledge some properties in application chemistry. The Schultz and modified Schultz polynomials, Schultz and modified Schultz indices and average distance of Schultz and modified Schultz of Cog-complete bipartite graphs are obtained in this paper.
Keywords
Schultz and Modified Schultz Polynomials, Cog-Complete Bipartite Graphs, Topological Indices, Boundary Average Distance
To cite this article
Ahmed Mohammed Ali, Haitham Nashwan Mohammed, Schultz and Modified Schultz Polynomials of Cog-Complete Bipartite Graphs, Applied and Computational Mathematics. Vol. 6, No. 6, 2017, pp. 259-264. doi: 10.11648/j.acm.20170606.14
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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