Research Article
The Structural Properties of Even Free Graphs
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 121 - Issue 2 |
| Published: July 2015 |
| Authors: T.Chalapathi, R.V.M.S.S.Kiran Kumar |
10.5120/21512-4476
|
T.Chalapathi, R.V.M.S.S.Kiran Kumar . The Structural Properties of Even Free Graphs. International Journal of Computer Applications. 121, 2 (July 2015), 19-21. DOI=10.5120/21512-4476
@article{ 10.5120/21512-4476,
author = { T.Chalapathi,R.V.M.S.S.Kiran Kumar },
title = { The Structural Properties of Even Free Graphs },
journal = { International Journal of Computer Applications },
year = { 2015 },
volume = { 121 },
number = { 2 },
pages = { 19-21 },
doi = { 10.5120/21512-4476 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2015
%A T.Chalapathi
%A R.V.M.S.S.Kiran Kumar
%T The Structural Properties of Even Free Graphs%T
%J International Journal of Computer Applications
%V 121
%N 2
%P 19-21
%R 10.5120/21512-4476
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In this paper we introduced Group theoretic graph ε2n, even free graph associated with the finite abelian group(Z2n,⊕) for each n≥1, also we explore structural properties of ε2n and including enumeration of edges and cycles in ε2n
References
- Alan Tucker. , - Applied Combinatorics, John Wiley and Sons Pet Ltd, Singapore.
- Bhattacharya, P. B. , Jain, S. K. , and Nagpaul, S. N. ,- Basic Abstract Algebra, Cambridge University Press, 2009, India.
- Chalapathi, T. , Madhavi. and Venkataramana,S. , - Enumeration of Triangles in a Divisor Cayley Graphs, MEJS, 2013, 163-173.
- Chalapathi,T. , - Studies on Enumeration Methods of Triangles and Hamilton Cycles in Cayley Graphs, Doctoral Thesis submitted to S. V. University, Tirupati, (2013), India.
- Godsil, C. , and Royle,G. , - Algebraic Graph Theory, Graduate Texts in Mathematics, 2001, Springer.
- Harary, F. , - Graph Theory, Addition-Wesley Publ. Comp. , 1969, Regarding, Massachusetts.
- Judson, T. W. , - Abstract Algebra, PWS Publishing Company, 1994, Boston.
- Madhavi. , and Chalapathi, T. , - Enumeration of Basic Hamilton Cycles in the Mangoldt Graph, IJCA (2014), 99, 44-48.
- Norman L. Biggs. , - Discrete Mathematics, Oxford University Press, 2003, India.
- Vitaly I. Voloshin. - Introduction to Graph Theory, Nova Science Publishers, 2009, Inc. New York.
- Van Lint, J. H. , and Wison, R. M. , - A Course in Combinatorics, Cambridge University Press, 2007, India.
- West, D. B. , - Introduction to Graph Theory, Prentice – Hall of India.
Index Terms
Keywords