CFP last date
20 May 2024
Reseach Article

The Structural Properties of Even Free Graphs

by T.chalapathi, R.v.m.s.s.kiran Kumar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 121 - Number 2
Year of Publication: 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 },
issue_date = { July 2015 },
volume = { 121 },
number = { 2 },
month = { July },
year = { 2015 },
issn = { 0975-8887 },
pages = { 19-21 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume121/number2/21512-4476/ },
doi = { 10.5120/21512-4476 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:07:24.641569+05:30
%A T.chalapathi
%A R.v.m.s.s.kiran Kumar
%T The Structural Properties of Even Free Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 121
%N 2
%P 19-21
%D 2015
%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
  1. Alan Tucker. , - Applied Combinatorics, John Wiley and Sons Pet Ltd, Singapore.
  2. Bhattacharya, P. B. , Jain, S. K. , and Nagpaul, S. N. ,- Basic Abstract Algebra, Cambridge University Press, 2009, India.
  3. Chalapathi, T. , Madhavi. and Venkataramana,S. , - Enumeration of Triangles in a Divisor Cayley Graphs, MEJS, 2013, 163-173.
  4. Chalapathi,T. , - Studies on Enumeration Methods of Triangles and Hamilton Cycles in Cayley Graphs, Doctoral Thesis submitted to S. V. University, Tirupati, (2013), India.
  5. Godsil, C. , and Royle,G. , - Algebraic Graph Theory, Graduate Texts in Mathematics, 2001, Springer.
  6. Harary, F. , - Graph Theory, Addition-Wesley Publ. Comp. , 1969, Regarding, Massachusetts.
  7. Judson, T. W. , - Abstract Algebra, PWS Publishing Company, 1994, Boston.
  8. Madhavi. , and Chalapathi, T. , - Enumeration of Basic Hamilton Cycles in the Mangoldt Graph, IJCA (2014), 99, 44-48.
  9. Norman L. Biggs. , - Discrete Mathematics, Oxford University Press, 2003, India.
  10. Vitaly I. Voloshin. - Introduction to Graph Theory, Nova Science Publishers, 2009, Inc. New York.
  11. Van Lint, J. H. , and Wison, R. M. , - A Course in Combinatorics, Cambridge University Press, 2007, India.
  12. West, D. B. , - Introduction to Graph Theory, Prentice – Hall of India.
Index Terms

Computer Science
Information Sciences

Keywords

Even integers group Even free graph Cycles Bipartite and Complete Bipartite graph.