Research Article
On Vn-Arithmetic Graph
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 125 - Issue 9 |
| Published: September 2015 |
| Authors: R. Ranjarajan, Akram Alqesmah, Anwar Alwardi |
10.5120/ijca2015905563
|
R. Ranjarajan, Akram Alqesmah, Anwar Alwardi . On Vn-Arithmetic Graph. International Journal of Computer Applications. 125, 9 (September 2015), 1-7. DOI=10.5120/ijca2015905563
@article{ 10.5120/ijca2015905563,
author = { R. Ranjarajan,Akram Alqesmah,Anwar Alwardi },
title = { On Vn-Arithmetic Graph },
journal = { International Journal of Computer Applications },
year = { 2015 },
volume = { 125 },
number = { 9 },
pages = { 1-7 },
doi = { 10.5120/ijca2015905563 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2015
%A R. Ranjarajan
%A Akram Alqesmah
%A Anwar Alwardi
%T On Vn-Arithmetic Graph%T
%J International Journal of Computer Applications
%V 125
%N 9
%P 1-7
%R 10.5120/ijca2015905563
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Vn-Arithmetic graph has been introduced by Vasumathi and Vangipuram [9]. In this paper some properties of Vn-Arithmetic graph, maximum degree, minimum degree, number of edges, diameter, radius, Hamiltonian and Eulerian are studied. Also, we introduce m-Arithmetical graphs. Some properties and interesting results for m-Arithmetical graphs are established.
References
- F. Harary, Graph theory, Addison-Wesley, Reading Mass (1969).
- M.Manjuri and B.Maheswari, Strong Dominating Sets of Some Arithmetic Graphs. International Journal of Computer Applications 83(3):36-40, December 2013.
- M.Manjuri and B.Maheswari, Some Domination Parameters of Arithmetic Vn Graph. International Journal of Computer Applications 92(11):29-32, April 2014.
- M.Manjuri and B Maheswari, Strong Dominating Sets of Direct Product Graph of Cayley Graphs with Arithmetic Graphs. International Journal of Applied Information Systems 7(4):15- 21, June 2014.
- Nathanson, Melvyn B. Connected Components of Arithmetic Graphs. Monatshefte fr Mathematik. 1980, Vol. 89, Issue 3, pp. 219-222.
- S.Uma Maheswari and B.Maheswari, Some Domination parameters of Arithmetic Graph Vn, IOSR, Journal of Mathematics, Volume 2,Issue 6,(Sep- Oct 2012), 14 -18.
- S.Uma Maheswari, B.Maheswari and M.Manjuri, Some Domination Parameters of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs. International Journal of Computer Applications 58(9):32-38, November 2012.
- S.Uma Maheswari, B.Maheswari and M.Manjuri, Matching Dominating Sets of Direct Product Graphs of Cayley Graphs with Arithmetic Graphs. International Journal of Computer Applications 60(11):11-16, December 2012.
- N.Vasumath. Number theoretic graphs. Ph.D. Thesis, S.V.University, Tirupati, India 1994.
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