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On Vn-Arithmetic Graph

by R. Ranjarajan, Akram Alqesmah, Anwar Alwardi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 125 - Number 9
Year of Publication: 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 },
issue_date = { September 2015 },
volume = { 125 },
number = { 9 },
month = { September },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume125/number9/22457-2015905563/ },
doi = { 10.5120/ijca2015905563 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:16:12.127386+05:30
%A R. Ranjarajan
%A Akram Alqesmah
%A Anwar Alwardi
%T On Vn-Arithmetic Graph
%J International Journal of Computer Applications
%@ 0975-8887
%V 125
%N 9
%P 1-7
%D 2015
%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
  1. F. Harary, Graph theory, Addison-Wesley, Reading Mass (1969).
  2. M.Manjuri and B.Maheswari, Strong Dominating Sets of Some Arithmetic Graphs. International Journal of Computer Applications 83(3):36-40, December 2013.
  3. M.Manjuri and B.Maheswari, Some Domination Parameters of Arithmetic Vn Graph. International Journal of Computer Applications 92(11):29-32, April 2014.
  4. 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.
  5. Nathanson, Melvyn B. Connected Components of Arithmetic Graphs. Monatshefte fr Mathematik. 1980, Vol. 89, Issue 3, pp. 219-222.
  6. 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.
  7. 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.
  8. 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.
  9. N.Vasumath. Number theoretic graphs. Ph.D. Thesis, S.V.University, Tirupati, India 1994.
Index Terms

Computer Science
Information Sciences

Keywords

Vn-Arithmetic graph m-Arithmetic graph

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