EXCELLENT-JUST EXCELLENT-DEGREE EQUITABLE DOMINATION IN GRAPHS

##plugins.themes.bootstrap3.article.main##

##plugins.themes.bootstrap3.article.sidebar##

PDF
Published Oct 3, 2013
K.M. Dharmalingam*, V. Swaminathan

Abstract

Let G = (V, E) be a simple graph. A subset D of V(G) is said to be a degree equitable dominating set of G if for every there exists a vertex such that u and v are adjacent &1)vdeg()udeg(≤−. The minimum cardinality of a degree equitable dominating set of G is denoted by )G(eγ. A degree equitable dominating set of G of minimum cardinality is called as a eγ-set of G. G is said to be eγ-excellent if every vertex of G belongs to a eγ-set of G. This paper aims at the study of the new concept namely degree equitable excellent graphs. Just eγ-excellence is also defined and studied. Results on these new concepts are compared with those with respect to domination excellence and justγ-excellence in graphs. 2010 Mathematics Subject Classification : 05C69

How to Cite

EXCELLENT-JUST EXCELLENT-DEGREE EQUITABLE DOMINATION IN GRAPHS. (2013). Asian Journal of Current Engineering and Maths, 1(2). http://informaciontechnologica.com/index.php/ajcem/article/view/35
Abstract 130 | PDF Downloads 122

##plugins.themes.bootstrap3.article.details##

Issue
Vol 1 No 2 (2012): ASIAN JOURNAL OF CURRENT ENGINEERING AND MATHS
Section
Articles

COPYRIGHT AGREEMENT AND AUTHORSHIP RESPONSIBILITY

 

All paper submissions must carry the following duly signed by all the authors:

“I certify that I have participated sufficiently in the conception and design of this work and the analysis of the data (wherever applicable), as well as the writing of the manuscript, to take public responsibility for it. I believe the manuscript represents valid work. I have reviewed the final version of the manuscript and approve it for publication. Neither has the manuscript nor one with substantially similar content under my authorship been published nor is being considered for publication elsewhere, except as described in an attachment. Furthermore I attest that I shall produce the data upon which the manuscript is based for examination by the editors or their assignees, if requested.”

How to Cite

EXCELLENT-JUST EXCELLENT-DEGREE EQUITABLE DOMINATION IN GRAPHS. (2013). Asian Journal of Current Engineering and Maths, 1(2). http://informaciontechnologica.com/index.php/ajcem/article/view/35