Research Article
The Non-Split Domination Number of a Jump Graphs
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Communications on Applied Electronics
Foundation of Computer Science (FCS), NY, USA
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| Volume 7 - Issue 13 |
| Published: Feb 2018 |
| Authors: N. Pratap Babu Rao, Sweta N. |
10.5120/cae2018652752
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N. Pratap Babu Rao, Sweta N. . The Non-Split Domination Number of a Jump Graphs. Communications on Applied Electronics. 7, 13 (Feb 2018), 27-28. DOI=10.5120/cae2018652752
@article{ 10.5120/cae2018652752,
author = { N. Pratap Babu Rao,Sweta N. },
title = { The Non-Split Domination Number of a Jump Graphs },
journal = { Communications on Applied Electronics },
year = { 2018 },
volume = { 7 },
number = { 13 },
pages = { 27-28 },
doi = { 10.5120/cae2018652752 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2018
%A N. Pratap Babu Rao
%A Sweta N.
%T The Non-Split Domination Number of a Jump Graphs%T
%J Communications on Applied Electronics
%V 7
%N 13
%P 27-28
%R 10.5120/cae2018652752
%I Foundation of Computer Science (FCS), NY, USA
Abstract
A dominating set D of a jump graph J(G) is a non split dominating set of a jump graph if the induced sub graph < E(J(G)) – D> is connected the non split domination √ns J(G) is minimum cardinality of a non-split dominating set. In this paper many bound of √ns J(G) are obtained and its exact values of some standard graphs are found. Also its relationship with other parameters are investigated.
References
- G. Chartrand and L.Lesnaik, Graphsand Digraphs chapman and hall Madras (1996)
- E.J. Cockayne, Domination of undirected graphs. A survey in theory and applications of GraphsLNM642 springer-verlog 1978 141-147.
- E.J. Cockayne and S.T. Hedetniemi a Net work 7(1977)247-261.
- 4. F. Harary Graph theory addition Wesley Reading mass (1969).
- V.R. Kulli and B. Janakiram The non split domination number of graph Indian. J. phy.appl.Math. 31(40 441-447 (2000)
- V. R. Kulli and B.Janakiram, The split domination number of a graph Theory Notes of New York New York Academy of Sciences (1997) XXXII 16-19.
- E. Sampath Kumar and H.B. Walikar J.Math.Phys.Sci 13 (1979)607-613.
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