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The Non-Split Domination Number of a Jump Graphs

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N. Pratap Babu Rao, Sweta N.. Published in Applied Mathematics.

The Non-Split Domination Number of a Jump Graphs
Communications on Applied Electronics
Year of Publication: 2018
Publisher: Foundation of Computer Science (FCS), NY, USA
Series: Volume 7 Number 13
Authors: N. Pratap Babu Rao, Sweta N.
10.5120/cae2018652752
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Pratap Babu N Rao and Sweta N.. The Non-Split Domination Number of a Jump Graphs. Communications on Applied Electronics 7(13):27-28, February 2018. BibTeX

@article{10.5120/cae2018652752,
	author = {N. Pratap Babu Rao and Sweta N.},
	title = {The Non-Split Domination Number of a Jump Graphs},
	journal = {Communications on Applied Electronics},
	issue_date = {February 2018},
	volume = {7},
	number = {13},
	month = {Feb},
	year = {2018},
	issn = {2394-4714},
	pages = {27-28},
	numpages = {2},
	url = {http://www.caeaccess.org/archives/volume7/number13/801-2018652752},
	doi = {10.5120/cae2018652752},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, 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

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  3. E.J. Cockayne and S.T. Hedetniemi a Net work 7(1977)247-261.
  4. 4. F. Harary Graph theory addition Wesley Reading mass (1969).
  5. V.R. Kulli and B. Janakiram The non split domination number of graph Indian. J. phy.appl.Math. 31(40 441-447 (2000)
  6. 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.
  7. E. Sampath Kumar and H.B. Walikar J.Math.Phys.Sci 13 (1979)607-613.

Keywords

Graphs, domination number, Non split domination number