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Inverse Line Domination Number of Jump Graph

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N. Pratap Babu Rao. Published in Applied Mathematics.

Inverse Line Domination Number of Jump Graph
Communications on Applied Electronics
Year of Publication: 2017
Publisher: Foundation of Computer Science (FCS), NY, USA
Series: Volume 7 Number 11
Authors: N. Pratap Babu Rao
10.5120/cae2017652728
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Pratap Babu N Rao. Inverse Line Domination Number of Jump Graph. Communications on Applied Electronics 7(11):9-10, December 2017. BibTeX

@article{10.5120/cae2017652728,
	author = {N. Pratap Babu Rao},
	title = {Inverse Line Domination Number of Jump Graph},
	journal = {Communications on Applied Electronics},
	issue_date = {December 2017},
	volume = {7},
	number = {11},
	month = {Dec},
	year = {2017},
	issn = {2394-4714},
	pages = {9-10},
	numpages = {2},
	url = {http://www.caeaccess.org/archives/volume7/number11/788-2017652728},
	doi = {10.5120/cae2017652728},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

Let J(G) =(V,E) be a jump graph. Let D is minimum line dominating set in a jump graph E(J(G)). If E-D contains a line dominating set D’ of E(J(G)) then D’ is called an inverse dominating set with respect to D. The cardinality of an inverse line dominating set of a jump graph J(G) is called inverse line dominating set of E(JG)).

In this paper we study theoretic properties of inverse line domination of jump graph and its exact value for some standard graphs. The relation between inverse line domination of jump graph with other parameters is also investigated.

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Keywords

Graph circumference, diameter, domination, inverse line domination number, jump graph.