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Inverse Line Domination Number of Jump Graph

by N. Pratap Babu Rao
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Communications on Applied Electronics
Foundation of Computer Science (FCS), NY, USA
Volume 7 - Number 11
Year of Publication: 2017
Authors: N. Pratap Babu Rao
10.5120/cae2017652728

N. Pratap Babu Rao . Inverse Line Domination Number of Jump Graph. Communications on Applied Electronics. 7, 11 ( Dec 2017), 9-10. DOI=10.5120/cae2017652728

@article{ 10.5120/cae2017652728,
author = { N. Pratap Babu Rao },
title = { Inverse Line Domination Number of Jump Graph },
journal = { Communications on Applied Electronics },
issue_date = { Dec 2017 },
volume = { 7 },
number = { 11 },
month = { Dec },
year = { 2017 },
issn = { 2394-4714 },
pages = { 9-10 },
numpages = {9},
url = { https://www.caeaccess.org/archives/volume7/number11/788-2017652728/ },
doi = { 10.5120/cae2017652728 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-09-04T20:01:51.536965+05:30
%A N. Pratap Babu Rao
%T Inverse Line Domination Number of Jump Graph
%J Communications on Applied Electronics
%@ 2394-4714
%V 7
%N 11
%P 9-10
%D 2017
%I Foundation of Computer Science (FCS), NY, 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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Index Terms

Computer Science
Information Sciences

Keywords

Graph circumference diameter domination inverse line domination number jump graph.

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