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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 57 | Number 1 | Year 2018 | Article Id. IJMTT-V57P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P503

The Split Domination of a Jump Graph


N.Pratap Babu Rao, Sweta.N
Abstract

A dominating set D of a jump graph J(G)=(V, E) is a split dominating set if the induced sub graph < V-D > is disconnected.A split dominating number √s(J(G)) of jump graph J(G) is the minimum cardinality of a split dominating set. In this paper we study split dominating sets and investigate the relation of √s(J(G)) with other known parameters of J(G).

Keywords
jump graph, cardinality, isolated vertices, Split
References

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Citation :

N.Pratap Babu Rao, Sweta.N, "The Split Domination of a Jump Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 1, pp. 21-23, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P503

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