D. K. Thakkar; V. R. Dave

International Journal of Mathematical Sciences and Computing (IJMSC)

IJMSC Vol. 5, No. 2, 8 Apr. 2019

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Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs

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Author(s)

D. K. Thakkar ¹ V. R. Dave ²

1. Department of Mathematics, Saurashtra University, Rajkot – 360 005, India

2. Shree M. & N. Virani Science College, Kalavad Road, Rajkot – 360 005, India

* Corresponding author.

DOI: https://doi.org/10.5815/ijmsc.2019.02.06

Received: 20 Sep. 2018 / Revised: 4 Oct. 2018 / Accepted: 17 Oct. 2018 / Published: 8 Apr. 2019

Index Terms

Hypergraph, Edge Stable Set, Maximum Edge Stable Set, Maximal Edge Stable Set, Secured Edge Stable Set, Maximum Secured Edge Stable Set, i_(s )^1- Set, Partial Subhypergraph

Abstract

In this paper, we have proved several results regarding edge stable sets and maximal edge stable sets in hypergraphs. We have also proved various results regarding edge stable sets and maximal edge stable sets in partial subhypergraphs. We have introduced the concept of secured edge stable set, maximum secured edge stable set and i_(s )^1- Set in this paper and proved several results about them.

Cite This Paper

D. K. Thakkar, V. R. Dave,"Edge Stable Sets and Secured Edge Stable Sets in Hypergraphs", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.5, No.2, pp.71-81, 2019. DOI: 10.5815/ijmsc.2019.02.06

Reference

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[9]Thakkar D. and Dave V., Regarding Edge Domination in Hypergraph, International Journal of Mathematics Trends & Technology, Volume 44, NO. 3(2017) 108 – 114.

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[11]Thakkar D.and Kakrech B., About Secure Independence in Graphs, Advances and Application in Discrete Mathematics, Pushpa Publishing House, accepted.