Achievable Single-Valued Neutrosophic Graphs in Wireless Sensor Networks

Mohammad Hamidi and Arsham Borumand Saeid ()
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Mohammad Hamidi: Department of Mathematics, Faculty of Mathematics, Payame Noor University, Tehran, Iran
Arsham Borumand Saeid: Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

New Mathematics and Natural Computation (NMNC), 2018, vol. 14, issue 02, 157-185

Abstract: This paper considers wireless sensor (hyper) networks by single-valued neutrosophic (hyper)graphs. It tries to extend the notion of single-valued neutrosophic graphs to single-valued neutrosophic hypergraphs and it is derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via positive equivalence relation. We use single-valued neutrosophic hypergraphs and positive equivalence relation to create the sensor clusters and access to cluster heads. Finally, the concept of (extended) derivable single-valued neutrosophic graph is considered as the energy clustering of wireless sensor networks and is applied this concept as a tool in wireless sensor (hyper) networks.

Keywords: Single-valued neutrosophic (graphs) hypergraphs; positive equivalence relation; extendable single-valued neutrosophic graph; WSN (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1142/S1793005718500114

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