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Muhammad Akram
University of the Punjab, Lahore
Mathematics

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Bipolar Neutrosophic Graph Structures Muhammad Akram; Muzzamal Sitara
Journal of the Indonesian Mathematical Society Volume 23 Number 1 (April 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.1.442.55-80

Abstract

In this research study, we introduce the concept of bipolar single-valued neutrosophic graph structures.We discuss certain notions of bipolar single-valued neutrosophic graph structures with examples.We present some methods of construction of bipolar single-valued neutrosophic graph structures.We also investigate some of their prosperities.
Certain Bipolar Neutrosophic Competition Graphs Muhammad Akram
Journal of the Indonesian Mathematical Society Volume 24 Number 1 (April 2018)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.24.1.455.1-25

Abstract

Different competitions of the real world have been designed by the bipolar neutrosophiccompetitions graphs. In this paper, we first introduce the concept of p-competition bipo-lar neutrosophic graphs. We then define generalization of bipolar neutrosophic competitiongraphs called m-step bipolar neutrosophic competition graphs. Further, we present somerelated bipolar neutrosophic graphs, including m-step bipolar neutrosophic neighbourhoodgraphs, bipolar neutrosophic economic competition graphs and m-step bipolar neutrosophiceconomic competition graphs. Finally, we describe an application of m-step bipolar neutro-sophic competition graphs.
Co-Authors Muzzamal Sitara