Bipolar neutrosophic planar graphs
Received:March 06, 2017  Revised:April 19, 2017
Key Word: Bipolar neutrosophic planar graphs   bipolar neutrosophic dual graphs  
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Author NameAffiliation
Muhammad AKRAM Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan 
K. P. SHUM Institute of Mathematics, Yunnan University, Yunnan 650091, P. R. China 
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      Fuzzy graph theory is used for solving real-world problems in different fields, including theoretical computer science, engineering, physics, combinatorics and medical sciences. In this paper, we present conepts of bipolar neutrosophic multigraphs, bipolar neutrosophic planar graphs, bipolar neutrosophic dual graphs, and study some of their related properties. We also describe applications of bipolar neutrosophic graphs in road network and electrical connections.
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