Muhammad AKRAM,K. P. SHUM.Bipolar neutrosophic planar graphs[J].数学研究及应用,2017,37(6):631~648
Bipolar neutrosophic planar graphs
Bipolar neutrosophic planar graphs
投稿时间:2017-03-06  修订日期:2017-04-19
DOI:10.3770/j.issn:2095-2651.2017.06.001
中文关键词:  Bipolar neutrosophic planar graphs  bipolar neutrosophic dual graphs
英文关键词:Bipolar neutrosophic planar graphs  bipolar neutrosophic dual graphs
基金项目:
作者单位
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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中文摘要:
      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.
英文摘要:
      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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