Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 1

Detourg-interior nodes and detourg-boundarynodes in bipolar fuzzy graph with applications

Pages
106–119
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Applications of detourg-distance, detourg-boundary node, detourg-interior node are given.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we obtain a characterization of bipolar fuzzy detourg-eccentric node.
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Key Findings & Data:Theconcepts of bipolar fuzzy detourg-boundary nodes and bipolar fuzzy detourg-interiornodes in a bipolar fuzzy graph are examined.
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Conclusion & Impact:Applications of detourg-distance, detourg-boundary node, detourg-interior node are given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we obtain a characterization of bipolar fuzzy detourg-eccentric node. Theconcepts of bipolar fuzzy detourg-boundary nodes and bipolar fuzzy detourg-interiornodes in a bipolar fuzzy graph are examined. Also we establish the relationship betweenbipolar fuzzy cut node and bipolar fuzzy detourg-boundary node. Some properties ofbipolar fuzzy detourg-boundary nodes, bipolar fuzzy detourg-interior nodes and bipolarfuzzy complete nodes are discussed. Bipolar fuzzy detourg-interior node and bipolar fuzzydetourg-boundary node of a bipolar fuzzy tree are introduced using maximum bipolarfuzzy spanning tree. Applications of detourg-distance, detourg-boundary node, detourg-interior node are given.

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Cite This Article

POULİK, S., GHORAİ, G. (2022). Detourg-interior nodes and detourg-boundarynodes in bipolar fuzzy graph with applications. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 106–119. https://ajindex.com/articles/529614

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References (1)

  1. M. Akram and B. Davvaz,Bipolar fuzzy graphs, Inform. Sci.181(24), 5548–5564,2011. [2]M. Akram and A. Farooq,Bipolar fuzzy tree, New Trends in Mathematical Science,4(3), 58–72, 2016. [3]M. Akram and M.G. Karunambigal,Metric in bipolar fuzzy graphs, World Appl. Sci.J.14(12), 1920–1927, 2011. [4]K.R. Bhutani and A. Rosenfeld,Strong arc in fuzzy graphs, Inform. Sci.152, 319–322,2003. [5]K.R. Bhutani and A. Rosenfeld,Fuzzy end node in fuzzy graphs, Inform. Sci.152,323–326, 2003. [6]R.A. Borzooei and H. Rashmanlou,Caley interval-valued fuzzy graphs, U. P. B. Sci.Bull. Series A,78(3), 83–94, 2016. [7]R.A. Borzooei and H. Rashmanlou,New concepts of vague graphs, Int. J. Mach.Learn. Cybernet.8, (4) 1081-1092, 2017. [8]G. Chatrand, D. Erwin, G.L. Johns and P. Zang,Boundary vertices in graphs, Dis-crete Math.263(1-3), 25–34, 2003. [9]G. Chatrand, H. Escuadro and P. Zhang,Detour distance in graph, J. Combin. Math.Combin. Comput.53, 75–94, 2005. [10]G. Chatrand, G.L. Johns and P. Zhang,Detour number of a graph, Util. Math.64,97–113, 2003. [11]G. Chartrand and Z. Ping,Introduction to graph theory, Tata McGraw-Hill Edition,2006. [12]G. Chartrand and P. Zhang,Distance in graphs-taking the long view, AKCE Int. J.Graphs Comb.1(1), 1–13, 2004. [13]G. Ghorai and M. Pal,On some operations and density ofm-polar fuzzy graphs, Pac.Sci. Rev. A: Natur. Sci. Eng.17(1), 14–22, 2015. [14]G. Ghorai and M. Pal,Faces and dual ofm-polar fuzzy planar graphs, J. Intell. FuzzySyst.31(3), 2043–2049, 2016. [15]G. Ghorai and M. Pal,Certain types of product bipolar fuzzy graphs, Int. J. Appl.Comput. Math.3(2), 605–619, 2017. [16]G. Ghorai and M. Pal,A note on “Regular bipolar fuzzy graphs” Neural Computingand Applications 21(1) 2012 197-205, Neural Comput. Appl.30(5), 1569-1572, 2018. [17]G. Ghorai, S. Sahoo and M. Pal,Certain graph parameters in bipolar fuzzy environ-ment, Int. J. Adv. Intell. Paradigms, doi:10.1504/IJAIP.2018.10024070 [18]J.P. Linda and M.S. Sunitha,Ong-eccentric nodesg-boundary nodes andg-interiornodes of a fuzzy graph, Int. J. Math. Sci. Appl.2(2), 697–707, 2012. [19]J.P. Linda and M.S. Sunitha,Fuzzy detourg-interior nodes and fuzzy detourg-boundary nodes of a fuzzy graphs, J. Intell. Fuzzy Syst.27, 435–442, 2014. [20]J.P. Linda and M.S. Sunitha,Fuzzy detourg-centre in fuzzy graphs, Ann. Fuzzy Math.Informa.7(2), 219–228, 2014. [21]K.M. Lee,Bipolar-valued fuzzy sets and their basic operations, Proc. Int. Conf.Bangkok, Thailand, 307–317, 2000. [22]S. Mandal, S. Sahoo, G. Gh