On (2,(C1,C2)) Regular Bipolar Fuzzy Graph

Narayanan, Shyam; Maheswari, N.

doi:10.26708/ijmsc.2015.2.5.12

Cited by 1 publication

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References 10 publications

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“…The concept of 𝑑 2 − 𝑑𝑒𝑔𝑟𝑒𝑒 and total 𝑑 2 − 𝑑𝑒𝑔𝑟𝑒𝑒 of a vertex in a fuzzy graph was defined by Sekar and Santhimaheswari [24]. Ravi Narayanan and SanthiMaheswari introduced 𝑑 2 − 𝑑𝑒𝑔𝑟𝑒𝑒 and 𝑑 𝑚 − 𝑑𝑒𝑔𝑟𝑒𝑒 of a vertex in bipolar fuzzy graph [18] [19]. Anu j Kumar and Pradhan [3] introduced a new concept of fuzzy distance two labeling and discussed some properties related to product fuzzy graph and fuzzy distance two labeling graph.…”

Section: Literature Reviewmentioning

confidence: 99%

A New Approach on Bipolar Second Degree Perfect Fuzzy Matching for Bipolar Fuzzy Graphs Based on Vertices

J. Anusha, Dr. B. Uma Devi, R. K. Shanmugha Priya

2023

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Graph is a visual representation of data. In mathematics, graph is a structure which creates the pairwise relation between objects. The objects are known as nodes or vertices and the connection between two nodes are known as links or edges. A graph is a symmetric binary relation on a non-empty set whereas Fuzzy graph is a symmetric binary fuzzy relation on a fuzzy subset. Bipolar Fuzzy graph is a generalization of graph theory by using bipolar Fuzzy set. The bipolar Fuzzy sets are the extension of Fuzzy sets. Our main objective is to introduce Bipolar Second Degree Perfect Fuzzy Matching for Bipolar Fuzzy Graph based on vertices. Secondly, we proved the necessary conditions under which they are equivalent and also proved that for a particular condition a perfect second-degree fuzzy matching is not a regular bipolar fuzzy graph. Next, we discussed about perfect second-degree Fuzzy matching and second degree fuzzy matching number for bipolar fuzzy graph on the cycle.

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Section: Literature Reviewmentioning

confidence: 99%

A New Approach on Bipolar Second Degree Perfect Fuzzy Matching for Bipolar Fuzzy Graphs Based on Vertices

J. Anusha, Dr. B. Uma Devi, R. K. Shanmugha Priya

2023

tjjpt

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On (2,(C1,C2)) Regular Bipolar Fuzzy Graph

Cited by 1 publication

References 10 publications

A New Approach on Bipolar Second Degree Perfect Fuzzy Matching for Bipolar Fuzzy Graphs Based on Vertices

A New Approach on Bipolar Second Degree Perfect Fuzzy Matching for Bipolar Fuzzy Graphs Based on Vertices

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