Some new results on fuzzy graphs

Bansal, Roli; Rajput, Sandhya

doi:10.1109/r10-htc.2016.7906851

Cited by 1 publication

(1 citation statement)

References 9 publications

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“…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. Richa Bansal and Sandhya Rajput [20] proposed new analogous results for fuzzy spanning sub graph, complete, regular and connected fuzzy graph along with proof.…”

Section: Literature Reviewmentioning

confidence: 94%

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: 94%

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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Some new results on fuzzy graphs

Cited by 1 publication

References 9 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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