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Novel Concepts of Strongly Edge Irregular m-Polar Fuzzy Graphs

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Abstract

A graph structure is a useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we present a frame work to handle m-polar fuzzy information by combining the theory of m-polar fuzzy sets with graphs. We introduce the notion of strongly edge irregular and strongly edge totally irregular m-polar fuzzy graphs. Some properties of them are also studied to characterize strongly edge irregular and strongly edge totally irregular m-polar fuzzy graphs.

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Acknowledgements

Financial support for the first author offered under the Innovative Research Scheme, UGC, New Delhi, India (Ref. No.VU/Innovative/Sc/15/2015) is thankfully acknowledged.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721 102, India

    Ganesh Ghorai & Madhumangal Pal

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  1. Ganesh Ghorai
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  2. Madhumangal Pal
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Correspondence to Ganesh Ghorai.

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Ghorai, G., Pal, M. Novel Concepts of Strongly Edge Irregular m-Polar Fuzzy Graphs. Int. J. Appl. Comput. Math 3, 3321–3332 (2017). https://doi.org/10.1007/s40819-016-0296-y

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  • DOI: https://doi.org/10.1007/s40819-016-0296-y

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