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Energy of double dominating bipolar fuzzy graphs

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Abstract

In this paper, we first introduce the concepts of dominating bipolar fuzzy graphs and double dominating bipolar fuzzy graphs. Then we present the notions of energy of dominating bipolar fuzzy graphs and the energy of double dominating bipolar fuzzy graphs. We discuss some properties and bounds for the energy of dominating bipolar fuzzy graphs and energy of double dominating bipolar fuzzy graphs.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muhammad Akram & Danish Saleem

  2. Department of Mathematics, Yazd University, Yazd, Iran

    Bijan Davvaz

Authors
  1. Muhammad Akram
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  2. Danish Saleem
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  3. Bijan Davvaz
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Correspondence to Muhammad Akram.

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Akram, M., Saleem, D. & Davvaz, B. Energy of double dominating bipolar fuzzy graphs. J. Appl. Math. Comput. 61, 219–234 (2019). https://doi.org/10.1007/s12190-019-01248-z

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  • DOI: https://doi.org/10.1007/s12190-019-01248-z

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