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Journal of Applied Mathematics and Computing

, Volume 47, Issue 1–2, pp 461–472 | Cite as

\(m\)-Step fuzzy competition graphs

  • Sovan Samanta
  • Muhammad Akram
  • Madhumangal Pal
Original Research

Abstract

Presently, fuzzy graph theory has wide applications in engineering and social networks. Based on the applications, different types of fuzzy graphs are defined. Among them the competition graph is significantly used to model ecological problems. This graph is one kind of intersection graph. Different competitions of real world have been designed by fuzzy competition graphs. One generalization of fuzzy competition graph, called \(m\)-step fuzzy competition graph, is defined in this paper. Some related fuzzy graphs including fuzzy \(m\)-step neighbourhood graph, fuzzy economic competition graphs and fuzzy \(m\)-step economic competition graphs are introduced. Some properties of these new graphs have been investigated.

Keywords

Fuzzy graphs \(m\)-Step fuzzy competition graphs Fuzzy neighbourhood graphs Fuzzy economic graphs 

Mathematics Subject Classification

05C72 05C99 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2014

Authors and Affiliations

  • Sovan Samanta
    • 1
  • Muhammad Akram
    • 2
  • Madhumangal Pal
    • 3
  1. 1.Department of MathematicsJoykrishnapur High School (H.S.)TamlukIndia
  2. 2. Department of mathematicsUniversity of the PunjabLahorePakistan
  3. 3.Department of Applied Mathematics with Oceanology and Computer ProgrammingVidyasagar UniversityMidnaporeIndia

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