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Fuzzy Tolerance Graphs

In: Modern Trends in Fuzzy Graph Theory

Author

Listed:
  • Madhumangal Pal

    (Vidyasagar University, Department of Applied Mathematics)

  • Sovan Samanta

    (Tamralipta Mahavidyalaya, Department of Mathematics)

  • Ganesh Ghorai

    (Vidyasagar University, Department of Applied Mathematics)

Abstract

Golumbic and Trenk first introduced tolerance graph [7] to generalize some well-known applications of interval graphs. In a tolerance graph, every vertex is represented by an interval and a tolerance such that an edge occurs if and only if the overlap of corresponding intervals is at least as large as the tolerance associated with one of the vertices. Resource allocation sharing tolerate among users and certain scheduling problems can be modeled by tolerance graphs.

Suggested Citation

  • Madhumangal Pal & Sovan Samanta & Ganesh Ghorai, 2020. "Fuzzy Tolerance Graphs," Springer Books, in: Modern Trends in Fuzzy Graph Theory, chapter 0, pages 153-173, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-8803-7_6
    DOI: 10.1007/978-981-15-8803-7_6
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