• Title of article

    Golden ratio in graph theory: a survey

  • Author/Authors

    Alikhani ، Saeid Department of Mathematical Sciences - Yazd University , Ghanbari ، Nima Department of Mathematical Sciences - Yazd University

  • From page
    147
  • To page
    161
  • Abstract
    Much has been written about the golden ratio ϕ = 1+ √5/2 and this strange number appears mysteriously in many mathematical calculations. In this article, we review the appearance of this number in the graph theory. More precisely, we review the relevance of this number in topics such as the number of spanning trees, topological indices, energy, chromatic roots, domination roots and the number of domatic partitions of graphs.
  • Keywords
    Golden ratio , domatic partition , dominating set
  • Journal title
    Journal of Discrete Mathematics and Its Applications
  • Journal title
    Journal of Discrete Mathematics and Its Applications
  • Record number

    2776221