• Title of article

    The adjacency dimension of some path related trees

  • Author/Authors

    Hardany ، Elham Department of Mathematics - Faculty of Science - Imam Khomeini International University , Behtoei ، Ali Department of Mathematics - Faculty of Science - Imam Khomeini International University

  • From page
    369
  • To page
    386
  • Abstract
    ‎Since the problem of computing the adjacency dimension of a graph is NP-hard‎, ‎finding the adjacency dimension of special classes of graphs or obtaining good bounds on this invariant is valuable‎. ‎In this paper we determine the properties of each adjacency resolving set of paths. ‎Then, ‎by ‎using ‎these ‎properties,‎ we determine the adjacency dimension of broom and double broom graphs‎.
  • Keywords
    Adjacency resolving set‎ , ‎Adjacency dimension‎ , ‎Path‎ , ‎Broom‎ , ‎Tree‎
  • Journal title
    Journal of Mahani Mathematical Research Center
  • Journal title
    Journal of Mahani Mathematical Research Center
  • Record number

    2768968