• Title of article

    New class of integral bipartite graphs with large diameter

  • Author/Authors

    Fiuj Laali ، Alireza - Shahed University , Haj Seyyed Javadi ، Hamid - Shahed University

  • Pages
    5
  • From page
    13
  • To page
    17
  • Abstract
    In this paper‎, ‎we construct a new class of integral bipartite graphs (not necessarily trees) with large even diameters‎. ‎In fact‎, ‎for every finite set A of positive integers of size k we construct an integral bipartite graph G of diameter 2k such that the set of positive eigenvalues of G is exactly A‎. ‎This class of integral bipartite graphs has never found before‎.
  • Keywords
    Integral graph , Diameter , root
  • Journal title
    Transactions on Combinatorics
  • Serial Year
    2018
  • Journal title
    Transactions on Combinatorics
  • Record number

    2448958