• Title of article

    WATCHING SYSTEMS OF TRIANGULAR GRAPHS

  • Author/Authors

    روزبياني، مريم نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran Roozbayani, Maryam , ميمني، حميدرضا نويسنده , , تهرانيان، ابوالفضل نويسنده دانشگاه آزاد اسلامي علوم و تحقيقات تهران, ,

  • Issue Information
    فصلنامه با شماره پیاپی 0 سال 2014
  • Pages
    7
  • From page
    51
  • To page
    57
  • Abstract
    A watching system in a graph G = (V;E) is a set W = f!1; !2; : : : ; !kg, where !i = (vi;Zi); vi 2 V and Zi is a subset of closed neighborhood of vi such that the sets LW(v) = f!i : v 2 Zig are non-empty and distinct, for any v 2 V . In this paper, we study the watching systems of line graph Kn which is called triangular graph and denoted by T(n). The minimum size of a watching system of G is denoted by !(G). We show that !(T(n)) = d2n 3 e.
  • Journal title
    Transactions on Combinatorics
  • Serial Year
    2014
  • Journal title
    Transactions on Combinatorics
  • Record number

    1116656