Eccentricity Properties of Glue Graphs

نویسندگان

  • T. N. Janakiraman
  • M. Bhanumathi
  • S. Muthammai
چکیده

For any graph G, the Equi-eccentric point set graph Gee is defined on the same set of vertices by joining two vertices in Gee if and only if they correspond to two vertices of G with equal eccentricities. The Glue graph Gg is defined on the same set of vertices by joining two vertices in Gg if and only if they correspond to two adjacent vertices of G or two adjacent vertices of Gee. In this paper, radius and diameter of Glue graphs are studied. Eccentricity of each vertex of a glue graph is analyzed. Bounds for radius and diameter of a glue graph are given. Also, radius and diameter of glue graphs under certain conditions are found.

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تاریخ انتشار 2008