Upper Vertex Triangle Free Detour Number of a Graph

Authors

  • S Sethu Ramalingam St. Xavier's College (Autonomous), Palayamkottai
  • I Keerthi Asir St. Xavier's College (Autonomous), Palayamkottai
  • S Athisayanathan St. Xavier's College (Autonomous), Palayamkottai

DOI:

https://doi.org/10.12723/mjs.42.3

Abstract

For a graph G, the x-triangle free detour set, the x-triangle free detour number, the minimal x-triangle free detour set, the upper x-triangle free detour number, are defined and studied. Certain bounds are determined and the relation with the vertex triangle free detour number of a graph is found out. Some realization problems, properties related to the upper vertex detour number, the upper vertex detour monophonic number and the upper vertex geodetic number are also studied.

Author Biographies

S Sethu Ramalingam, St. Xavier's College (Autonomous), Palayamkottai

Departement of Mathematics, St. Xavier's College(Autonomous), Palayamkottai 627002

I Keerthi Asir, St. Xavier's College (Autonomous), Palayamkottai

Departement of Mathematics, St. Xavier's College(Autonomous), Palayamkottai 627002

S Athisayanathan, St. Xavier's College (Autonomous), Palayamkottai

St. Xavier's College(Autonomous), Palayamkottai 627002

Additional Files

Published

2017-05-22