Vol. 16 No. 3 (2017): Mapana Journal of Sciences
Research Articles

Upper Vertex Triangle Free Detour Number of a Graph

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  • S Sethu Ramalingam,
  • I Keerthi Asir,
  • S Athisayanathan
S Sethu Ramalingam
St. Xavier's College (Autonomous), Palayamkottai
Bio
I Keerthi Asir
St. Xavier's College (Autonomous), Palayamkottai
Bio
S Athisayanathan
St. Xavier's College (Autonomous), Palayamkottai
Bio
DOI: https://doi.org/10.12723/mjs.42.3

Published 2017-05-22

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.

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