Upper Vertex Triangle Free Detour Number of a Graph

  • 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

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

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

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

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

Published
2017-05-10
How to Cite
SETHU RAMALINGAM, S; KEERTHI ASIR, I; ATHISAYANATHAN, S. Upper Vertex Triangle Free Detour Number of a Graph. Mapana Journal of Sciences, [S.l.], v. 16, n. 3, p. 27-40, may 2017. ISSN 0975-3303. Available at: <http://journals.christuniversity.in/index.php/mapana/article/view/1007>. Date accessed: 17 oct. 2017. doi: https://doi.org/10.12723/mjs.42.3.
Section
Research Articles