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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 17, Issue 3, Pages 293 - 303 (July 2016)
http://dx.doi.org/10.17654/AADMJul2016_293_303

TOTAL TRANSVERSAL IN GRAPH

D. K. Thakkar and B. M. Kakrecha

Abstract:

In this paper, we introduce the concept of a total transversal. We observe the effect of vertex removal on the total transversal number of the graph. When a vertex is removed from the graph, the necessary and sufficient conditions under which the total transversal number of the graph increases/decreases are proved.

Keywords and phrases:

vertex covering set, vertex covering number, total transversal, total transversal number.

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