Degree Equitable Connected cototal dominating graph

Shigehalli V.S, Vijayakumar Patil ยท IOSR Journal of Mathematics ยท 2017

The degree equitable connected cototal dominating graph ๐ท ๐‘ ๐‘’ (๐บ) of a graph ๐บ = (๐‘‰, ๐ธ) is a graph with ๐‘‰ ๐ท ๐‘ ๐‘’ ๐บ = ๐‘‰(๐บ) โˆช ๐น, where F is the set of all minimal degree equitable connected cototal dominating sets of G and with two vertices ๐‘ข, ๐‘ฃ โˆˆ ๐‘‰(๐ท ๐‘ ๐‘’ (๐บ)) are adjacent if ๐‘ข = ๐‘ฃ ๐‘Ž๐‘›๐‘‘ ๐‘ฃ = ๐ท ๐‘ ๐‘’ is a minimal degree equitable connected dominating set of G containing u.In this paper we introduce this new graph valued function and obtained some results.

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