AKCE International Journal of Graphs and Combinatorics (Dec 2018)
On irregularity strength of diamond network
Abstract
In this paper we investigate the total edge irregularity strength tes ( G ) and the total vertex irregularity strength tvs ( G ) of diamond graphs B r n and prove that tes ( B r n ) = ( 5 n − 3 ) ∕ 3 , while tvs ( B r n ) = ( n + 1 ) ∕ 3 . Keywords: Total edge irregularity strength, Total vertex irregularity strength, Diamond graphs
