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- W3205099810 abstract "A graph G is called a totally irregular total k -graph if it has a totally irregular total k-labeling λ : V ∪ E → 1, 2, ... , k , that is a total labeling such that for any pair of different vertices x and y of G, their weights wt(x) and wt(y) are distinct, and for any pair of different edges e and f of G, their weights wt(e) and wt(f) are distinct. The minimum value k under labeling λ is called the total irregularity strength of G, denoted by ts(G). For special cases of a complete bipartite graph K m , n , the t s ( K 1, n ) and the t s ( K n , n ) are already determined for any positive integer n. Completing the results, this paper deals with the total irregularity strength of complete bipartite graph K m , n for any positive integer m and n." @default.
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- W3205099810 date "2021-10-16" @default.
- W3205099810 modified "2023-10-16" @default.
- W3205099810 title "Complete bipartite graph is a totally irregular total graph" @default.
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- W3205099810 doi "https://doi.org/10.5614/ejgta.2021.9.2.11" @default.
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