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- W4317209399 abstract "<abstract><p>A (modular) vertex irregular total labeling of a graph $ G $ of order $ n $ is an assignment of positive integers from $ 1 $ to $ k $ to the vertices and edges of $ G $ with the property that all vertex weights are distinct. The vertex weight of a vertex $ v $ is defined as the sum of numbers assigned to the vertex $ v $ itself and to the edge's incident, while the modular vertex weight is defined as the remainder of the division of the vertex weight by $ n $. The (modular) total vertex irregularity strength of $ G $ is the minimum $ k $ for which such labeling exists. In this paper, we obtain estimations on the modular total vertex irregularity strength, and we evaluate the precise values of this invariant for certain graphs.</p></abstract>" @default.
- W4317209399 created "2023-01-18" @default.
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- W4317209399 date "2023-01-01" @default.
- W4317209399 modified "2023-10-16" @default.
- W4317209399 title "Modular total vertex irregularity strength of graphs" @default.
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- W4317209399 doi "https://doi.org/10.3934/math.2023384" @default.
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