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- W2997986204 abstract "Consider a simple graph $G$. We call a labeling $w:E(G)cup V(G)rightarrow {1, 2, dots, s}$ (textit{total vertex}) textit{product-irregular}, if all product degrees $pd_G(v)$ induced by this labeling are distinct, where $pd_G(v)=w(v)timesprod_{eni v}w(e)$. The strength of $w$ is $s$, the maximum number used to label the members of $E(G)cup V(G)$. The minimum value of $s$ that allows some irregular labeling is called textit{the total vertex product irregularity strength} and denoted $tvps(G)$. We provide some general bounds, as well as exact values for chosen families of graphs. Keywords: product-irregular labeling, total vertex product irregularity strength, vertex-distinguishing labeling." @default.
- W2997986204 created "2020-01-10" @default.
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- W2997986204 date "2023-01-01" @default.
- W2997986204 modified "2023-10-14" @default.
- W2997986204 title "Total vertex product irregularity strength of graphs" @default.
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- W2997986204 doi "https://doi.org/10.7151/dmgt.2495" @default.
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