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- W4288640528 abstract "Let $G$ be a nontrivial connected and edge-colored graph. An edge-cut $R$ of $G$ is called a rainbow cut if no two edges of it are colored with a same color. An edge-colored graph $G$ is called rainbow disconnected if for every two distinct vertices $u$ and $v$ of $G$, there exists a $u-v$ rainbow cut separating them. For a connected graph $G$, the rainbow disconnection number of $G$, denoted by $rd(G)$, is defined as the smallest number of colors that are needed in order to make $G$ rainbow disconnected. In this paper, we will study the ErdH{o}s-Gallai-type results for $rd(G)$, and completely solve them." @default.
- W4288640528 created "2022-07-30" @default.
- W4288640528 creator A5030357379 @default.
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- W4288640528 date "2019-01-08" @default.
- W4288640528 modified "2023-09-27" @default.
- W4288640528 title "ErdH{o}s-Gallai-type results for the rainbow disconnection number of graphs" @default.
- W4288640528 doi "https://doi.org/10.48550/arxiv.1901.02740" @default.
- W4288640528 hasPublicationYear "2019" @default.
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