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- W2562432379 abstract "A graph is said to be {it total-colored} if all the edges and the vertices of the graph are colored. A total-coloring of a graph is a {it total monochromatically-connecting coloring} ({it TMC-coloring}, for short) if any two vertices of the graph are connected by a path whose edges and internal vertices have the same color. For a connected graph $G$, the {it total monochromatic connection number}, denoted by $tmc(G)$, is defined as the maximum number of colors used in a TMC-coloring of $G$. In this paper, we study two kinds of Erdős-Gallai-type problems for $tmc(G)$ and completely solve them." @default.
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- W2562432379 date "2016-12-16" @default.
- W2562432379 modified "2023-09-27" @default.
- W2562432379 title "ErdH{o}s-Gallai-type results for total monochromatic connection of graphs" @default.
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