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- W1999768523 abstract "Let $G=(V,E)$ be a graph and $f$:$(Vcup E)rightarrow [k]$ be a proper total $k$-coloring of $G$.We say that $f$ is an adjacent vertex distinguishing total coloring if for any two adjacent vertices,the set of colors appearing on the vertex and incident edges are different.We call the smallest $k$ for which such a coloring of $G$ exists the adjacent vertex distinguishing total chromatic number,and denote it by $chi_{at}(G)$. In this paper,we show that $chi_{at}(K_{19}-E(C_4))=20$ and $chi_{at}(K_{21}-E(C_4))=22$." @default.
- W1999768523 created "2016-06-24" @default.
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- W1999768523 date "2010-06-01" @default.
- W1999768523 modified "2023-09-25" @default.
- W1999768523 title "The Adjacent Vertex Distinguishing Total Chromatic Number of Graphs" @default.
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- W1999768523 doi "https://doi.org/10.1109/icbbe.2010.5515912" @default.
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