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  "body": "\n## Summary\n\nIn graph theory, a ***T*-Coloring** of a graph $G = (V, E)$, given the [[set|0BSJ7RQ9BW]] *T* of nonnegative integers containing 0, is a function $c: V(G) \\to \\mathbb{N}$ that maps each vertex to a positive [[integer|0C4JS9RF5M]] ([[color|0NCPXH194Y]]) such that if *u* and *w* are adjacent then $|c(u) - c(w)| \\notin T$. In simple words, the [[absolute value|0FFXKTKKQC]] of the difference between two colors of adjacent vertices must not belong to fixed set *T*. The concept was introduced by William K. Hale. If *T* = $\\{0\\}$ it reduces to common vertex coloring.\n",
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