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uniquely colorable graph : ウィキペディア英語版
uniquely colorable graph
In graph theory, a uniquely colorable graph is a k-chromatic graph that has only one possible (proper) ''k''-coloring up to permutation of the colors.
==Examples==

A complete graph is uniquely colorable, because the only proper coloring is one that assigns each vertex a different color.
Every ''k''-tree is uniquely (''k'' + 1)-colorable. The uniquely 4-colorable planar graphs are known to be exactly the Apollonian networks, that is, the planar 3-trees .

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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