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Monochromatic triangle
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Monochromatic triangle : ウィキペディア英語版
Monochromatic triangle

In graph theory and theoretical computer science, the monochromatic triangle problem is an algorithmic problem on graphs,
in which the goal is to partition the edges of a given graph into two triangle-free subgraphs. It is NP-complete but fixed-parameter tractable on graphs of bounded treewidth.
==Problem statement==
The monochromatic triangle problem takes as input an n-node undirected graph G(V,E) with node set V and edge set E.
The output is a Boolean value, true if the edge set E of G can be partitioned into two disjoint sets E1 and E2, such that both of the two subgraphs G1(V,E1) and G2(V,E2) are triangle-free graphs, and false otherwise. This decision problem is NP-complete.〔. A1.1: GT6, pg.191.〕

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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