NP-Hardness of Almost Coloring Almost 3-Colorable Graphs

IF 1.3 4区物理与天体物理 Q4 PHYSICS, APPLIED

Spin Pub Date : 2023-01-01 DOI:10.4230/LIPIcs.APPROX/RANDOM.2023.51

Yahli Hecht, Dor Minzer, S. Safra

引用次数: 1

Abstract

A graph G = ( V, E ) is said to be ( k, δ ) almost colorable if there is a subset of vertices V ′ ⊆ V of size at least (1 − δ ) | V | such that the induced subgraph of G on V ′ is k -colorable. We prove that for all k , there exists δ > 0 such for all ε > 0, given a graph G it is NP-hard (under randomized reductions) to distinguish between:

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概着色概3色图的np -硬度

如果存在一个大小至少为(1−δ) | V |的顶点V '的子集，使得G在V '上的诱导子图是k可色的，则图G = (V, E)是(k， δ)几乎可色的。我们证明了对于所有k，存在δ > 0，使得对于所有ε > 0，给定一个图G，它是np困难的(在随机化简下)来区分:

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Spin Materials Science-Electronic, Optical and Magnetic Materials

CiteScore

2.10

自引率

11.10%

发文量

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