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arXiv · 1608.06661

Permutation graphs and unique games

Monika Rosicka·Simone Severini
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Abstract

We study the value of unique games as a graph-theoretic parameter. This is obtained by labeling edges with permutations. We describe the classical value of a game as well as give a necessary and sufficient condition for the existence of an optimal assignment based on a generalisation of permutation graphs and graph bundles. In considering some special cases, we relate XOR games to EDGE BIPARTIZATION, and define an edge-labeling with permutations from Latin squares.

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Monika Rosicka, Simone Severini. 2016-08-23. Permutation graphs and unique games. https://arxiv.org/abs/1608.06661

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