A logarithmic approximation of linearly-ordered colourings

A linearly ordered (LO) k-colouring of a hypergraph assigns to each vertex a colour from the set {0,1,…,k-1} in such a way that each hyperedge has a unique maximum element. Barto, Batistelli, and Berg conjectured that it is NP-hard to find an LO k-colouring of an LO 2-colourable 3-uniform hypergraph...

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Bibliographic Details
Main Authors: Håstad, J, Martinsson, B, Nakajima, T-V, Zivny, S
Format: Conference item
Language:English
Published: Schloss Dagstuhl 2024