Approximate graph colouring and crystals
We show that approximate graph colouring is not solved by any level of the affine integer programming (AIP) hierarchy. To establish the result, we translate the problem of exhibiting a graph fooling a level of the AIP hierarchy into the problem of constructing a highly symmetric crystal tensor. In o...
Main Authors: | Ciardo, L, Živný, S |
---|---|
Format: | Conference item |
Language: | English |
Published: |
Society for Industrial and Applied Mathematics
2023
|
Similar Items
-
Approximate graph colouring and the hollow shadow
by: Zivny, S, et al.
Published: (2023) -
Improved hardness for H-colourings of G-colourable graphs
by: Wrochna, M, et al.
Published: (2020) -
A logarithmic approximation of linearly-ordered colourings
by: Håstad, J, et al.
Published: (2024) -
The complexity of approximately counting retractions to square-free graphs
by: Focke, J, et al.
Published: (2021) -
Hierarchies of minion tests for PCSPs through tensors
by: Ciardo, L, et al.
Published: (2023)