List Colouring Trees in Logarithmic Space

Conference paper (2022)

Authors

Hans L. Bodlaender Universiteit Utrecht
C.E. Groenland Universiteit Utrecht
Hugo Jacob ENS Paris-Saclay
Affiliation
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Graph algorithms Trees List colouring Logspace Space complexity Treepartition-width
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Published Date

2022

Language

English

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Abstract

We show that List Colouring can be solved on n-vertex trees by a deterministic Turing machine using O(log n) bits on the worktape. Given an n-vertex graph G = (V,E) and a list L(v) ⊆ {1, . . . , n} of available colours for each v ∈ V , a list colouring for G is a proper colouring c such that c(v) ∈ L(v) for all v.