The complexity of the matroid homomorphism problem

We show that for every binary matroid N there is a graph D(N) such that for the graphic matroid M(G) of a graph G, there is a matroid homomorphism from M(G) to N if and only if there is a graph homomorphism from G to D(N). With this we prove a complexity dichotomy for the problem HomM(N) of deciding...

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Bibliographic Details
Main Authors: Heo, C. (Author), Kim, H. (Author), Siggers, M. (Author)
Format: Article
Language:English
Published: Australian National University 2023
Online Access:View Fulltext in Publisher
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