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Surjective H-colouring: New hardness results.
- Source :
-
Computability . 2019, Vol. 8 Issue 1, p27-42. 16p. - Publication Year :
- 2019
-
Abstract
- A homomorphism from a graph G to a graph H is a vertex mapping f from the vertex set of G to the vertex set of H such that there is an edge between vertices f (u) and f (v) of H whenever there is an edge between vertices u and v of G. The H-Colouring problem is to decide if a graph G allows a homomorphism to a fixed graph H. We continue a study on a variant of this problem, namely the SurjectiveH-Colouring problem, which imposes the homomorphism to be vertex-surjective. We build upon previous results and show that this problem is NP -complete for every connected graph H that has exactly two vertices with a self-loop as long as these two vertices are not adjacent. As a result, we can classify the computational complexity of SurjectiveH-Colouring for every graph H on at most four vertices. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22113568
- Volume :
- 8
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Computability
- Publication Type :
- Academic Journal
- Accession number :
- 133670268
- Full Text :
- https://doi.org/10.3233/COM-180084