## Abstract Given graphs __G__, __H__, and lists __L__(__v__) β __V__(__H__), __v__ Ξ΅ __V__(__G__), a list homomorphism of __G__ to __H__ with respect to the lists __L__ is a mapping __f__ : __V__(__G__) β __V__(__H__) such that __u__v Ξ΅ __E__(__G__) implies __f__(__u__)__f__(__v__) Ξ΅ __E__(__H__),
The complexity of counting graph homomorphisms
β Scribed by Martin Dyer; Catherine Greenhill
- Publisher
- John Wiley and Sons
- Year
- 2000
- Tongue
- English
- Weight
- 229 KB
- Volume
- 17
- Category
- Article
- ISSN
- 1042-9832
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## Abstract Let hom (__G, H__) be the number of homomorphisms from a graph __G__ to a graph __H__. A wellβknown result of LovΓ‘sz states that the function hom (Β·, __H__) from all graphs uniquely determines the graph __H__ up to isomorphism. We study this function restricted to smaller classes of gra