Complexity of homomorphisms to direct products of graphs
✍ Scribed by Judit Büki; Csaba Szabó
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 55 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
✦ Synopsis
For a graph G, OAL G asks whether or not an input graph H together with a partial map g :
G 2 are trees and NP-complete otherwise.
📜 SIMILAR VOLUMES
## Abstract Given graphs __G__, __H__, and lists __L__(__v__) ⊆ __V__(__H__), __v__ ε __V__(__G__), a list homomorphism of __G__ to __H__ with respect to the lists __L__ is a mapping __f__ : __V__(__G__) → __V__(__H__) such that __u__v ε __E__(__G__) implies __f__(__u__)__f__(__v__) ε __E__(__H__),
## Abstract In this article we study the product action of the direct product of automorphism groups of graphs. We generalize the results of Watkins [J. Combin Theory 11 (1971), 95–104], Nowitz and Watkins [Monatsh. Math. 76 (1972), 168–171] and W. Imrich [Israel J. Math. 11 (1972), 258–264], and w