We give a general result on the average-case performance of certain greedy algorithms. These are derived from algorithms in which the possible operations performed at each step are prioritised. This type of prioritisation has occurred in previously studied heuristics for ÿnding large subgraphs with
List homomorphisms of graphs with bounded degrees
✍ Scribed by Tomás Feder; Pavol Hell; Jing Huang
- Book ID
- 108113573
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 171 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 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 We prove results on partitioning graphs __G__ with bounded maximum degree. In particular, we provide optimal bounds for bipartitions __V__(__G__) = __V__~1~ ∪ __V__~2~ in which we minimize {__e__(__V__~1~), __e__(__V__~2~)}. © 2004 Wiley Periodicals, Inc. J Graph Theory 46: 131–143, 200