## 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__),
List Homomorphisms and Circular Arc Graphs
β Scribed by Tomas Feder; Pavol Hell; Jing Huang
- Book ID
- 106167951
- Publisher
- Springer-Verlag
- Year
- 1999
- Tongue
- English
- Weight
- 326 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let H be a fixed graph. We introduce the following list homomorphism problem: Given an input graph G and for each vertex v of G a ``list'' L(v) V(H), decide whether or not there is a homomorphism f : We discuss this problem primarily in the context of reflexive graphs, i.e., graphs in which each ve
## Abstract We prove that the complements of interval bigraphs are precisely those circular arc graphs of clique covering number two, which admit a representation without two arcs covering the whole circle. We give another characterization of interval bigraphs, in terms of a vertex ordering, that w
## Abstract A graph with __n__ vertices that contains no triangle and no 5βcycle and minimum degree exceeding __n__/4 contains an independent set with at least (3__n__)/7 vertices. This is best possible. The proof proceeds by producing a homomorphism to the 7βcycle and invoking the No Homomorphism