Small Universal Graphs for Bounded-Degree Planar Graphs
β Scribed by Michael Capalbo
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 265 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0209-9683
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π SIMILAR VOLUMES
The oriented chromatic number o(H) of an oriented graph H is defined to be the minimum order of an oriented graph H' such that H has a homomorphism to H'. If each graph in a class ~ has a homomorphism to the same H', then H' is ~-universal. Let ~k denote the class of orientations of planar graphs wi
## Abstract We prove results on partitioning graphs __G__ with bounded maximum degree. In particular, we provide optimal bounds for bipartitions __V__(__G__) = __V__~1~ βͺ __V__~2~ in which we minimize {__e__(__V__~1~), __e__(__V__~2~)}. Β© 2004 Wiley Periodicals, Inc. J Graph Theory 46: 131β143, 200
We consider the two problems of finding the maximum number of node disjoint triangles and edge disjoint triangles in an undirected graph. We show that the first (respectively second) problem is polynomially solvable if the maximum degree of the input graph is at most 3 (respectively 4), whereas it i
## Abstract If ${\cal C}$ is a class of oriented graphs (directed graphs without opposite arcs), then an oriented graph is a __homomorphism bound__ for ${\cal C}$ if there is a homomorphism from each graph in ${\cal C}$ to __H__. We find some necessary conditions for a graph to be a homomorphism bo