## Abstract Let hom (__G, H__) be the number of homomorphisms from a graph __G__ to a graph __H__. A wellโknown result of Lovรกsz states that the function hom (ยท, __H__) from all graphs uniquely determines the graph __H__ up to isomorphism. We study this function restricted to smaller classes of gra
On the Complexity of Recognizing Hamming Graphs and Related Classes of Graphs
โ Scribed by Wilfried Imrich; Sandi Klavzar
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 287 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A class of graphs is hereditary if it is closed under taking induced subgraphs. Classes associated with graph representations have "composition sequences" and we show that this concept is equivalent to a notion of "amalgamation" which generalizes disjoint union of graphs. We also discuss how general
## Abstract The MatchingโCut problem is the problem to decide whether a graph has an edge cut that is also a matching. Previously this problem was studied under the name of the Decomposable Graph Recognition problem, and proved to be ${\cal{NP}}$โcomplete when restricted to graphs with maximum deg
We consider the mixing properties of the widely used Swendsen-Wang process for the Markov chain Monte Carlo estimation of the partition function of the ferromagnetic Q-state Potts model, for certain classes of graphs. In the paper "The Swendsen-Wang Process Does Not Always Mix Rapidly," V. Gore and
## Abstract Given graphs __G__, __H__, and lists __L__(__v__) โ __V__(__H__), __v__ ฮต __V__(__G__), a list homomorphism of __G__ to __H__ with respect to the lists __L__ is a mapping __f__ : __V__(__G__) โ __V__(__H__) such that __u__v ฮต __E__(__G__) implies __f__(__u__)__f__(__v__) ฮต __E__(__H__),