It is shown that a quasi-median graph G without isometric infinite paths contains a Hamming graph (i.e., a cartesian product of complete graphs) which is invariant under any automorphism of G, and moreover if G has no infinite path, then any contraction of G into itself stabilizes a finite Hamming g
Retracts of Infinite Hamming Graphs
β Scribed by Marc Chastand
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 282 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
A Hamming graph is a Cartesian product of complete graphs. We show that (finite or infinite) quasi-median graphs, which are a generalization of median graphs, are exactly the retracts of Hamming graphs. This generalizes a result of Bandelt (1984,
π SIMILAR VOLUMES
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