An isomorphic factorization of a graph is a decomposition into isomorphic edgedisjoint subgraphs. A number of new and old open problems on isomorphic factorizations are presented along with some existing related results.
Isomorphic factorizations of trees
β Scribed by Katherine Heinrich; Peter Horak
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 542 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
A tree is even if its edges can be colored in two colors so that the monochromatic subgraphs are isomorphic. All even trees of maximum degree 3 in which no two vertices of degrees 1 or 3 are adjacent are determined. It is also shown that, for every n, there are only finitely many trees of maximum degree 3 and with n vertices of degree 3 that are not even. Β© 1995 John Wiley & Sons, Inc.
π SIMILAR VOLUMES
## Abstract We investigate the conjecture that every circulant graph __X__ admits a __k__βisofactorization for every __k__ dividing |__E__(__X__)|. We obtain partial results with an emphasis on small values of __k__. Β© 2006 Wiley Periodicals, Inc. J Combin Designs 14: 406β414, 2006
## Abstract In general, it is difficult to determine whether two starter induced 1βfactorizations of __K__~2__n__~ are isomorphic. However, when one of the 1βfactorizations has a unique starter group to within conjugacy, we show that two starter induced 1βfactorizations on __K__~2__n__~ are isomorp