Surpassing the information theoretic bound with fusion trees
โ Scribed by Michael L. Fredman; Dan E. Willard
- Book ID
- 103159311
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 910 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0022-0000
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract The number of independent vertex subsets is a graph parameter that is, apart from its purely mathematical importance, of interest in mathematical chemistry. In particular, the problem of maximizing or minimizing the number of independent vertex subsets within a given class of graphs has
If a graph G with cycle rank p contains both spanning trees with rn and with n end-vertices, rn < n, then G has at least 2p spanning trees with k end-vertices for each integer k, rn < k < n. Moreover, the lower bound of 2p is best possible. [ l ] and Schuster [4] independently proved that such span