On the number of independent sets in the trees of a fixed diameter
โ Scribed by A. B. Dainyak
- Book ID
- 111471274
- Publisher
- Pleiades Publishing
- Year
- 2010
- Tongue
- English
- Weight
- 553 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1990-4789
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A subset of vertices is a maximum independent set if no two of the vertices are joined by an edge and the subset has maximum cardinality. In this paper we answer a question posed by Herb Wilf. We show that the greatest number of maximum independent sets for a tree of n vertices is 2(n-3\* for odd n
The spectrum of weighted graphs are often used to solve the problems in the design of networks and electronic circuits. We first give some perturbational results on the spectral radius of weighted graphs when some weights of edges are modified, then we derive the weighted tree with the largest spect