## 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
On the number of independent subsets in trees with restricted degrees
โ Scribed by Eric Ould Dadah Andriantiana; Stephan Wagner
- Book ID
- 108200946
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 244 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove a new upper bound on the independent domination number of graphs in terms of the number of vertices and the minimum degree. This bound is slightly better than that of Haviland (1991) and settles the case 6 = 2 of the corresponding conjecture by Favaron (1988). @ 1998 Elsevier Science B.V. A
Let D be a finite set of positive integers with maximum bigger than two and ti,,.(rii,,.) be the number of n-edged rooted maps on the orientable (nonorientable) surface of type 9 whose face degrees (or, dually, vertex degrees) all lie in D. Define A&)= 1 ~g,&", ll>O cl,(x)= 1 fis,"X". ## Il>O We