A Note on the Approximation of a Minimum-Weight Maximal Independent Set
β Scribed by Marc Demange
- Book ID
- 110267372
- Publisher
- Springer US
- Year
- 1999
- Tongue
- English
- Weight
- 84 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0926-6003
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We determine the maximum on n vertices can have, and we a question of Wilf. number of maximal independent sets which a connected graph completely characterize the extremal graphs, thereby answering \* Partially supported by NSF grant number DIMS-8401281. t Partially supported by NSF grant number D S
We prove that for every tree T of order at least 2 and every minimum dominating set D of T which contains at most one endvertex of T , there is an independent dominating set I of T which is disjoint from D. This confirms a recent conjecture of Johnson, Prier, and Walsh.