A new backtracking algorithm for generating the family of maximal independent sets of a graph
โ Scribed by E. Loukakis
- Book ID
- 108020107
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 636 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
๐ 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
The present paper describes an algorithm for constructing families of k-independent subsets & of {1,2, . . . , n} with &I >2ck", where c, = d/(k -1)2& and d is a certain constant. The algorithm has a polynomial complexity with respect to the size of the family constructed.
## Abstract Consider a family of chords in a circle. A circle graph is obtained by representing each chord by a vertex, two vertices being connected by an edge when the corresponding chords intersect. In this paper, we describe efficient algorithms for finding a maximum clique and a maximum indepen
It is well known [9] that finding a maximal independent set in a graph is in class J%, and [lo] that finding a maximal independent set in a hypergraph with fixed dimension is in %JV"%' . It is not known whether this latter problem remains in A% when the dimension is part of the input. We will study