An algorithm for finding a large independent set in planar graphs
β Scribed by Norishige Chiba; Takao Nishizeki; Nobuji Saito
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 333 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
This paper presents polynomial-time approximation algorithms for the problem of computing a maximum independent set in a given map graph G with or without weights on its vertices. If G is given together with a map, then a ratio of 1 + Ξ΄ can be achieved by a quadratic-time algorithm for any given con
We prove the conjecture made by O. V. Borodin in 1976 that the vertex set of every planar graph can be decomposed into an independent set and a set inducing a 3-degenerate graph.
## Abstract We show how to find a decomposition of the edge set of the complete graph into regular factors where the degree and edgeβconnectivity of each factor is prescribed. Β© 2003 Wiley Periodicals, Inc. J Graph Theory 43: 132β136, 2003
We present a randomized parallel algorithm with polylogarithmic expected running time for finding a maximal independent set in a linear hypergraph.
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