𝔖 Bobbio Scriptorium
✦   LIBER   ✦

An algorithm for finding a large independent set in planar graphs

✍ 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.


πŸ“œ SIMILAR VOLUMES


Approximation Algorithms for Independent
✍ Zhi-Zhong Chen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 172 KB

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

Decomposing a Planar Graph into an Indep
✍ Carsten Thomassen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 126 KB

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.

An algorithm for finding factorizations
✍ A. J. W. Hilton; Matthew Johnson πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 58 KB πŸ‘ 1 views

## Abstract We show how to find a decomposition of the edge set of the complete graph into regular factors where the degree and edge‐connectivity of each factor is prescribed. Β© 2003 Wiley Periodicals, Inc. J Graph Theory 43: 132–136, 2003

Analysis of parallel algorithms for find
✍ H. Chen; A. M. Frieze πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 726 KB

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