𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Even Cycle Problem for Planar Digraphs

✍ Scribed by C. Thomassen


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
604 KB
Volume
15
Category
Article
ISSN
0196-6774

No coin nor oath required. For personal study only.

✦ Synopsis


We present a polynomial time algorithm for deciding if a planar digraph has a dicycle of even length. 1993 Academic Press, Inc.


πŸ“œ SIMILAR VOLUMES


A Simple Parallel Algorithm for the Sing
✍ Jesper L. TrΓ€ff; Christos D. Zaroliagis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 216 KB

We present a simple parallel algorithm for the single-source shortest path problem in planar digraphs with nonnegative real edge weights. The algorithm runs on the EREW PRAM model of parallel computation in O((n 2= +n 1&= ) log n) time, performing O(n 1+= log n) work for any 0<=<1Γ‚2. The strength of

The Minimum Spanning Strong Subdigraph P
✍ JΓΈrgen Bang-Jensen; Anders Yeo πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 148 KB

We consider the problem (minimum spanning strong subdigraph (MSSS)) of finding the minimum number of arcs in a spanning strongly connected subdigraph of a strongly connected digraph. This problem is NP-hard for general digraphs since it generalizes the Hamiltonian cycle problem. We characterize the

Bounds of the longest directed cycle len
✍ Zhi-bo Chen; Fu-ji Zhang πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 532 KB

In this paper we present the upper and lower bounds of the longest directed cycle length for minimal strr,ng digraphs in terms of the numbers of vertices and arcs. These bounds are both sharp. In addition, we give analogous results for minimal 2-edge connected graphs.

The intersection problem for m-cycle sys
✍ Elizabeth J. Billington πŸ“‚ Article πŸ“… 1993 πŸ› John Wiley and Sons 🌐 English βš– 794 KB

Let Z,(v) denote the set of integers k for which a pair of m-cycle systems of K , exist, on the same vertex set, having k common cycles. Let J,(v) = { 0,1,2, . . . ,t, -2, t,} where t , = v(vl ) / 2 m . In this article, if 2mn + x is an admissible order of an m-cycle system, we investigate when Zm(2