Edge-cutsets in the directed hypercube
โ Scribed by Paul L. Mariz; Shahriar Shahriari
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 98 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Consider a hypercube regarded as a directed graph, with one edge in each direction between each pair of adjacent nodes. We show that any permutation on the hypercube can be partitioned into two partial permutations of the same size so that each of them can be routed by edge-disjoint directed paths.
We prove that any k-regular directed graph with no parallel edges contains a collection of at least fl(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least ( lCi1 ) disjoint cycles, and note that this holds for k 5 3. o 1996