Directed graphs with unique paths of fixed length
โ Scribed by C.W.H Lam; J.H van Lint
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 298 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For a graph G, let ' 2 (G ) denote the minimum degree sum of a pair of nonadjacent vertices. We conjecture that if |V(G)| n i 1 k a i and ' 2 (G ) ! n k ร 1, then for any k vertices v 1 , v 2 , F F F , v k in G, there exist vertex-disjoint paths P 1 , P 2 , F F F , P k such that |V (P i )| a i and v
## Abstract We prove that a 171โedgeโconnected graph has an edgeโdecomposition into paths of length 3 if and only its size is divisible by 3. It is a longโstanding problem whether 2โedgeโconnectedness is sufficient for planar triangleโfree graphs, and whether 3โedgeโconnectedness suffices for graph