On the number of edge-colourings of regular bipartite graphs
โ Scribed by A. Schrijver
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 562 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given a graph G and a subgraph H of G, let rb(G, H) be the minimum number r for which any edge-coloring of G with r colors has a rainbow subgraph H. The number rb(G, H) is called the rainbow number of H with respect to G. Denote as mK 2 a matching of size m and as B n,k the set of all the k-regular
In this paper it is proved that the exponential generating function of the numbers, denoted by N(p, q), of irreducible coverings by edges of the vertices of complete bipartite graphs Kp.q equals exp(xe r + ye x -x -y -xy) -t.
The set of two-factors of a bipartite k-regular graph, k > 2, spans the cycle space of the graph. In addition, a new non-hamiltonian T-connected bicubic graph on 92 vertices is constructed.