Classification and enumeration of minimum (d, 1, 3)-graphs and minimum (d, 2, 3)-graphs
โ Scribed by Victor Klee; Howard Quaife
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 454 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
It is well-known that every closed orientable 3-manifold M 3 is the 3-fold simple covering M3(K,o)) of S 3 branched over a knot K: hence, M 3 may be visualized by the associated coloured knot (K, co). On the other hand, PL-manifolds of arbitrary dimension may be represented by coloured graphs, via p
Let \(G\) be a 3-connected \(K_{1, d}\)-free graph on \(n\) vertices. We show that \(G\) contains a 3-connected spanning subgraph of maximum degree at most \(2 d-1\). Using an earlier result of ours, we deduce that \(G\) contains a cycle of length at least \(\frac{1}{2} n^{c}\) where \(c=\left(\log