## Abstract Let __r__≧ 3 be an integer. It is shown that there exists ε= ε(__r__), 0 < ε < 1, and an integer __N__ = __N(r__) > 0 such that for all __n__ ≧ __N__ (if __r__ is even) or for all even __n__ ≧ __N__(if __r__ is odd), there is an __r__‐connected regular graph of valency __r__ on exactly
Bipartite cubic graphs and a shortness exponent
✍ Scribed by P.J. Owens
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 148 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
✦ Synopsis
The class of 3-connected bipartite cubic graphs is shown to contain a oon-Hamiltonian graph with only 78 vertices and to have a shortness exponent less than one.
In this paper, a graph is a simple undirected gaph and a subgraph is an induced subgraph. For a~ay graph G, v(G) denotes the number of vertices and h(G) the
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