Let X be an infinite k-valent graph with polynomial growth of degree d, i.e. there is an integer d and a constant c such that fx(n) 3, d> 1, 123, there exist k-valent connected graphs with polynomial growth of degree d and girth greater than 1. This means that in general the girth of graphs with pol
✦ LIBER ✦
Infinitely Many Hypohamiltonian Cubic Graphs of Girth 7
✍ Scribed by Edita Máčajová; Martin Škoviera
- Publisher
- Springer Japan
- Year
- 2010
- Tongue
- English
- Weight
- 292 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0911-0119
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## Abstract With the aid of a computer. we give a regular graph of girth 6 and valency 7, which has 90 vertices and show that this is the unique smallest graph with these properties.