Bounds on the number of geodesics on the fundamental region of the modular group
β Scribed by S. N. Naboko
- Publisher
- Springer US
- Year
- 1977
- Tongue
- English
- Weight
- 286 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
Fisher, D.C. and J. Ryan, Bounds on the number of complete subgraphs, Discrete Mathematics 103 (1992) 313-320. Let G be a graph with a clique number w. For 1 s s w, let k, be the number of complete j subgraphs on j nodes. We show that k,,, c (j~l)(kj/(~))u""'. This is exact for complete balanced w-
Knight's tours are a fascinating subject. New lower bounds on the number of knight's tours and structured knight's tours on n x IZ chessboards and even n are presented. For the natural special case n = 8 a new upper bound is proved.
J.-M. Kim, S. Bae and I.-S. Lee showed that there exists an isomorphism between the p-primary part of the ideal class group and p-primary part of the unit group modulo cyclotomic unit group in Q(ΞΆ p n ) + for all sufficiently large n under some conditions. In the present paper, we shall give an anal