A comparative study has been made in order to monitor the scattering of a particle from different model surfaces having maximum dimension one. Although the differential cross-section plots exhibit marked differences, the self-similar behawour has been manifested in the integrated cross-section data
Reduction Modulo 2 and 3 of Euclidean Lattices
โ Scribed by Jacques Martinet
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 195 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
Let
be a Euclidean lattice. We study upper bounds for the norm of shortest representatives of modulo d , d = 2 or 3, as well as the structure of the sets of such vectors with the same norm and the same image modulo d. Root systems appear in connection with this last problem. ๏ฃฉ 2002 Elsevier Science (USA)
๐ SIMILAR VOLUMES
Saito, A., Cycles of length 2 modulo 3 in graphs, Discrete Mathematics 101 (1992) 285-289. We prove that if a graph G of minimum degree at least 3 has no cycle of length 2 (mod 3), then G has an induced subgraph which is isomorphic to either K4 or Ks,s. The above result together with its relatively