A simple proof of the multiplicativity of directed cycles of prime power length
โ Scribed by Xuding Zhu
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 346 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Delsarte inequalities for a code e are proved in two steps: The first inequality for e is derived by a Plotldn-type argument. Then the k-th inequality for C turns out to be :he first inequallty for another code whose codeword list is obtained by taking the sums of k columns from a codeword list
In this paper we present the upper and lower bounds of the longest directed cycle length for minimal strr,ng digraphs in terms of the numbers of vertices and arcs. These bounds are both sharp. In addition, we give analogous results for minimal 2-edge connected graphs.
The antipodal graph A(G) of a graph G is defined as the graph on the same vertex set as G with two vertices being adjacent in A(G) if the distance between them in G is the diameter of G. (If G is disconnected then we define &am(G) = co.) Aravamudhan and Rajendran [l, 21 gave the following character