We prove that the edges of a self-complementary graph and its complement can be oriented in such a way that they remain isomorphic as digraphs and their union is a transitive tournament. This result is used to explore the relation between the Shannon and Sperner capacity of certain graphs. In partic
On the Shannon Capacity of Probabilistic Graphs
β Scribed by K. Marton
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 370 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
For a digraph G = (V, E) let w(G n ) denote the maximum possible cardinality of a subset S of V n in which for every ordered pair It is also shown that for every n there is a tournament T on 2n vertices whose capacity is at least β n, whereas the maximum number of vertices in a transitive subtourna
The hamiltonian path graph H(F) of a graph F is that graph having the same vertex set as F and in which two vertices u and u are adjacent if and only if F contains a hamiltonian u -u path. First, in response to a conjecture of Chartrand, Kapoor and Nordhaus, a characterization of nonhamiltonian grap
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