## Abstract We find all possible lengths of circuits in Cayley digraphs of twoβgenerated abelian groups over the twoβelement generating sets and over certain threeβelement generating sets.
On independent circuits of a digraph
β Scribed by S. Rao Kosaraju
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 156 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
If every three circuits of a digraph have a common vertex, then all the circuits have one.
π SIMILAR VOLUMES
## Abstract This paper presents a circuitβbased model of a current carrying conductor that can provide instantaneous ohmic losses under surge conditions. The model is frequency independent and can be used to calculate transient current characteristics of surges on overhead transmission lines. The t
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
## Abstract We introduce the circular chromatic number Ο~__c__~ of a digraph and establish various basic results. They show that the coloring theory for digraphs is similar to the coloring theory for undirected graphs when independent sets of vertices are replaced by acyclic sets. Since the directe