## Abstract Let __SCC__~3~(__G__) be the length of a shortest 3βcycle cover of a bridgeless cubic graph __G__. It is proved in this note that if __G__ contains no circuit of length 5 (an improvement of Jackson's (__JCTB 1994__) result: if __G__ has girth at least 7) and if all 5βcircuits of __G_
On a property of cyclic covers of p-graphs
β Scribed by Themistocles Politof
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 177 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0028-3045
No coin nor oath required. For personal study only.
β¦ Synopsis
A directed graph G with a source s and a sink r is called a p-graph if every edge of G belongs to an elementary (s,r)-path of G. If C is a cycle of the p-graph G then a cyclic cover of C is a set of (s,r)-paths of G that contains all the edges of C. A cyclic cover Q is minimal if for
π SIMILAR VOLUMES
## Abstract A graph __G__ has property __A(m, n, k)__ if for any sequence of __m__ + __n__ distinct points of __G__, there are at least __k__ other points, each of which is adjacent to the first __m__ points of the sequence but not adjacent to any of the latter __n__ points. the minimum order among
Regular covers of complete graphs which are 2-arc-transitive are investigated. A classification is given of all such graphs whose group of covering transformations is either cyclic or isomorphic to Z p \_Z p , where p is a prime and whose fibrepreserving subgroup of automorphisms acts 2-arc-transiti
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