## A cycle C in a graph G is extendable if there exists a cycle C' in G such that V(C) E V(C') and jV(C')l = IV(C) 1 + 1. A graph G is cycle extendable if G has at least one cycle and every nonhamiltonian cycle is extendable. A graph G of order p 2 3 has a pancyclic ordering if its vertices can be
Extending cycles in directed graphs
β Scribed by George R.T Hendry
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 536 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
We prove that any k-regular directed graph with no parallel edges contains a collection of at least fl(k2) edge-disjoint cycles; we conjecture that in fact any such graph contains a collection of at least ( lCi1 ) disjoint cycles, and note that this holds for k 5 3. o 1996
## Abstract A graph __G__ of order at least 2__n__+2 is said to be __n__βextendable if __G__ has a perfect matching and every set of __n__ independent edges extends to a perfect matching in __G__. We prove that every pair of nonadjacent vertices __x__ and __y__ in a connected __n__βextendable graph