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Extending cycles in directed graphs

✍ 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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πŸ“œ SIMILAR VOLUMES


Extending cycles in graphs
✍ George R.T. Hendry πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 901 KB

## 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

Edge-disjoint cycles in regular directed
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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

Hamiltonian cycles in n-extendable graph
✍ Ken-ichi Kawarabayashi; Katsuhiro Ota; Akira Saito πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 88 KB

## Abstract A graph __G__ of order at least 2__n__+2 is said to be __n__‐extendable 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__‐extendable graph