## Abstract We show that a directed graph of order __n__ will contain __n__‐cycles of every orientation, provided each vertex has indegree and outdegree at least (1/2 + __n__^‐1/6^)__n__ and __n__ is sufficiently large. © 1995 John Wiley & Sons, Inc.
Orientations of hamiltonian cycles in large digraphs
✍ Scribed by Adam Paweł Wojda
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 328 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
We prove that, with some exceptions, every digraph with n 3 9 vertices and at least ( n -1) ( n -2) + 2 arcs contains all orientations of a Hamiltonian cycle.
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