## Abstract It is shown that the edges of a simple graph with a nowhere‐zero 4‐flow can be covered with cycles such that the sum of the lengths of the cycles is at most |__E__(__G__)| + |__V__(__G__)| −3. This solves a conjecture proposed by G. Fan.
Short cycle covers of graphs and nowhere-zero flows
✍ Scribed by Edita Máčajová; André Raspaud; Michael Tarsi; Xuding Zhu
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 109 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0364-9024
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