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Flows, flow-pair covers and cycle double covers

✍ Scribed by Dezheng Xie; Cun-Quan Zhang


Book ID
108114053
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
433 KB
Volume
309
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Nowhere-zero 4-flows and cycle double co
✍ Cun-Quan Zhang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 572 KB

In this paper, we obtained some necessary and sufficient conditions for a graph having 5, 6and 7-cycle double covers, etc. We also provide a few necessary and sufficient conditions for a graph admitting a nowhere-zero 4-flow. With the aid of those basic properties of nowhere-zero 4flow and the resul

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✍ Paul A. Catlin πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 711 KB

Let O(G) denote the set of odd-degree vertices of a graph G. Let t E N and let 9, denote the family of graphs G whose edge set has a partition This partition is associated with a double cycle cover of G. We show that if a graph G is at most 5 edges short of being 4-edge-connected, then exactly one

Minimum cycle coverings and integer flow
✍ Cun-Quan Zhang πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 421 KB

## Abstract It was conjectured by Fan that if a graph __G__ = (__V,E__) has a nowhere‐zero 3‐flow, then __G__ can be covered by two even subgraphs of total size at most |__V__| + |__E__| ‐ 3. This conjecture is proved in this paper. It is also proved in this paper that the optimum solution of the C