Cycles in Circuit Graphs of Matroids
โ Scribed by Ping Li; Guizhen Liu
- Publisher
- Springer Japan
- Year
- 2007
- Tongue
- English
- Weight
- 212 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0911-0119
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๐ SIMILAR VOLUMES
Jackson and Wormald showed that every 3-cormected planar graph G contains a Tutte cycle C such that each component of G-C contains less than I V(G)I/2 vertices. We prove in this paper that IV(G)[~2 can be replaced by I V(G)I/3. This answers a question of Jackson and Wormald. This result may be used
Mader proved that every 2-connected simple graph G with minimum degree d exceeding three has a cycle C, the deletion of whose edges leaves a 2-connected graph. Jackson extended this by showing that C may be chosen to avoid any nominated edge of G and to have length at least d-1. This article proves