An Extremal Problem on Contractible Edges in 3-Connected Graphs
โ Scribed by Joe Anderson; Haidong Wu
- Book ID
- 106047606
- Publisher
- Springer Japan
- Year
- 2006
- Tongue
- English
- Weight
- 125 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present a reduction theorem for the class of all finite 3-connected graphs which does not make use of the traditional contraction of certain connected subgraphs. ## 1998 Academic Press Contractible edges play an important role in the theory of 3-connected graphs. Besides the famous wheel theore
We show that if G is a 3-connected graph of order at least seven, then every longest path between distinct vertices in G contains at least two contractible edges. An immediate corollary is that longest cycles in such graphs contain at least three contractible edges. We consider only finite undirect