Disjoint Paths in Graphs I,¶3-planar Graphs and Basic Obstructions
✍ Scribed by Xingxing Yu
- Book ID
- 120770427
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 268 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0218-0006
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## Abstract We prove Nash‐Williams' conjecture that every 4‐connected, 3‐indivisible, infinite, planar graph contains a spanning 2‐way infinite path. A graph is said to be 3‐indivisible if the deletion of any finite set of vertices results in at most two infinite components. © 2007 Wiley Periodical
## Abstract Let __G__ be an infinite 4‐connected planar graph such that the deletion of any finite set of vertices from __G__ results in exactly one infinite component. Dean __et al__. proved that either __G__ admits a radial net or a special subgraph of __G__ admits a ladder net, and they used the