Let G be a graph drawn on a disc, and let the vertices of G on the boundary of the disc be s1, ..., sk, t1, ..., tk in some order. When are there k vertex-disjoint paths of G joining si and ti (1 ≤ i ≤ k), respectively? We give a structural characterization and a polynomial algorithm for this problem. We also solve the same question when the disc is replaced by a cylinder.
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics