Title
Disjoint paths in a planar graph—a general theorem
Abstract
Let D = (V, A) be a directed planar graph, let (t1, s1),...,(r(k), s(k)) be pairs of vertices on the boundary of the unbounded face, let A1,...,A(k) be subsets of A, and let H be a collection of unordered pairs from {1,...,k}. Given are necessary and sufficient conditions for the existence of a directed r(i)-s(i) path P(i) in (V, A(i)) (for i = 1,...,k), such that P(i) and P(j) are vertex-disjoint whenever {i, j} is-an-element-of H.
Year
DOI
Venue
1992
10.1137/0405009
SIAM J. Discrete Math.
Keywords
Field
DocType
planar graph,general theorem,disjoint path
Discrete mathematics,Combinatorics,Tree (graph theory),Disjoint sets,Vertex (geometry),Directed graph,Planar graph,Mathematics
Journal
Volume
Issue
ISSN
5
1
0895-4801
Citations 
PageRank 
References 
5
0.59
1
Authors
3
Name
Order
Citations
PageRank
Guoli Ding144451.58
A. Schrijver2102.52
P. D. Seymour329732.84