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Edge-disjoint paths in planar graphs

✍ Scribed by András Frank


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
989 KB
Volume
39
Category
Article
ISSN
0095-8956

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Edge-Disjoint (s, t)-Paths in Undir
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We consider the following problem. Let G s V, E be an undirected planar graph and let s, t g V, s / t. The problem is to find a set of pairwise edge-disjoint paths in G, each connecting s with t, of maximum cardinality. In other words, the problem is to find a maximum unit flow from s to t. The fast

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## Abstract We consider finite undirected loopless graphs __G__ in which multiple edges are possible. For integers k,l ≥ 0 let g(k, l) be the minimal __n__ ≥ 0 with the following property: If __G__ is an __n__‐edge‐connected graph, __s__~1~, ⃛,__s__~k~, __t__~1~, ⃛,__t__~k~ are vertices of __G__, a

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## Abstract Let __G__ be a graph and __T__ a set of vertices. A __T‐path__ in __G__ is a path that begins and ends in __T__, and none of its internal vertices are contained in __T__. We define a __T‐path covering__ to be a union of vertex‐disjoint __T__‐paths spanning all of __T__. Concentrating on