Notes On Packing \(T\)-Cuts* AndrΓ‘s Frank \({ }^{\dagger}\) Research Institute for Discrete Mathematics, University of Bonn, Nassestr. 2, Bonn-1, Germany, D-5300 Received July 2, 1992 A short proof of a difficult theorem of P. D. Seymour on grafts with the max-flow
On shortest T-joins and packing T-cuts
β Scribed by A.M.H Gerards
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 516 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let \(G\) be an undirected graph, \(T\) an even subset of vertices and \(F\) an optimal \(T\)-join, which is a forest of two trees. The main theorem of this paper characterizes the cases, where \((G, T)\) has an optimal packing of \(T\)-cuts which is integral. This theorem unifies and generalizes a
Let C = (V, E) be an undirected graph, w : E + Z' a weight function and T c V an even subset of vertices from G. A T-cut is an edge-cut set which divides T into two odd sets. For ( Tj = 4 Seymour gave a good characterization of the graphs for which there exists a maximum packing of T-cuts that is in
## Abstract In an earlier paper 3, we studied cycles in graphs that intersect all edgeβcuts of prescribed sizes. Passing to a more general setting, we examine the existence of __T__βjoins in grafts that intersect all edgeβcuts whose size is in a given set __A__ β{1,2,3}. In particular, we character
A very short proof of Seymour's theorem, stating that in bipartite graphs the minimum cardinality of a t-join is equal to the maximum cardinality of an edge-disjoint packing of t-cuts, is given. Let G be a graph and t:V(G)-, {0, 1}, where t(V(G)) is even. (If X~\_ V(G), then t(X):=E {t(x):xeX}.) A
E very year at the ASIS&T Annual Meeting, a new administrative year begins, and the first official order of business is the introduction of new faces to the ASIS&T Board of Directors. In October in Columbus, the annual changing of the guard took place, and new officers and directors took their seats