منابع مشابه
D. Ray Fulkerson and Project Scheduling
D. Ray Fulkerson (1922–1976) made fundamental and lasting contributions to combinatorial mathematics, optimization, and operations research [2]. He is probably best known for his work on network flows and in particular for the famous max flow–min cut theorem, stating that the maximum amount of a flow from a node s to a node t in a directed graph equals the minimum capacity of a cut separating s...
متن کاملOn Fulkerson conjecture
If G is a bridgeless cubic graph, Fulkerson conjectured that we can find 6 perfect matchings (a Fulkerson covering) with the property that every edge of G is contained in exactly two of them. A consequence of the Fulkerson conjecture would be that every bridgeless cubic graph has 3 perfect matchings with empty intersection (this problem is known as the Fan Raspaud Conjecture). A FR-triple is a ...
متن کاملA note on Berge-Fulkerson coloring
The Berge–Fulkerson Conjecture states that every cubic bridgeless graph has six perfect matchings such that every edge of the graph is contained in exactly two of these perfect matchings. In this paper, a useful technical lemma is proved that a cubic graph G admits a Berge–Fulkerson coloring if and only if the graph G contains a pair of edge-disjoint matchings M1 and M2 such that (i) M1 ∪ M2 in...
متن کاملFord-Fulkerson Max Flow Labeling Algorithm
The Ford-Fulkerson max ow labeling algorithm[3, 4] was introduced in the mid-1950's, and became the seminal work that is still applicable. The material presented in this note is taken from their book[5]. We are given a simple network with two speci ed nodes: source (s) and sink (t). Since the network is assumed to be simple, an arc is identi ed by its endpoints: (x; y) is the arc from node x to...
متن کاملAnteromedial Tibial Tubercle Osteotomy (Fulkerson Osteotomy)
The tibial tubercle (interchangeable with tuberosity) is the most distal anchor of the extensor mechanism and can serve as a tool in altering patellofemoral (PF) mechanics. Known collectively as distal realignment procedures, osteotomies of the tibial tubercle are a useful method to treat a variety of PF conditions by allowing coronal, axial, and sagittal plane adjustments of the patellofemoral...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1977
ISSN: 0095-8956
DOI: 10.1016/0095-8956(77)90051-x