منابع مشابه
Finiteness of Disjoint Minimal Graphs
of u in R is called a minimal graph supported on Ω. In a recent article of Meeks-Rosenberg [M-R], where they proved the unicity of the helicoid, the authors showed that if the defining functions {ui} of a set of disjointly supported minimal graphs {Gi} have bounded gradients, then the number of graphs must be finite. In a private communication with the first author, Rosenberg posed the question...
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متن کاملTo appear in Math. Research Letters FINITENESS OF DISJOINT MINIMAL GRAPHS
of u in R is called a minimal graph supported on Ω. In a recent article of Meeks-Rosenberg [M-R], where they proved the unicity of the helicoid, the authors showed that if the defining functions {ui} of a set of disjointly supported minimal graphs {Gi} have bounded gradients, then the number of graphs must be finite. In a private communication with the first author, Rosenberg posed the question...
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Disjoint paths have applications in establishing bottleneck-free communication between processors in a network. The problem of finding minimum delay disjoint paths in a network directly reduces to the problem of finding the minimal disjoint paths in the graph which models the network. Previous results for this problem on chordal graphs were an O(| V | | E |) algorithm for 2 edge disjoint paths ...
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Let F, G and H be non-empty graphs. The notation F → (G,H) means that if any edge of F is colored by red or blue, then either the red subgraph of F con- tains a graph G or the blue subgraph of F contains a graph H. A graph F (without isolated vertices) is called a Ramsey (G,H)−minimal if F → (G,H) and for every e ∈ E(F), (F − e) 9 (G,H). The set of all Ramsey (G,H)−minimal graphs is denoted by ...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2001
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2001.v8.n6.a7