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JGT
2006
97views more  JGT 2006»
14 years 11 months ago
Matchings in hypergraphs of large minimum degree
It is well known that every bipartite graph with vertex classes of size n whose minimum degree is at least n/2 contains a perfect matching. We prove an analogue of this result for...
Daniela Kühn, Deryk Osthus
SAC
2006
ACM
14 years 11 months ago
From spontaneous total order to uniform total order: different degrees of optimistic delivery
A total order protocol is a fundamental building block in the construction of distributed fault-tolerant applications. Unfortunately, the implementation of such a primitive can be...
Luís Rodrigues, José Mocito, Nuno Ca...
CCCG
2006
15 years 1 months ago
Realization of Degree 10 Minimum Spanning Trees in 3-Space
We show that any tree whose maximum degree is at most 10 can be drawn in 3-space such that it is the minimum spanning tree of its vertices.
James A. King
JCT
2008
70views more  JCT 2008»
14 years 11 months ago
Connectivity keeping edges in graphs with large minimum degree
The old well-known result of Chartrand, Kaugars and Lick [1] says that every k-connected graph G with minimum degree at least 3k/2 has a vertex v such that G - v is still k-connec...
Shinya Fujita, Ken-ichi Kawarabayashi
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COMBINATORICS
2006
97views more  COMBINATORICS 2006»
14 years 11 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov