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JGT
2006
97views more  JGT 2006»
13 years 9 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
13 years 9 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
13 years 11 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»
13 years 9 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
COMBINATORICS
2006
97views more  COMBINATORICS 2006»
13 years 9 months ago
H-Free Graphs of Large Minimum Degree
We prove the following extension of an old result of Andr
Noga Alon, Benny Sudakov