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» An Upper Bound of 62 on the Classical Ramsey Number R(3, 3, ...
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DAM
2011
13 years 2 months ago
A study of 3-arc graphs
An arc of a graph is an oriented edge and a 3-arc is a 4-tuple (v, u, x, y) of vertices such that both (v, u, x) and (u, x, y) are paths of length two. The 3-arc graph of a graph ...
Martin Knor, Guangjun Xu, Sanming Zhou
JCT
2011
104views more  JCT 2011»
13 years 2 months ago
Bounds for solid angles of lattices of rank three
We find sharp absolute constants C1 and C2 with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle spann...
Lenny Fukshansky, Sinai Robins
COMPGEOM
2010
ACM
14 years 3 days ago
Incidences in three dimensions and distinct distances in the plane
d Abstract] György Elekes Eötvös University Micha Sharir Tel Aviv University and New York University We first describe a reduction from the problem of lower-bounding the numbe...
György Elekes, Micha Sharir
NETWORKING
2010
13 years 8 months ago
Cost Bounds of Multicast Light-Trees in WDM Networks
The construction of light-trees is one principal subproblem for multicast routing in sparse splitting Wavelength Division Multiplexing (WDM) networks. Due to the light splitting co...
Fen Zhou, Miklós Molnár, Bernard Cou...
COMGEO
2011
ACM
13 years 2 months ago
Improved bounds for cops-and-robber pursuit
We prove that n cops can capture (that is, some cop can get less than unit distance from) a robber in a continuous square region with side length less than √ 5n and hence that n/...
Laurent Alonso, Edward M. Reingold