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TIT
2002
78views more  TIT 2002»
13 years 7 months ago
Improved upper bounds on sizes of codes
Let ( ) denote the maximum possible number of codewords in a binary code of length and minimum Hamming distance . For large values of , the best known upper bound, for fixed , is t...
Beniamin Mounits, Tuvi Etzion, Simon Litsyn
COMPGEOM
2010
ACM
14 years 15 days ago
Optimal partition trees
We revisit one of the most fundamental classes of data structure problems in computational geometry: range searching. Back in SoCG’92, Matouˇsek gave a partition tree method fo...
Timothy M. Chan
ENDM
2007
96views more  ENDM 2007»
13 years 7 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
ALGORITHMICA
2010
127views more  ALGORITHMICA 2010»
13 years 7 months ago
An Algorithm for Minimum Cost Arc-Connectivity Orientations
Given a 2k-edge-connected undirected graph, we consider to find a minimum cost orientation that yields a k-arc-connected directed graph. This minimum cost k-arc-connected orientat...
Satoru Iwata, Yusuke Kobayashi
SIAMDM
2008
148views more  SIAMDM 2008»
13 years 7 months ago
A New Algorithm for On-line Coloring Bipartite Graphs
We first show that for any bipartite graph H with at most five vertices, there exists an on-line competitive algorithm for the class of H-free bipartite graphs. We then analyze th...
Hajo Broersma, Agostino Capponi, Daniël Paulu...