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» A new upper bound for the bipartite Ramsey problem
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JCT
2006
168views more  JCT 2006»
14 years 11 months ago
Mono-multi bipartite Ramsey numbers, designs, and matrices
Eroh and Oellermann defined BRR(G1, G2) as the smallest N such that any edge coloring of the complete bipartite graph KN,N contains either a monochromatic G1 or a multicolored G2....
Paul N. Balister, András Gyárf&aacut...
SIAMDM
2008
148views more  SIAMDM 2008»
14 years 11 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...
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 5 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
STOC
2005
ACM
147views Algorithms» more  STOC 2005»
15 years 12 months ago
Simulating independence: new constructions of condensers, ramsey graphs, dispersers, and extractors
We present new explicit constructions of deterministic randomness extractors, dispersers and related objects. We say that a distribution X on binary strings of length n is a -sour...
Boaz Barak, Guy Kindler, Ronen Shaltiel, Benny Sud...
DM
2002
116views more  DM 2002»
14 years 11 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...