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EJC
2011
14 years 11 months ago
Matching and edge-connectivity in regular graphs
Henning and Yeo proved a lower bound for the minimum size of a maximum matching in a connected k-regular graphs with n vertices; it is sharp infinitely often. In an earlier paper...
Suil O, Douglas B. West
JGT
2008
92views more  JGT 2008»
15 years 4 months ago
A new upper bound for the bipartite Ramsey problem
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
David Conlon
COMBINATORICA
1998
77views more  COMBINATORICA 1998»
15 years 4 months ago
A Bound on the Total Chromatic Number
We prove that the total chromatic number of any graph with maximum degree is at most plus an absolute constant. In particular, we show that for su ciently large, the total chromat...
Michael Molloy, Bruce A. Reed
144
Voted
FOCS
2010
IEEE
15 years 2 months ago
Distance Oracles beyond the Thorup-Zwick Bound
We give the first improvement to the space/approximation trade-off of distance oracles since the seminal result of Thorup and Zwick [STOC'01]. For unweighted graphs, our dista...
Mihai Patrascu, Liam Roditty
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
16 years 4 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang