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CORR
2007
Springer
132views Education» more  CORR 2007»
15 years 7 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
13 years 9 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
PODC
2011
ACM
14 years 10 months ago
Coordinated consensus in dynamic networks
We study several variants of coordinated consensus in dynamic networks. We assume a synchronous model, where the communication graph for each round is chosen by a worst-case adver...
Fabian Kuhn, Rotem Oshman, Yoram Moses
ECCC
2010
143views more  ECCC 2010»
15 years 4 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran
196
Voted
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 7 months ago
Quadratic forms on graphs
We introduce a new graph parameter, called the Grothendieck constant of a graph G = (V, E), which is defined as the least constant K such that for every A : E R, sup f:V S|V |-1 ...
Noga Alon, Konstantin Makarychev, Yury Makarychev,...