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» On Bounds for the k-Partitioning of Graphs
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AAAI
2004
15 years 7 months ago
Combinatorial Auctions with Structured Item Graphs
Combinatorial auctions (CAs) are important mechanisms for allocating interrelated items. Unfortunately, winner determination is NP-complete unless there is special structure. We s...
Vincent Conitzer, Jonathan Derryberry, Tuomas Sand...
CORR
2007
Springer
132views Education» more  CORR 2007»
15 years 6 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
STOC
2005
ACM
135views Algorithms» more  STOC 2005»
16 years 6 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,...
ISAAC
2009
Springer
140views Algorithms» more  ISAAC 2009»
16 years 1 months ago
Shifting Strategy for Geometric Graphs without Geometry
We give a simple framework which is an alternative to the celebrated and widely used shifting strategy of Hochbaum and Maass [J. ACM, 1985] which has yielded efficient algorithms ...
Imran A. Pirwani
MFCS
1998
Springer
15 years 10 months ago
Facial Circuits of Planar Graphs and Context-Free Languages
It is known that a language is context-free iff it is the set of borders of the trees of recognizable set, where the border of a (labelled) tree is the word consisting of its leaf ...
Bruno Courcelle, Denis Lapoire