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APPROX
2006
Springer
117views Algorithms» more  APPROX 2006»
13 years 11 months ago
Fractional Matching Via Balls-and-Bins
In this paper we relate the problem of finding structures related to perfect matchings in bipartite graphs to a stochastic process similar to throwing balls into bins. Given a bip...
Rajeev Motwani, Rina Panigrahy, Ying Xu 0002
JGT
2008
107views more  JGT 2008»
13 years 7 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
DM
2008
58views more  DM 2008»
13 years 7 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
ICALP
2001
Springer
14 years 5 days ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
GD
1998
Springer
13 years 12 months ago
Geometric Thickness of Complete Graphs
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
Michael B. Dillencourt, David Eppstein, Daniel S. ...