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DAM
2010
167views more  DAM 2010»
13 years 7 months ago
A new characterization of P6-free graphs
We study P6-free graphs, i.e., graphs that do not contain an induced path on six vertices. Our main result is a new characterization of this graph class: a graph G is P6-free if an...
Pim van 't Hof, Daniël Paulusma
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
ICALP
2010
Springer
14 years 9 days ago
On the Inapproximability of Vertex Cover on k-Partite k-Uniform Hypergraphs
Computing a minimum vertex cover in graphs and hypergraphs is a well-studied optimizaton problem. While intractable in general, it is well known that on bipartite graphs, vertex c...
Venkatesan Guruswami, Rishi Saket
CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 7 months ago
Minimum Cost Homomorphisms to Semicomplete Bipartite Digraphs
For digraphs D and H, a mapping f : V (D)V (H) is a homomorphism of D to H if uv A(D) implies f(u)f(v) A(H). If, moreover, each vertex u V (D) is associated with costs ci(u), i...
Gregory Gutin, Arash Rafiey, Anders Yeo
ICRA
2006
IEEE
134views Robotics» more  ICRA 2006»
14 years 1 months ago
Hierarchical Map Building and Planning based on Graph Partitioning
— Mobile robot localization and navigation requires a map - the robot’s internal representation of the environment. A common problem is that path planning becomes very ineffic...
Zoran Zivkovic, Bram Bakker, Ben J. A. Kröse