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GD
2007
Springer
14 years 2 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth
STACS
1994
Springer
14 years 1 days ago
On the Complexity of the Maximum Cut Problem
The complexity of the simple maxcut problem is investigated for several special classes of graphs. It is shown that this problem is NP-complete when restricted to one of the follo...
Hans L. Bodlaender, Klaus Jansen
GD
2006
Springer
13 years 11 months ago
Simultaneous Graph Embedding with Bends and Circular Arcs
Abstract. We consider the problem of simultaneous embedding of planar graphs. We demonstrate how to simultaneously embed a path and an n-level planar graph and how to use radial em...
Justin Cappos, Alejandro Estrella-Balderrama, J. J...
STACS
2007
Springer
14 years 2 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
SSS
2010
Springer
158views Control Systems» more  SSS 2010»
13 years 6 months ago
Low Memory Distributed Protocols for 2-Coloring
In this paper we present new distributed protocols to color even rings and general bipartite graphs. Our motivation is to provide algorithmic explanation for human subject experime...
Amos Israeli, Mathew D. McCubbins, Ramamohan Patur...