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» A Simple MAX-CUT Algorithm for Planar Graphs
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COCO
2007
Springer
114views Algorithms» more  COCO 2007»
15 years 5 months ago
Directed Planar Reachability is in Unambiguous Log-Space
We make progress in understanding the complexity of the graph reachability problem in the context of unambiguous logarithmic space computation; a restricted form of nondeterminism....
Chris Bourke, Raghunath Tewari, N. V. Vinodchandra...
COMGEO
2004
ACM
14 years 11 months ago
How to draw the minimum cuts of a planar graph
We show how to utilize the cactus representation of all minimum cuts of a graph to visualize the minimum cuts of a planar graph in a planar drawing. In a first approach the cactus...
Ulrik Brandes, Sabine Cornelsen, Christian Fie&szl...
FOCS
2006
IEEE
15 years 5 months ago
A simple condition implying rapid mixing of single-site dynamics on spin systems
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
Thomas P. Hayes
WG
2010
Springer
14 years 10 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
COMBINATORICA
2010
14 years 6 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...