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» New upper bounds on the decomposability of planar graphs
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ICALP
2009
Springer
14 years 7 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
TAMC
2010
Springer
13 years 5 months ago
Two-Layer Planarization Parameterized by Feedback Edge Set
Abstract. Given an undirected graph G and an integer k ≥ 0, the NPhard 2-Layer Planarization problem asks whether G can be transformed into a forest of caterpillar trees by remov...
Johannes Uhlmann, Mathias Weller
TIT
2010
107views Education» more  TIT 2010»
13 years 1 months ago
Information inequalities for joint distributions, with interpretations and applications
Upper and lower bounds are obtained for the joint entropy of a collection of random variables in terms of an arbitrary collection of subset joint entropies. These inequalities gene...
Mokshay M. Madiman, Prasad Tetali
LATIN
2004
Springer
14 years 3 days ago
Bidimensional Parameters and Local Treewidth
For several graph-theoretic parameters such as vertex cover and dominating set, it is known that if their sizes are bounded by k then the treewidth of the graph is bounded by some ...
Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Ha...
FOCS
2003
IEEE
14 years 1 days ago
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
Timothy M. Chan