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» Planar graph bipartization in linear time
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COCOON
2001
Springer
15 years 2 months ago
PC-Trees vs. PQ-Trees
A data structure called PC-tree is introduced as a generalization of PQ-trees. PC-trees were originally introduced in a planarity test of Shih and Hsu [7] where they represent par...
Wen-Lian Hsu
ESA
2006
Springer
77views Algorithms» more  ESA 2006»
15 years 1 months ago
Traversing the Machining Graph
Abstract. Zigzag pocket machining (or 2D-milling) plays an important role in the manufacturing industry. The objective is to minimize the number of tool retractions in the zigzag m...
Danny Z. Chen, Rudolf Fleischer, Jian Li, Haitao W...
CORR
2011
Springer
215views Education» more  CORR 2011»
14 years 1 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
76
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JGT
2007
73views more  JGT 2007»
14 years 9 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
ISAAC
1992
Springer
125views Algorithms» more  ISAAC 1992»
15 years 1 months ago
A Simple Test for the Consecutive Ones Property
A (0,1)-matrix satisfies the consecutive ones property if there exists a column permutation such that the ones in each row of the resulting matrix are consecutive. Booth and Lueke...
Wen-Lian Hsu