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» Algorithmic uses of the Feferman-Vaught Theorem
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JCT
2008
109views more  JCT 2008»
13 years 7 months ago
Decomposing Berge graphs and detecting balanced skew partitions
A hole in a graph is an induced cycle on at least four vertices. A graph is Berge if it has no odd hole and if its complement has no odd hole. In 2002, Chudnovsky, Robertson, Seym...
Nicolas Trotignon
IUI
2010
ACM
14 years 2 months ago
Intelligent understanding of handwritten geometry theorem proving
Computer-based geometry systems have been widely used for teaching and learning, but largely based on mouse-andkeyboard interaction, these systems usually require users to draw fi...
Yingying Jiang, Feng Tian, Hongan Wang, Xiaolong Z...
SPAA
2003
ACM
14 years 22 days ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
FOCS
2005
IEEE
14 years 1 months ago
Algorithmic Graph Minor Theory: Decomposition, Approximation, and Coloring
At the core of the seminal Graph Minor Theory of Robertson and Seymour is a powerful structural theorem capturing the structure of graphs excluding a fixed minor. This result is ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Ken-ic...
ICFP
2008
ACM
14 years 7 months ago
Pattern minimization problems over recursive data types
In the context of program verification in an interactive theorem prover, we study the problem of transforming function definitions with ML-style (possibly overlapping) pattern mat...
Alexander Krauss