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» General Polynomial Time Decomposition Algorithms
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FUIN
2007
133views more  FUIN 2007»
13 years 4 months ago
Intercode Regular Languages
Intercodes are a generalization of comma-free codes. Using the structural properties of finite-state automata recognizing an intercode we develop a polynomial-time algorithm for d...
Yo-Sub Han, Kai Salomaa, Derick Wood
SWAT
2004
Springer
123views Algorithms» more  SWAT 2004»
13 years 10 months ago
A Simple Linear-Time Modular Decomposition Algorithm for Graphs, Using Order Extension
The first polynomial time algorithm (O(n4 )) for modular decomposition appeared in 1972 [8] and since then there have been incremental improvements, eventually resulting in linear...
Michel Habib, Fabien de Montgolfier, Christophe Pa...
GIAE
2004
Springer
119views Mathematics» more  GIAE 2004»
13 years 10 months ago
Polynomial General Solutions for First Order Autonomous ODEs
For a first order autonomous ODE, we give a polynomial time algorithm to decide whether it has a polynomial general solution and to compute one if it exists. Experiments show that...
Ruyong Feng, Xiao-Shan Gao
SPIRE
2007
Springer
13 years 11 months ago
Generalized LCS
The Longest Common Subsequence (LCS) is a well studied problem, having a wide range of implementations. Its motivation is in comparing strings. It has long been of interest to dev...
Amihood Amir, Tzvika Hartman, Oren Kapah, B. Riva ...
ICALP
2010
Springer
13 years 9 months ago
On the Relation between Polynomial Identity Testing and Finding Variable Disjoint Factors
We say that a polynomial f(x1, . . . , xn) is indecomposable if it cannot be written as a product of two polynomials that are defined over disjoint sets of variables. The polynom...
Amir Shpilka, Ilya Volkovich