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» Unifying Two Graph Decompositions with Modular Decomposition
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DAM
1999
128views more  DAM 1999»
13 years 8 months ago
Graph Classes Between Parity and Distance-hereditary Graphs
Several graph problems (e.g., steiner tree, connected domination, hamiltonian path, and isomorphism problem), which can be solved in polynomial time for distance-hereditary graphs...
Serafino Cicerone, Gabriele Di Stefano
ESANN
2007
13 years 10 months ago
Estimation of tangent planes for neighborhood graph correction
Local algorithms for non-linear dimensionality reduction [1], [2], [3], [4], [5] and semi-supervised learning algorithms [6], [7] use spectral decomposition based on a nearest neig...
Karina Zapien Arreola, Gilles Gasso, Stépha...
LICS
2010
IEEE
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
13 years 8 months ago
The Directed Anti-Oberwolfach Solution: Pancyclic 2-Factorizations of Complete Directed Graphs of Odd Order
The directed anti-Oberwolfach problem asks for a 2-factorization (each factor has in-degree 1 and out-degree 1 for a total degree of two) of K2n+1, not with consistent cycle compo...
Brett Stevens
ISSAC
2009
Springer
169views Mathematics» more  ISSAC 2009»
14 years 3 months ago
Computations modulo regular chains
The computation of triangular decompositions involves two fundamental operations: polynomial GCDs modulo regular chains and regularity test modulo saturated ideals. We propose new...
Xin Li, Marc Moreno Maza, Wei Pan