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» Unifying Two Graph Decompositions with Modular Decomposition
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DAM
1999
128views more  DAM 1999»
15 years 3 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
129
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ESANN
2007
15 years 4 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...
141
Voted
LICS
2010
IEEE
15 years 1 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
130
Voted
COMBINATORICS
2002
82views more  COMBINATORICS 2002»
15 years 3 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
121
Voted
ISSAC
2009
Springer
169views Mathematics» more  ISSAC 2009»
15 years 10 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