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» Stochastic Minority on Graphs
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EJC
2008
13 years 7 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Jaroslav Nesetril, Patrice Ossona de Mendez
SIAMDM
2010
170views more  SIAMDM 2010»
13 years 2 months ago
Complete Minors and Independence Number
Let G be a graph with n vertices and independence number . Hadwiger's conjecture implies that G contains a clique minor of order at least n/. In 1982, Duchet and Meyniel prov...
Jacob Fox
COMBINATORICS
2006
121views more  COMBINATORICS 2006»
13 years 7 months ago
Permutation Reconstruction from Minors
We consider the problem of permutation reconstruction, which is a variant of graph reconstruction. Given a permutation p of length n, we delete k of its entries in each possible w...
Mariana Raykova
COMBINATORICS
1998
84views more  COMBINATORICS 1998»
13 years 7 months ago
Multimatroids II. Orthogonality, minors and connectivity
A multimatroid is a combinatorial structure that encompasses matroids, delta-matroids and isotropic systems. This structure has been introduced to unify a theorem of Edmonds on th...
André Bouchet
EJC
2007
13 years 7 months ago
Quickly deciding minor-closed parameters in general graphs
We construct algorithms for deciding essentially any minor-closed parameter, with explicit time bounds. This result strengthens previous results by Robertson and Seymour [1,2], Fr...
Erik D. Demaine, Mohammad Taghi Hajiaghayi