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EJC
2008
13 years 9 months ago
Majority constraints have bounded pathwidth duality
We study certain constraint satisfaction problems which are the problems of deciding whether there exists a homomorphism from a given relational structure to a fixed structure with...
Víctor Dalmau, Andrei A. Krokhin
EJC
2008
13 years 9 months ago
Fix-Mahonian calculus, I: Two transformations
We construct two bijections of the symmetric group Sn onto itself that enable us to show that three new three-variable statistics are equidistributed with classical statistics invo...
Dominique Foata, Guo-Niu Han
EJC
2008
13 years 9 months ago
Grad and classes with bounded expansion I. Decompositions
Abstract. We introduce classes of graphs with bounded expansion as a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new ...
Jaroslav Nesetril, Patrice Ossona de Mendez
EJC
2008
13 years 9 months ago
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency
Let be a triangle-free distance-regular graph with diameter d 3, valency k 3 and intersection number a2 = 0. Assume has an eigenvalue with multiplicity k. We show that if for ...
Kris Coolsaet, Aleksandar Jurisic, Jack H. Koolen
EJC
2008
13 years 9 months ago
Partial ovoids and partial spreads in symplectic and orthogonal polar spaces
We present improved lower bounds on the sizes of small maximal partial ovoids and small maximal partial spreads in the classical symplectic and orthogonal polar spaces, and improv...
Jan De Beule, Andreas Klein, Klaus Metsch, Leo Sto...