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Abstract: We characterize permutations whose Bruhat graphs can be drawn in the plane. In particular, we show this property, as well as that of having having length at most a fixed l, is characterized ...
Using homological duality in consecutive pattern avoidance
pattern avoidance exponential generating function linear differential equations
2010/12/14
Using the approach suggested in [2] we present below a sufficient condition guaranteeing
that two collections of patterns of permutations have the same exponential generating functions for the number...
Primary Finitely Compactly Packed Modules and S-Avoidance Theorem for Modules
Primary submodules primary compactly packed modules primary finitely compactly packed modules s-prime submodules S-Avoidance Theorem for modules
2010/2/25
In this paper we introduce the concept of primary finitely compactly packed modules, which generalizes the concept of primary compactly packed modules. We first find the conditions that make the prima...