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Bruhat graphs and pattern avoidance
Bruhat graph pattern avoidance planar graphs
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2011/9/20
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
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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...