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COMBINATORICS
1999
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13 years 11 months ago
Deformation of Chains via a Local Symmetric Group Action
A symmetric group action on the maximal chains in a finite, ranked poset is local if the adjacent transpositions act in such a way that (i, i + 1) sends each maximal chain either ...
Patricia Hersh
EJC
2006
13 years 11 months ago
Poset edge-labellings and left modularity
It is known that a graded lattice of rank n is supersolvable if and only if it has an EL-labelling where the labels along any maximal chain are exactly the numbers 1, 2, . . . , n ...
Peter McNamara, Hugh Thomas