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COMBINATORICS
2006
135views more  COMBINATORICS 2006»
13 years 5 months ago
Lyndon Words and Transition Matrices between Elementary, Homogeneous and Monomial Symmetric Functions
Let h, e, and m denote the homogeneous symmetric function, the elementary symmetric function and the monomial symmetric function associated with the partition respectively. We gi...
Andrius Kulikauskas, Jeffrey B. Remmel
DM
2008
75views more  DM 2008»
13 years 5 months ago
Homogeneous factorisations of graph products
A homogeneous factorisation of a digraph consists of a partition P = {P1, . . . , Pk} of the arc set A and two vertex-transitive subgroups M G Aut() such that M fixes each Pi set...
Michael Giudici, Cai Heng Li, Primoz Potocnik, Che...
DM
2011
158views Education» more  DM 2011»
12 years 8 months ago
A survey of homogeneous structures
A relational first order structure is homogeneous if it is countable (possibly finite) and every isomorphism between finite substructures extends to an automorphism. This artic...
Dugald Macpherson