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Full-Text Articles in Discrete Mathematics and Combinatorics
Distributive Lattice Models Of The Type C One-Rowed Weyl Group Symmetric Functions, William Atkins
Distributive Lattice Models Of The Type C One-Rowed Weyl Group Symmetric Functions, William Atkins
Murray State Theses and Dissertations
We present two families of diamond-colored distributive lattices – one known and one new – that we can show are models of the type C one-rowed Weyl symmetric functions. These lattices are constructed using certain sequences of positive integers that are visualized as filling the boxes of one-rowed partition diagrams. We show how natural orderings of these one-rowed tableaux produce our distributive lattices as sublattices of a more general object, and how a natural coloring of the edges of the associated order diagrams yields a certain diamond-coloring property. We show that each edge-colored lattice possesses a certain structure that is …
On The Domination Chain Of M By N Chess Graphs, Kathleen Johnson
On The Domination Chain Of M By N Chess Graphs, Kathleen Johnson
Murray State Theses and Dissertations
A survey of the six domination chain parameters for both square and rectangular chess boards are discussed.