Algebraic Combinatorics of Magic Squares

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dc.creatorAhmed, Maya Mohsin
dc.date2004-05-25
dc.date.accessioned2026-07-07T05:08:33Z
dc.date.available2026-07-07T05:08:33Z
dc.descriptionWe describe how to construct and enumerate Magic squares, Franklin squares, Magic cubes, and Magic graphs as lattice points inside polyhedral cones using techniques from Algebraic Combinatorics. The main tools of our methods are the Hilbert Poincare series to enumerate lattice points and the Hilbert bases to generate lattice points. We define polytopes of magic labelings of graphs and digraphs, and give a description of the faces of the Birkhoff polytope as polytopes of magic labelings of digraphs.
dc.descriptionPh.D. Thesis
dc.identifierhttps://arxiv.org/abs/math/0405476
dc.identifierhttp://arxiv.org/abs/math/0405476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71311
dc.subjectCombinatorics
dc.titleAlgebraic Combinatorics of Magic Squares
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