Algebraic combinatorics of diametric magic circles

We provide a definition of a diametric magic circle of order n. In this paper, we use techniques in computational algebraic combinatorics and enumerative geometry to construct and to count d-magic circles. We also provide a description of its minimal Hilbert basis and determine the symmetry operations on d-magic circles. Finally, we give an algorithm for writing a natural d-magic circle in terms of the minimal Hilbert basis.

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Year of publication:	2011
Authors:	Garcia, R.E. ; Lane, M.A. ; Loft, B.M.
Published in:	Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 82.2011, 1, p. 44-53
Publisher:	Elsevier
Subject:	Magic circles \| Enumeration \| Polyhedral cones \| Ehrhart series \| Minimal Hilbert basis

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010870477