مقاله Algebraic combinatorics of diametric magic circles : تی پی بین

خلاصه مقاله

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.

نویسندگان

R.E. Garcia [ Sam Houston State University, Department of Mathematics and Statistics, Box 2206, Huntsville, TX 77341-2206, United States ]

M.A. Lane [ Sam Houston State University, Department of Mathematics and Statistics, Box 2206, Huntsville, TX 77341-2206, United States ]

B.M. Loft [ Sam Houston State University, Department of Mathematics and Statistics, Box 2206, Huntsville, TX 77341-2206, United States ]

کلمات کلیدی

Magic circles Enumeration Polyhedral cones Ehrhart series Minimal Hilbert basis

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مشاهده مقالات

Mathematics and Computers in Simulation

About conference: The aim of the journal is to provide an international forum for the dissemination of up-to-date information in the fields of the mathematics and computers, in particular (but not exclusively) as they apply to the dynamics of systems, their simulation and scientific computation in general. Published material ranges from short, concise research papers to more general tutorial articles. Mathematics and Computers in Simulation, published monthly, is the official organ of IMACS, the International Association for Mathematics and Computers in Simulation (Formerly AICA). This Association, founded in 1955 and legally incorporated in 1956 is a member of FIACC (the Five International Associations Coordinating Committee), together with IFIP, IFAV, IFORS and IMEKO.

حوزه های تحت پوشش : ریاضی و کامپیوتر در شبیه سازی