Covering group and graph of discretized volumes

• Authors: Mihály Makai , Yuri Orechwa
• Languages of publication: EN

Abstracts

EN

We consider a discretized volume V consisting of finite, congruent and attached copies of a tile t. We find a group L
V the orbit of which, when applied to t, is just V. We show the connection between the structural matrixQ in the formal solution of a boundary value problem formulated for volume V and the so called auxiliary matrix of the graph Γv associated with V. We show boundary value problems to be isomorphic if the graphs associated with the volumes are isomorphic, or, if the covering groups are Sunada pairs.

Keywords

EN

boundary value problem; point group; covering group; discretization; Green’s function; 02.10.Ox; 02.30Jr; 02.10.Ud; 02.60Lj

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2004
• Volume: 2
• Issue: 4
• Pages: 660-686

Dates

published

1 - 12 - 2004

online

1 - 12 - 2004

Contributors

author

Mihály Makai

• KFKI Atomic Energy Research Institute, POB 49, H-1525, Budapest 114, Hungary

author

Yuri Orechwa

• Nuclear Regulatory Commission, 11555 Rockville Pike, 20852, Rockville, MD, USA

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Identifiers

DOI

10.2478/BF02475568