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  1. 1 Open Physics

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  1. 1 2004

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  1. 1 Makai M.

  2. 1 Orechwa Y.

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Covering group and graph of discretized volumes

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Makai M., Orechwa Y.
Open Physics
|
2004
|
vol. 2
|
issue 4
660-686
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.
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