Arithmetic properties of the adjacency matrix of quadriculated disks

نویسندگان

  • Nicolau C. Saldanha
  • Carlos Tomei
چکیده

A quadriculated disk is a juxtaposition of finitely many squares along sides forming a closed topological disk such that vertices of squares which lie in the interior of the disk belong to precisely four squares. In this paper, by a square we mean a topological disk with four privileged boundary points, the vertices. A simple example of a quadriculated disk is the n ×m rectangle divided into unit squares. A quadriculated disk may be considered as a closed subset of the plane R.

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تاریخ انتشار 2008