Combinatorics on Incidence Pseudographs

Reference

Communication and Information Technology Research Technical Report 121, (2003)

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Abstract

Incidence pseudographs (or the dual model of complexes based on a bounded-by relation) are popular models for pixels or voxels and relations between these. They allow a definition of a topological space, and combinatorial formulas characterize open and closed sets in this topology. K. Voss characterized in 1993 open regions in incidence pseudographs. This article reviews these results and provides also combinatorial formulas for closed regions.

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