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      Homology Groups of Pipeline Petri Nets

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          Abstract

          We study homology groups of elementary Petri nets for the pipeline systems. We show that the integral homology groups of these nets in dimensions 0 and 1 equal the group of integers, and they are zero in other dimensions. We prove that directed homology groups of elementary Petri nets are zero in all dimensions.

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          Author and article information

          Journal
          2013-01-31
          2013-03-01
          Article
          1301.7521
          5d290ab9-3504-4483-ab78-c97af9d9a808

          http://creativecommons.org/licenses/by/3.0/

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          Custom metadata
          68Q10, 68Q85, 18G10, 18G35, 55U10
          13 pages
          cs.LO math.AT

          Theoretical computer science,Geometry & Topology
          Theoretical computer science, Geometry & Topology

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