Homology Groups of Pipeline Petri Nets
Logic in Computer Science
2013-03-04 v4 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.1301.7521,
title = {Homology Groups of Pipeline Petri Nets},
author = {Ahmet A. Husainov and E. S. Bushmeleva and T. A. Trishina},
journal= {arXiv preprint arXiv:1301.7521},
year = {2013}
}
Comments
13 pages