Geodesic
Analyzing the dynamics of deterministic systems from a hypergraph theoretical point of view
RAIRO - Operations Research - Recherche Opérationnelle, Tome 47 (2013) no. 3, pp. 321-330

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To model the dynamics of discrete deterministic systems, we extend the Petri nets framework by a priority relation between conflicting transitions, which is encoded by orienting the edges of a transition conflict graph. The aim of this paper is to gain some insight into the structure of this conflict graph and to characterize a class of suitable orientations by an analysis in the context of hypergraph theory.

DOI : 10.1051/ro/2013035
Classification : 92C42, 68Q85, 05C65
Keywords: Petri nets, deterministic dynamic systems, hypergraphs 
@article{RO_2013__47_3_321_0,
     author = {Torres, Luis M. and Wagler, Annegret K.},
     title = {Analyzing the dynamics of deterministic systems from a hypergraph theoretical point of view},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {321--330},
     publisher = {EDP-Sciences},
     volume = {47},
     number = {3},
     year = {2013},
     doi = {10.1051/ro/2013035},
     mrnumber = {3143756},
     zbl = {1301.90012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2013035/}
}
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Torres, Luis M.; Wagler, Annegret K. Analyzing the dynamics of deterministic systems from a hypergraph theoretical point of view. RAIRO - Operations Research - Recherche Opérationnelle, Tome 47 (2013) no. 3, pp. 321-330. doi: 10.1051/ro/2013035

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