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.

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
Mots-clés : Petri nets, deterministic dynamic systems, hypergraphs 
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     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},
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     doi = {10.1051/ro/2013035},
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     language = {en},
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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. http://www.numdam.org/articles/10.1051/ro/2013035/

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