Topological Properties of Event Structures

Abstract : Motivated by the nice labelling problem for event structures, we study the topological properties of the associated graphs. For each n⩾0, we exhibit a graph Gn that cannot occur on an antichain as a subgraph of the graph of an event structure of degree n . The clique complexes of the graphs Gn are disks (n even) and spheres (n odd) in increasing dimensions. We strengthen the result for event structures of degree 3: cycles of length greater than 3 do not occur on antichains as subgraphs. This amounts to saying that the clique complex of the graph of an event structure of degree 3 is acyclic.
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Contributor : Luigi Santocanale <>
Submitted on : Saturday, January 23, 2016 - 12:10:26 PM
Last modification on : Friday, April 12, 2019 - 10:20:07 AM

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Luigi Santocanale. Topological Properties of Event Structures. Electronic Notes in Theoretical Computer Science, Elsevier, 2009, Proceedings of the Workshops on Geometric and Topological Methods in Concurrency Theory (GETCO 2004+2005+2006), 230 (149–160), ⟨10.1016/j.entcs.2009.02.023⟩. ⟨hal-01261062⟩

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