| Links' Seminars and Public Events |   |
Fri, March 9, 2018 10:00 am 11:00 am | Benjamin Bergougnoux : Counting minimal transversals of hypergraphs A transversal of a hypergraph H is a subset of vertices that intersects all the hyper-edges H. The enumeration and the counting of the minimal transversals have a lot of applications in many domains (graph theory, AI, datamining, etc). Counting problems are generally harder than theirs associated decision problems. For example, finding a minimal transversal is doable in polynomial time but counting them is #P-complet (the equivalent of NP-complet for counting problems). We have proved that we can count the minimal transversals of any beta-acyclique hypergraph in polynomial time. Our result is based on a recursive decomposition of the beta-acyclique hypergraph founded by Florent Capelli and by the introduction of a new notion that generalize the minimal transversals. A lot of exciting open questions live in the neighborhood of our result. In particular, our algorithm is able to count the minimum dominating set of a strong-chordal graph. But counting the minimum dominating set is #P-complete on split graphs. Is it the beginning of a complete characterization of the complexity of counting minimal dominating sets in dense graphs ?  Salle B21 |
Fri, February 16, 2018 10:30 am 11:30 am | Victor Marsault : Formal semantics of the query-language Cypher Cypher is a query-language for property-graphs. It was originally designed and implemented as part of the Neo4j graph database, and it is currently used by several commercial database products and researchers. The semantics of Cypher queries is currently described using natural language and, as a result, it is often not well defined. This work is part of a project to define a full denotational semantics of Cypher queries. The talk will first present the main features of Cypher through examples, including the core mecanism: graph pattern-matching, and then will describe the formal semantics in its current state. Salle B21 - INRIA Institut National Recherche Informatique Automatique; 40 Avenue Halley, 59650 Villeneuve d'Ascq, France |
