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Regular version of the site

Dmitriy Mokeev (NRU HSE & NRU Lobachevsky State University of Nizhni Novgorod) will give a lecture "On the equality of matching number and vertex covering number in the F-structure of graphs (second part)" at the laboratory seminar

Event ended

In this talk we consider the cases when both a matching number and a vertex covering number are equal for different F-structure  of graphs. Known and new results will be presented.

Let F be a family of abstract graphs. 
  • F-structure of graph G is a hypergraph H on the vertex set of G whose hyperedges are the vertex subsets inducing subgraphs isomorphic graphs of F.
  • Matching in the F-structure is a set of its pairwise disjoint hyperedges. 
  • Vertex cover in the F-structure is a set of its vertices that each hyperedge in F contains at least one of them.
  • In any F-structure of any graph of maximum size of matching (matching number) is less or equal than minimum size of vertex cover (covering number).

Place:                    136, Rodionova St., room №401.

All are invited!