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Homogeneity in graphs

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GRA - Groups, representations and applications: new perspectives

Let X be a class of graphs. A graph G is X-homogeneous if every graph isomorphism f:H->K between finite induced subgraphs H and K of G with H in X extends to an automorphism of G. For example, if X consists of the graph with one vertex, then X-homogeneity is vertex-transitivity. In this talk, we will discuss various interesting choices for X.

This talk is part of the Isaac Newton Institute Seminar Series series.

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