Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

Algebra seminar in Lincoln: talk by Dr Joanna Fawcett

On the 27th of March 2019, Dr Joanna Fawcett (Imperial College, London) visited Charlotte Scott Centre for Algebra in Lincoln and gave a talk on “Tree-homogeneous graphs”.

Abstract: Let X be a class of graphs. A graph \Gamma is X-homogeneous if every graph isomorphism \varphi:\Delta_1\to \Delta_2 between induced subgraphs \Delta_1 and \Delta_2 of \Gamma such that \Delta_1\in X extends to an automorphism of \Gamma. For example, if X=\{K_1\}, then X-homogeneity is vertex-transitivity, and if X=\{K_2\}, then X-homogeneity is arc-transitivity. A graph is tree-homogeneous if it is X-homogeneous where X is the class of trees. We discuss some recent progress on classifying the finite tree-homogeneous graphs, as well as some connections with certain highly symmetric incidence geometries called partial linear spaces.

One comment on “Algebra seminar in Lincoln: talk by Dr Joanna Fawcett

  1. Evgeny Khukhro
    March 29, 2019

    Reblogged this on Maths & Physics News.

    Like

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This entry was posted on March 29, 2019 by in research, Seminar, Visitors.
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