Tom McCourt (Plymouth)

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Tom McCourt (Plymouth)

April 20, 2016 @ 2:00 pm - 3:00 pm UTC+0

A constructive characterisation of circuits in the (2,1)-Sparse Matroid

A simple graph G = (V,E) is a (2,1)-circuit if |E| = 2|V| and |E(H)|<2|V(H)| for every proper subgraph H of G. Motivated, in part, by ongoing work to understand unique realisations of graphs on surfaces, we derive a constructive characterisation of (2,1)-circuits. The characterisation uses the well known 1-extension and X-replacement operations as well as several summation moves to glue together (2,1)-circuits over small cutsets.

This is joint work with Tony Nixon.


April 20, 2016
2:00 pm - 3:00 pm UTC+0
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Room 205
2-5, Kirkby Place
Plymouth, PL4 6DT United Kingdom
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