The New Simplest Proof of Cayley's Formula and Its Connection to Statistical Mechanics

by Oleksii Rebenko (Institute of Mathematics, National Academy of Sciences of Ukraine)

Friday 25 Feb 2022, 20:00 → 21:00 Europe/Kiev

ONLINE

A new very simple proof of the number of labeled rooted forest-graphs with a given number of vertices is furnished. As a particular case of this formula, we have Cayley's formula. A connection to cluster expansions of statistical mechanics is
established.

Zoom link for lecture.

Poster 02.25.22.pdf