Research Opportunity: Algebraic graph theory

Con­tact Name: Andrew Berget

Con­tact Email: aberget[at]uw.edu

Depart­ment: Mathematics

Descrip­tion:

The student would learn the relevant background in algebra and graph theory, in particular the matrix-tree theorem and the fundamental theorem of finitely generated abelian groups. With this knowledge, we would embark on studying the critical group of a graph. This would involve extensive computer exploration of these groups using the computer algebra system Macaulay2.

Require­ments:

4xx level abstract algebra or real analysis or combinatorics in the UW Department of Math, or equivalent coursework at another institution.

The student should supply the name of a mathematics professor who can recommend them.

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