1 citations · 2 across the 2 of their papers we have counts for
2 papers
math.CO2016★ 1 cited
Abstract matrix-tree theorem
Yurii Burman
The classical matrix-tree theorem discovered by G.Kirchhoff in 1847 relates the principal minor of the nxn Laplace matrix to a particular sum of monomials of matrix elements indexe…
math.CO2012★ 1 cited
Operators of rank 1, discrete path integration and graph Laplacians
Yurii M. Burman
We prove a formula for a characteristic polynomial of an operator expressed as a polynomial of rank 1 operators. The formula uses a discrete analog of path integration and implies…