Determinant-preserving sparsification of SDDM matrices

D Durfee, J Peebles, R Peng, AB Rao - SIAM Journal on Computing, 2020 - SIAM
We show that variants of spectral sparsification routines can preserve the total spanning tree
counts of graphs. By Kirchhoff's matrix-tree theorem, this is equivalent to preserving the …

Determinant-Preserving Sparsification of SDDM Matrices

D Durfee, J Peebles, R Peng, AB Rao - SIAM Journal on Computing, 2020 - dl.acm.org
We show that variants of spectral sparsification routines can preserve the total spanning tree
counts of graphs. By Kirchhoff's matrix-tree theorem, this is equivalent to preserving the …