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math.CO2021
Spanning tree enumeration via triangular rank-one perturbations of graph Laplacians
Christian Go, Zhong Xuan Khwa, Xinyu Luo +1
We present new short proofs of known spanning tree enumeration formulae for threshold and Ferrers graphs by showing that the Laplacian matrices of such graphs admit triangular rank…
math.CO2018★ 4 cited
Graded Expectations: Betti numbers and anti-lecture hall compositions of random threshold graphs
Alexander Engström, Christian Go, Matthew T. Stamps
This paper examines the one-to-one-to-one correspondence between threshold graphs, Betti numbers of quotients of polynomial rings by -linear ideals, and anti-lecture hall compos…