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math.CO2013
Integer invariants of abelian Cayley graphs
Joshua E. Ducey, Deelan M. Jalil
Let be a finite abelian group, let be a subset of , and form the Cayley (directed) graph of with connecting set . We explain how, for various matrices associated…
math.CO2013
Integer invariants of an incidence matrix related to Rota's basis conjecture
Stephanie Bittner, Joshua Ducey, Xuyi Guo +2
We compute the spectrum and Smith normal form of the incidence matrix of disjoint transversals, a combinatorial object closely related to the n-dimensional case of Rota's basis con…