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math.CO2002★ 2 cited
The many faces of alternating-sign matrices
James Propp
I give a survey of different combinatorial forms of alternating-sign matrices, starting with the original form introduced by Mills, Robbins and Rumsey as well as corner-sum matrice…
math.CO2002
Euler measure as generalized cardinality
James Propp
Schanuel has pointed out that there are mathematically interesting categories whose relationship to the ring of integers is analogous to the relationship between the category of fi…
math.CO2002
Exponentiation and Euler measure
James Propp
Two of the pillars of combinatorics are the notion of choosing an arbitrary subset of a set with elements (which can be done in ways), and the notion of choosing a -el…