228 citations
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- Microsoft (United States)US1 paper
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math.CO2004
A combinatorial proof of the Rogers-Ramanujan and Schur identities
Cilanne Boulet, Igor Pak
We give a combinatorial proof of the first Rogers-Ramanujan identity by using two symmetries of a new generalization of Dyson's rank. These symmetries are established by direct bij…
math.CO2004
The Positive Bergman Complex of an Oriented Matroid
Federico Ardila, Caroline Klivans, Lauren Williams
We study the positive Bergman complex B+(M) of an oriented matroid M, which is a certain subcomplex of the Bergman complex B(M) of the underlying unoriented matroid. The positive B…