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math.CO2019★ 1 cited
Characteristic elements for real hyperplane arrangements
Marcelo Aguiar, Jose Bastidas, Swapneel Mahajan
Characteristic elements of the Tits algebra of a real hyperplane arrangement carry information about the characteristic polynomial. We present this notion and its basic properties,…
math.CO2002★ 3 cited
The cd-index of the Boolean lattice
Swapneel Mahajan
We study some properties of the {\bf cd}-index of the Boolean lattice. They are extremely similar to the properties of the {\ab}-index, or equivalently, the flag -vector of the…
math.CO2001
Shuffles on Coxeter groups
Swapneel Mahajan
The random-to-top and the riffle shuffle are two well-studied methods for shuffling a deck of cards. These correspond to the symmetric group , i.e., the Coxeter group of type…