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math.CO2014
The topology of the external activity complex of a matroid
Federico Ardila, Federico Castillo, Jose Alejandro Samper
We prove that the external activity complex of a matroid is shellable. In fact, we show that every linear extension of LasVergnas's external/internal order $<_{…
math.CO2014★ 1 cited
Lexicographic shellability, matroids and pure order ideals
Steven Klee, Jose Alejandro Samper
In 1977 Stanley conjectured that the -vector of a matroid independence complex is a pure -sequence. In this paper we use lexicographic shellability for matroids to motivate a…