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math.CO2021
Shellability and homology of -complexes and -matroids
Sudhir R. Ghorpade, Rakhi Pratihar, Tovohery H. Randrianarisoa
We consider a -analogue of abstract simplicial complexes, called -complexes, and discuss the notion of shellability for such complexes. It is shown that -complexes formed…
math.AC2021★ 3 cited
On the Purity of Resolutions of Stanley-Reisner Rings Associated to Reed-Muller Codes
Sudhir R. Ghorpade, Rati Ludhani
Following Johnsen and Verdure (2013), we can associate to any linear code an abstract simplicial complex and in turn, a Stanley-Reisner ring . The ring is a standard…