Geodesic
Shellability of componentwise discrete polymatroids
Antonino Ficarra1
1University of Messina
The electronic journal of combinatorics, Tome 32 (2025) no. 1
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In the present paper, motivated by a conjecture of Jahan and Zheng, we prove that componentwise polymatroidal ideals have linear quotients. This solves positively a conjecture of Bandari and Herzog. We introduce componentwise discrete polymatroids, as the combinatorial counterpart of componentwise polymatroidal ideals, and show that they are shellable multicomplexes.
DOI : 10.37236/12818
Classification : 13F20, 13H10

Antonino Ficarra  1

1 University of Messina 
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Antonino Ficarra. Shellability of componentwise discrete polymatroids. The electronic journal of combinatorics, Tome 32 (2025) no. 1. doi: 10.37236/12818

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