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math.AC2023
Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index
Clemens Heuberger, Jutta Rath, Roswitha Rissner
The sequence of associated primes of powers of a monomial ideal in a polynomial ring eventually stabilizes by a known result…
math.CO2023
The distribution of the maximum protection number in simply generated trees
Clemens Heuberger, Sarah J. Selkirk, Stephan Wagner
The protection number of a vertex in a tree is the length of the shortest path from to any leaf contained in the maximal subtree where is the root. In this paper, we de…