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pro vyhledávání: '"Holleben, Thiago"'
Autor:
Holleben, Thiago
The theory of Rees algebras of monomial ideals has been extensively studied, and as a consequence, many (sometimes partial) equivalences between algebraic properties of monomial ideals, and combinatorial properties of simplicial complexes and hypergr
Externí odkaz:
http://arxiv.org/abs/2404.12471
Computing the homotopy type and homological invariants of the independence complex of ternary graphs
Autor:
Faridi, Sara, Holleben, Thiago
In 2022, Jinha Kim proved a conjecture by Engstr\"om that states the independence complex of a graph with no induced cycle of length divisible by 3 is either contractible or homotopy equivalent to a sphere. We give criteria for when the independence
Externí odkaz:
http://arxiv.org/abs/2311.07727
Autor:
Holleben, Thiago
Recently, H. Dao and R. Nair gave a combinatorial description of simplicial complexes $\Delta$ such that the squarefree reduction of the Stanley-Reisner ideal of $\Delta$ has the WLP in degree $1$ and characteristic zero. In this paper, we apply the
Externí odkaz:
http://arxiv.org/abs/2306.13274
We consider Artinian level algebras arising from the whiskering of a graph. Employing a result by Dao-Nair we show that multiplication by a general linear form has maximal rank in degrees 1 and $n-1$ when the characteristic is not two, where $n$ is t
Externí odkaz:
http://arxiv.org/abs/2306.04393
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