9 citations · 27 across the 27 of their papers we have counts for
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The projective dimension of sequentially Cohen-Macaulay monomial ideals
Sara Faridi
In this short note we prove that the projective dimension of a sequentially Cohen-Macaulay square-free monomial ideal is equal to the maximal height of its minimal primes (also kno…
Multigraded Betti numbers of simplicial forests
Nursel Erey, Sara Faridi
We prove that multigraded Betti numbers of a simplicial forest are always either 0 or 1. Moreover a nonzero multidegree appears exactly at one homological degree in the resolution.…
Games and Complexes II: Weight Games and Kruskal-Katona Type Bounds
Sara Faridi, Svenja Huntemann, Richard J. Nowakowski
A strong placement game played on a board is equivalent to a simplicial complex . We look at weight games, a subclass of strong placement games, and introduce uppe…
Games and Complexes I: Transformation via Ideals
Sara Faridi, Svenja Huntemann, Richard J. Nowakowski
Placement games are a subclass of combinatorial games which are played on graphs. We will demonstrate that one can construct simplicial complexes corresponding to a placement game,…
When is a Squarefree Monomial Ideal of Linear Type ?
Ali Alilooee, Sara Faridi
In 1995 Villarreal gave a combinatorial description of the equations of Rees algebras of quadratic squarefree monomial ideals. His description was based on the concept of closed ev…
A good leaf order on simplicial trees
Sara Faridi
Using the existence of a good leaf in every simplicial tree, we order the facets of a simplicial tree in order to find combinatorial information about the Betti numbers of its face…