Zobrazeno 1 - 10
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pro vyhledávání: '"Goodarzi, Afshin"'
The well known fractional Helly theorem and colorful Helly theorem can be merged into the so called colorful fractional Helly theorem. It states: For every $\alpha \in (0, 1]$ and every non-negative integer $d$, there is $\beta_{col} = \beta_{col}(\a
Externí odkaz:
http://arxiv.org/abs/2010.15765
Autor:
Goodarzi, Afshin
We show that the sequentially $(S_r)$ condition for simplicial complexes is a topological property. Along the way, we present an elementary proof for the fact that the Serre's condition $(S_r)$ is a topological property.
Externí odkaz:
http://arxiv.org/abs/2001.11397
Autor:
Goodarzi, Afshin
Inspired by the works of Adiprasito, Babson, Nevo, and Murai on the $g$-conjecture, we consider different classes of PL-spheres and the relations between them. We focus on a certain class of spheres that is in the intersection of vertex-decomposable
Externí odkaz:
http://arxiv.org/abs/1906.04134
Autor:
Goodarzi, Afshin
This thesis consists of six papers related to combinatorics and commutative algebra. In Paper A, we use tools from topological combinatorics to describe the minimal free resolution of ideals with a so called regular linear quotient. Our result genera
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-186136
Autor:
Goodarzi, Afshin
This thesis consist of the following three papers. Convex hull of face vectors of colored complexes. In this paper we verify a conjecture by Kozlov (Discrete ComputGeom18(1997) 421–431), which describes the convex hull of theset of face vectors ofr
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-145029
Autor:
Goodarzi, Afshin1 (AUTHOR), Abdi, Alireza2 (AUTHOR), Ghasemi, Hooman3 (AUTHOR), Darvishi, Niloofar3 (AUTHOR), Jalali, Rostam2 (AUTHOR) ks_jalali@yahoo.com
Publikováno v:
BMC Emergency Medicine. 8/21/2023, Vol. 23 Issue 1, p1-10. 10p.
Autor:
Björner, Anders, Goodarzi, Afshin
We study $d$-dimensional simplicial complexes that are PL embeddable in $\mathbb{R}^{d+1}$. It is shown that such a complex must satisfy a certain homological condition. The existence of this obstruction allows us to provide a systematic approach to
Externí odkaz:
http://arxiv.org/abs/1605.01240
Autor:
Goodarzi, Afshin
Let $\k$ be a field and let $A$ be a standard $\mathbb{N}$-graded $\k$-algebra. Using numerical information of some invariants in the primary decomposition of $0$ in $A$, namely the so called dimension filtration, we associate a bivariate polynomial
Externí odkaz:
http://arxiv.org/abs/1504.04328
A numerical characterization is given of the so-called h-triangles of sequentially Cohen-Macaulay simplicial complexes. This result characterizes the number of faces of various dimensions and codimensions in such a complex, generalizing the classical
Externí odkaz:
http://arxiv.org/abs/1502.01183
The connectivity of graphs of simplicial and polytopal complexes is a classical subject going back at least to Steinitz, and the topic has since been studied by many authors, including Balinski, Barnette, Athanasiadis and Bjorner. In this note, we pr
Externí odkaz:
http://arxiv.org/abs/1409.6657