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pro vyhledávání: '"Mubayi A"'
Autor:
Ghosh Aditi, Castillo Yair Antonio Castillo, Armendariz Domenica Nicole Garzon, Arriola Leon, Mubayi Anuj
Publikováno v:
Computational and Mathematical Biophysics, Vol 12, Iss 1, Pp 1714-1719 (2024)
Close-contact places such as long-term facilities have been found to be high-risk and high-morbidity places in the United States during COVID-19 outbreaks. This could be due to the presence of vulnerable resident population, frequent contacts of resi
Externí odkaz:
https://doaj.org/article/61fa2b8399cc445191ded9feca713bed
Publikováno v:
Computational and Mathematical Biophysics, Vol 11, Iss 1, Pp 13-30 (2023)
More than half of the coronavirus disease 19 (COVID-19) related mortality rates in the United States and Europe are associated with long-term-care facilities (LTCFs) such as old-age organizations, nursing homes, and disability centers. These faciliti
Externí odkaz:
https://doaj.org/article/608ea0562eb54cc38ecb0d189f19aea5
Autor:
Sreevalsan-Nair Jaya, Mubayi Anuj, Chhabra Janvi, Vangimalla Reddy Rani, Ghogale Pritesh Rajesh
Publikováno v:
Computational and Mathematical Biophysics, Vol 11, Iss 1, Pp 770-776 (2023)
It is now known that early government interventions in pandemic management helps in slowing down the pandemic in the initial phase, during which a conservative basic reproduction number can be maintained. There have been several ways to evaluate thes
Externí odkaz:
https://doaj.org/article/0ccf5dbe48974ee9b4923e7807dd778a
Autor:
Chakravarty, Sayok, Mubayi, Dhruv
Fix an integer $s \ge 2$. Let $\mathcal{P}$ be a set of $n$ points and let $\mathcal{L}$ be a set of lines in a linear space such that no line in $\mathcal{L}$ contains more than $(n-1)/(s-1)$ points of $\mathcal{P}$. Suppose that for every $s$-set $
Externí odkaz:
http://arxiv.org/abs/2411.14634
Autor:
Conlon, David, Fox, Jacob, Gunby, Benjamin, He, Xiaoyu, Mubayi, Dhruv, Suk, Andrew, Verstraëte, Jacques, Yu, Hung-Hsun Hans
A natural open problem in Ramsey theory is to determine those $3$-graphs $H$ for which the off-diagonal Ramsey number $r(H, K_n^{(3)})$ grows polynomially with $n$. We make substantial progress on this question by showing that if $H$ is tightly conne
Externí odkaz:
http://arxiv.org/abs/2411.13812
For a $k$-uniform hypergraph $F$ and a positive integer $n$, the Ramsey number $r(F,n)$ denotes the minimum $N$ such that every $N$-vertex $F$-free $k$-uniform hypergraph contains an independent set of $n$ vertices. A hypergraph is $\textit{slowly gr
Externí odkaz:
http://arxiv.org/abs/2409.01442
Recent work showing the existence of conflict-free almost-perfect hypergraph matchings has found many applications. We show that, assuming certain simple degree and codegree conditions on the hypergraph $ \mathcal{H} $ and the conflicts to be avoided
Externí odkaz:
http://arxiv.org/abs/2407.18144
Autor:
Mubayi, Dhruv, Verstraete, Jacques
Let $f_{F,G}(n)$ be the largest size of an induced $F$-free subgraph that every $n$-vertex $G$-free graph is guaranteed to contain. We prove that for any triangle-free graph $F$, \[ f_{F,K_3}(n) = f_{K_2,K_3}(n)^{1 + o(1)} = n^{\frac{1}{2} + o(1)}.\]
Externí odkaz:
http://arxiv.org/abs/2407.03121
Let $ES_{\ell}(n)$ be the minimum $N$ such that every $N$-element point set in the plane contains either $\ell$ collinear members or $n$ points in convex position. We prove that there is a constant $C>0$ such that, for each $\ell, n \ge 3$, $$ (3\ell
Externí odkaz:
http://arxiv.org/abs/2405.03455
Fix $k\ge 11$ and a rainbow $k$-clique $R$. We prove that the inducibility of $R$ is $k!/(k^k-k)$. An extremal construction is a balanced recursive blow-up of $R$. This answers a question posed by Huang, that is a generalization of an old problem of
Externí odkaz:
http://arxiv.org/abs/2405.03112