Zobrazeno 1 - 10
of 113
pro vyhledávání: '"Araújo, Igor"'
Autor:
Araujo, Igor, Peng, Dadong
Erd\H{o}s and Rado [P. Erd\H{o}s, R. Rado, A combinatorial theorem, Journal of the London Mathematical Society 25 (4) (1950) 249-255] introduced the Canonical Ramsey numbers $\text{er}(t)$ as the minimum number $n$ such that every edge-coloring of th
Externí odkaz:
http://arxiv.org/abs/2409.11574
Given graphs $F$ and $G$, a perfect $F$-tiling in $G$ is a collection of vertex-disjoint copies of $F$ in $G$ that together cover all the vertices in $G$. The study of the minimum degree threshold forcing a perfect $F$-tiling in a graph $G$ has a lon
Externí odkaz:
http://arxiv.org/abs/2305.07294
Autor:
Araujo, Igor, Frederickson, Bryce, Krueger, Robert A., Lidický, Bernard, McAllister, Tyrrell B., Pfender, Florian, Spiro, Sam, Stucky, Eric Nathan
We consider a geometric percolation process partially motivated by recent work of Hejda and Kala. Specifically, we start with an initial set $X \subseteq \mathbb{Z}^2$, and then iteratively check whether there exists a triangle $T \subseteq \mathbb{R
Externí odkaz:
http://arxiv.org/abs/2303.15402
Autor:
Araujo, Igor, Black, Alexander E., Burcroff, Amanda, Gao, Yibo, Krueger, Robert A., McDonough, Alex
Given two vectors $u$ and $v$, their outer sum is given by the matrix $A$ with entries $A_{ij} = u_{i} + v_{j}$. If the entries of $u$ and $v$ are increasing and sufficiently generic, the total ordering of the entries of the matrix is a standard Youn
Externí odkaz:
http://arxiv.org/abs/2302.09194
In 2003, Bohman, Frieze, and Martin initiated the study of randomly perturbed graphs and digraphs. For digraphs, they showed that for every $\alpha>0$, there exists a constant $C$ such that for every $n$-vertex digraph of minimum semi-degree at least
Externí odkaz:
http://arxiv.org/abs/2212.10112
A path in an edge-colored graph is said to be rainbow if no color repeats on it. An edge-colored graph is said to be rainbow $k$-connected if every pair of vertices is connected by $k$ internally disjoint rainbow paths. The rainbow $k$-connection num
Externí odkaz:
http://arxiv.org/abs/2210.12291
An essential cover of the vertices of the $n$-cube $\{0,1\}^n$ by hyperplanes is a minimal covering where no hyperplane is redundant and every variable appears in the equation of at least one hyperplane. Linial and Radhakrishnan gave a construction o
Externí odkaz:
http://arxiv.org/abs/2209.00140
Denote by $F_5$ the $3$-uniform hypergraph on vertex set $\{1,2,3,4,5\}$ with hyperedges $\{123,124,345\}$. Balogh, Butterfield, Hu, and Lenz proved that if $p > K \log n / n$ for some large constant $K$, then every maximum $F_5$-free subhypergraph o
Externí odkaz:
http://arxiv.org/abs/2203.02826
Autor:
Araújo, Igor, Marimon, Beatriz S., Junior, Ben Hur Marimon, Oliveira, Carla H.L., Silva, Jose W.S., Beú, Raiane G., da Silva, Ivone Vieira, Simioni, Priscila F., Tavares, Julia V., Phillips, Oliver L., Gloor, Manuel U., Galbraith, David R.
Publikováno v:
In Environmental and Experimental Botany October 2024 226
We count the ordered sum-free triplets of subsets in the group $\mathbb{Z}/p\mathbb{Z}$, i.e., the triplets $(A,B,C)$ of sets $A,B,C \subset \mathbb{Z}/p\mathbb{Z}$ for which the equation $a+b=c$ has no solution with $a\in A$, $b \in B$ and $c \in C$
Externí odkaz:
http://arxiv.org/abs/2101.05914