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math.CO2023
Tiling edge-ordered graphs with monotone paths and other structures
Igor Araujo, Simón Piga, Andrew Treglown +1
Given graphs and , a perfect -tiling in is a collection of vertex-disjoint copies of in that together cover all the vertices in . The study of the minimum…
math.CO2023
Triangle Percolation on the Grid
Igor Araujo, Bryce Frederickson, Robert A. Krueger +5
We consider a geometric percolation process partially motivated by recent work of Hejda and Kala. Specifically, we start with an initial set , and then it…
math.CO2023
Realizable Standard Young Tableaux
Igor Araujo, Alexander E. Black, Amanda Burcroff +3
Given two vectors and , their outer sum is given by the matrix with entries . If the entries of and are increasing and sufficiently gener…