4 papers · 1 filter
To cover a permutohedron
Bochao Kong, Ji Zeng
The permutohedron of order is a polytope embedded in whose vertex coordinates are permutations of the first natural numbers. It is obvious that l…
Most Fatou and Julia components are small for polynomials
Jinsong Zeng
We prove that Julia components of polynomials are generally small in diameter. For polynomials without irrationally neutral cycles, Fatou components are also typically small, even…
Evasive sets, twisted varieties, and container-clique trees
Jeck Lim, Jiaxi Nie, Ji Zeng
In the affine space over the finite field of order , a point set is said to be -evasive if the intersection between and any variety, of dimensi…
Ordered Yao graphs: maximum degree, edge density, and clique numbers
Péter Ágoston, Adrian Dumitrescu, Arsenii Sagdeev +2
For a positive integer and an ordered set of points in the plane, define its \textit{k-sector ordered Yao graphs} as follows. Divide the plane around each point into eq…