2 citations · 5 across the 11 of their papers we have counts for
8 papers · 1 filter
Threshold functions for incidence properties in finite vector spaces
Jeong Han Kim, Ben Lund, Thang Pham +1
The main purpose of this paper is to provide threshold functions for the events that a random subset of the points of a finite vector space has certain properties related to point-…
Continuously Increasing Subsequences of Random Multiset Permutations
Alexander Clifton, Bishal Deb, Yifeng Huang +2
For a word and integer , we define to be the length of the longest subsequence of the form , and we let . In this paper we esti…
An Isometric Invariant of Quadratic Spaces over Finite Fields
Semin Yoo
Let be the finite field with an odd prime power . In this paper, we construct a new isometric invariant of combinatorial type on $(\mathbb{F}^{n}_{q},\text{dot}…
Embeddings of quadratic spaces over the field of -adic numbers
Semin Yoo
Nondegenerate quadratic forms over -adic fields are classified by their dimension, discriminant, and Hasse invariant. This paper uses these three invariants, elementary facts ab…
A combinatorial correspondence between finite Euclidean geometries and symmetric subsets of
Semin Yoo
-analogues of quantities in mathematics involve perturbations of classical quantities using the parameter , and revert to the original quantities when goes . An import…
Incidences between quadratic subspaces over finite fields
Semin Yoo
Let be a finite field of order , where is an odd prime power. A quadratic subspace of is…
Graphs associated with orthogonal collections of k-planes over finite fields
Semin Yoo
We study graphs coming from quadratic spaces over finite fields via orthogonality which generalize a recent result given by Bishnoi, Ihringer, and Pepe (2019). More precisely, we s…
Combinatorics of Euclidean spaces over finite fields
Semin Yoo
The -binomial coefficients are q-analogues of the binomial coefficients, counting the number of -dimensional subspaces in the -dimensional vector space ov…