13 citations · 42 across the 23 of their papers we have counts for
4 papers · 1 filter
An Upper Bound on the Number of -Avoiding Cyclic Permutations
Brice Huang
We show a upper bound on the number of avoiding cyclic permutations. This is the first nontrivial upper bound on the number of such permutations. We…
Cyclic Descents for General Skew Tableaux
Brice Huang
A cyclic descent function on standard Young tableaux of size is a function that restricts to the usual descent function when is omitted, such that the number of standard Yo…
On the Local Geometry of Graphs in Terms of Their Spectra
Brice Huang, Mustazee Rahman
In this paper we consider the relation between the spectrum and the number of short cycles in large graphs. Suppose is a sequence of finite and connected gr…
Convergence of Maximum Bisection Ratio of Sparse Random Graphs
Brice Huang
We consider sequences of large sparse random graphs whose degree distribution approaches a limit with finite mean. This model includes both the random regular graphs and the Erdös-…