14 citations · 41 across the 10 of their papers we have counts for
4 papers · 2 filters
On applications of Razborov's flag algebra calculus to extremal 3-graph theory
Victor Falgas-Ravry, Emil R. Vaughan
In this paper, we prove several new Turán density results for 3-graphs with independent neighbourhoods. We show: π(K_4^-, C_5, F_{3,2})=12/49, π(K_4^-, F_{3,2})=5/18, and π(J_4, F_…
An analogue of Ryser's Theorem for partial Sudoku squares
P. J. Cameron, A. J. W. Hilton, E. R. Vaughan
In 1956 Ryser gave a necessary and sufficient condition for a partial latin rectangle to be completable to a latin square. In 1990 Hilton and Johnson showed that Ryser's condition…
Hall's Condition for Partial Latin Squares
A. J. W. Hilton, E. R. Vaughan
Hall's Condition is a necessary condition for a partial latin square to be completable. Hilton and Johnson showed that for a partial latin square whose filled cells form a rectangl…
Gerechte Designs with Rectangular Regions
J. Courtiel, E. R. Vaughan
A \emph{gerechte framework} is a partition of an array into regions of cells each. A \emph{realization} of a gerechte framework is a latin square of order …