22 citations · 214 across the 59 of their papers we have counts for
6 papers · 1 filter
On Ryser's Conjecture for Linear Intersecting Multipartite Hypergraphs
Nevena Francetić, Sarada Herke, Brendan D. McKay +1
Ryser conjectured that for -partite hypergraphs, where is the covering number and is the matching number. We prove this conjecture for in the specia…
Overlapping latin subsquares and full products
Joshua M. Browning, Petr Vojtěchovský, Ian M. Wanless
We derive necessary and sufficient conditions for there to exist a latin square of order containing two subsquares of order and that intersect in a subsquare of order $…
Closest multiplication tables of groups
Petr Vojtěchovský, Ian M. Wanless
Suppose that all groups of order are defined on the same set of cardinality , and let the \emph{distance} of two groups of order be the number of pairs $(a,b)\in G\t…
Cycle structure of autotopisms of quasigroups and Latin squares
Douglas S. Stones, Petr Vojtěchovský, Ian M. Wanless
An autotopism of a Latin square is a triple of permutations such that the Latin square is mapped to itself by permuting its rows by , columns by , and symbols by $γ…
Small Partial Latin Squares that Cannot be Embedded in a Cayley Table
Ian M. Wanless, Bridget S. Webb
We answer a question posed by Dénes and Keedwell that is equivalent to the following. For each order what is the smallest size of a partial latin square that cannot be embedded…
Trades in complex Hadamard matrices
Padraig Ó Catháin, Ian M. Wanless
A trade in a complex Hadamard matrix is a set of entries which can be changed to obtain a different complex Hadamard matrix. We show that in a real Hadamard matrix of order all…