Graphical trades

Graphical Abstracts

4-homogeneous Latin Trades

Rich Trades, Scarce Capabilities:

In the last decade of the sixteenth century, the Dutch republic underwent a dramatic economic transformation that laid the foundation of the country’s Golden Age. At the heart of this process was the rise of the ‘rich trades’, the network by which Dutch shipping came to dominate the lucrative trade routes to the East Indies, the Americas and the Levant (Israel (1990)). The rise of the ‘rich tra...

Exploring the dangerous trades.

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Minimal homogeneous latin trades

A latin trade is a subset of a latin square which may be replaced with a disjoint mate to obtain a new latin square.A d-homogeneous latin trade is one which intersects each row, each column and each entry of the latin square either 0 or d times. In this paper we give a construction for minimal d-homogeneous latin trades of size dm, for every integer d 3, and m 1.75d2 + 3. We also improve this b...