Combinatorics, Probability and Computing, 1-21. doi:10.1017/S096354831800055X, Cambridge University Press. Abstract An n × n partial Latin square P is called α-dense if each row and column has at most αnnon-emp times in . An × array where each cell contains a subset of {1,…, } is a (, ) -array if each symbol occurs at most times in each row and column and each cell contains a set of size at most . Combining the notions of completing partial Latin squares and avoiding arrays, we prove that there are constants , > 0 such that, for every positive integer , if is an -dense × partial Latin square, is an × -array, and no cell of contains a symbol that appears in the corresponding cell of , then there is a completion of that avoids ; that is, there is a Latin square that agrees with on every non-empty cell of , and, for each , satisfying 1 ≤ , ≤ , the symbol in position (, ) in does not appear in the corresponding cell of .

Plats: Institutet för framtidsstudier, Holländargatan 13, 4 trappor i Stockholm Register here Research seminar with Janine R. Wedel, University Professor, Schar School of Policy and Government,George Mas

Journal of Graph Theory Abstract We consider the problem of extending partial edge colorings of hypercubes. In particular, we obtain an analogue of the positive solution to the famous Evans' conjecture

Albert Weale, Emeritus Professor of Political Theory and Public Policy at University College London.  AbstractMany democratically made choices involve commitments across time. International obligations,

There are two competing hypotheses regarding demographic processes and technological progress. One holds that a rapidly growing adult population stimulates technological progress, while the other hold

Frontiers in Sports and Active Living Abstract The research presented here explores the nuances of data collection and sharing via digital platforms in everyday CrossFit coaching practice. There is a gr

Hidden convergence in ethics

Ethics has for a long time been dominated by several competing traditions. But is it entirely true that these traditions have not moved closer with time. That is what this project aims to investigate.

Janine Wedel: Can civil society counter oligarchic capitalism?

Full title: Russia, Ukraine, and our world of competing visions. Can civil society counter oligarchic capitalism? Research seminar with Janine R. Wedel, University Professor, Schar School of Policy an

Commission: The global politics of AI and healthcare

This is a commission to write a discussion piece for policy makers on how to navigate the changing global politics of AI and healthcare. It is part of the Global (Dis)order Policy Program lead by the British Academy and Carnegie Endowment for International Peace.

Stefan Arora-Jonsson, Professor at the Department of Business Studies, Uppsala universitet ABSTRACTCompetition is a ubiquitous feature of modern society, perhaps more so now than ever before. While com