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 .

Child Development Abstract Research shows that peer relationships are associated with students' school adjustment. However, the importance of advantageous and disadvantageous factors for students' educa

SSM - Population Health, Volume 15, 2021 AbstractMental health problems are associated with a greater risk of being Not in Employment, Education or Training (NEET) during young adulthood. Yet evidence

Social Science & Medicine – Population Health, 15, 100873 Abstract Mental health problems are associated with a greater risk of being Not in Employment, Education or Training (NEET) during young adu

Dreamers

Why are educational inequalities by gender and immigrant background not those we would expect given students’ aspirations, confidence, and stress?

Optimism trap or optimism springboard? Aspirations, educational trajectories, and early careers of youth with foreign-born parents

Young people in immigrant families have a markedly higher educational and occupational aspirations than others. This optimism has been regarded as something positive, but it seems it can also lead to a higher degree of failure. This project will take a closer look at the outcomes.

Frida Rudolphi

I am a researcher in sociology at the Swedish Institute for Social Research (SOFI), Stockholm University and affiliated to the Institute for Futures Studies. My research primarily concerns inequality i

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

Andrea S. Asker

I am a PhD candidate at Stockholm University and a research assistant at the Institute for Futures Studies. I am also affiliated with the Mimir Center for Long Term Futures at the institute. I have an in

How to solve the climate crisis together

This projects aims to solve ideological conflicts when it comes to climate politics, by suggesting climate work that aligns with the different ideologies' values.