This volume contains nine survey articles which provide expanded accounts of plenary seminars given at the British Combinatorial Conference at the University of Strathclyde in July 2017. This biennial conference is a well-established international event attracting speakers from around the world. Written by internationally recognised experts in the field, these articles represent a timely snapshot of the state of the art in the different areas of combinatorics. Topics covered include the robustness of graph properties, the spt-function of Andrews, switching techniques for edge decompositions of graphs, monotone cellular automata, and applications of relative entropy in additive combinatorics. The book will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.

About the Authors

Anders Claesson is a Professor of Mathematics at the University of Iceland, Reykjavik. He is a well-established researcher whose main research interests are in enumerative combinatorics, with a focus on permutation patterns.

Mark Dukes is a Lecturer in Mathematics at University College Dublin and an Honorary Senior Lecturer at the University of Strathclyde. His research focuses on discrete and combinatorial mathematics, and their applications to complex systems.

Sergey Kitaev is a Reader in Combinatorics and the Director of Research in the Department of Computer and Information Sciences at the University of Strathclyde. He is the author of numerous publications, including Patterns in Permutations and Words (2011) and Words and Graphs (2015). His research focuses on combinatorics and graph theory.

David Manlove is a Senior Lecturer in Computing Science at the University of Glasgow. He is interested in designing algorithms for problems involving matching agents to commodities (for example, junior doctors to hospitals, kidney patients to donors) in the presence of ordinal preferences or cardinal utilities. His publications include Algorithmics of Matching under Preferences (2013). He has collaborated with the National Health Service and is Vice-Chair of the ENCKEP COST Action (European Network for Collaboration on Kidney Exchange Programmes).

Kitty Meeks is a Research Fellow in Computing Science at the University of Glasgow, where she currently holds a Royal Society of Edinburgh Personal Research Fellowship, funded by the Scottish Government. Her research focuses on the computational complexity of combinatorial problems, with a particular emphasis on parameterised complexity and the application of graph-theoretic methods to real-world problems.

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