This volume contains the proceedings of the 18th British Combinatorial Conference. This meeting, held every two years is now a key event for mathematicians working in combinatorics throughout the world. The papers contained here are from the invited speakers and are thus of a quality fitting for the event. This book will be a valuable reference for researchers in a variety of branches of combinatorics. However, graduate students will find much here that will be of use for future directions in their research.