Aimed at graduate students and researchers, this fascinating text provides a comprehensive study of the Erdos-Ko-Rado Theorem, with a focus on algebraic methods. The authors begin by discussing well-known proofs of the EKR bound for intersecting families. The natural generalization of the EKR Theorem holds for many different objects that have a notion of intersection, and the bulk of this book focuses on algebraic proofs that can be applied to these different objects. The authors introduce tools commonly used in algebraic graph theory and show how these can be used to prove versions of the EKR Theorem. Topics include association schemes, strongly regular graphs, the Johnson scheme, the Hamming scheme and the Grassmann scheme. Readers can expand their understanding at every step with the 170 end-of-chapter exercises. The final chapter discusses in detail 15 open problems, each of which would make an interesting research project.

TV adaptation of the bestselling children's novel by Nina Bawden. When 14-year-old Carrie Willow (Keeley Fawcett) and her younger brother Nick (Jack Stanley) are evacuated from London to the small Welsh town of Druids Bottom during World War II, they are taken in by the strict Mr Evans (Alun Armstrong) and his sister Auntie Lou (Lesley Sharp). As the children gradually realise they have entered a mysterious world of curses, witchcraft and druids, their lives are altered forever.