Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

Michel RIGO is Full Professor at the University of Liège, Department of Mathematics, in Belgium, where he is also head of the Discrete Mathematics research group. His current research interests include combinatorics on words, formal language theory and number theory.