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.
I love to read books on Mathematics now and then to keep my brain challenged! I do not claim to understand it all, but there is much food for thought. Math is one of the glimpses we have into the divine order of the Universe.