A First Course in Topology

Renzo Cavalieri, Colorado State University , Eric Miles, Colorado Mesa University

Modern Algebra for Group Theory, Linear Algebra, Discrete Mathematics, Cryptography, Complex Analysis, Topology Students

The concept of a graph is fundamental in mathematics since it con- veniently encodes diverse relations and facilitates combinatorial anal- ysis of many complicated counting problems. In this book, we have traced the origins of graph theory from its humble beginnings of recre- ational mathematics to its modern setting for modeling communication networks as is evidenced by the world wide web graph used by many internet search engines.