Texts and Readings in Mathematics: Second Edition

Cioabă, Sebastian M.; Murty, M. Ram

This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick’s theorem on areas of lattice polygons and Graham–Pollak’s work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.

Details

Published by: Springer

Publication Date: 2023-07-19

Format: Paperback

ISBN-13: 9789811913624

DOI: 10.1007/978-981-19-0957-3

Dimensions: 235cm x155cm

Pages: 222