Beginner's Guide to Graph Theory

From the reviews: "Altogether the book gives a comprehensive introduction to graphs, their theory and their application...The use of the text is optimized when the exercises are solved. The obtained skills improve understanding of graph theory as well... It is very useful that the solutions of these exercises are collected in an appendix." (Simulation News Europe) From the reviews of the second edition: "This book is a gentle introduction to graph theory, presenting the main ideas and topics ... . It is accessible to everyone ... . This introductory book is addressed to a mixed audience - undergraduate mathematics majors, computer scientists, engineers ... . this book is ideal as well for self-reading. The style is always concise and the essential techniques are well highlighted ... . It is highly recommended to any student, or working scientist, wishing to explore for the first time this fascinating area of mathematics." (Fabio Mainardi, The Mathematical Association of America, August, 2009) "This book is intended as an introductory course in Graph Theory, one of the fastest growing disciplines of modern Mathematics. ... The book is nicely written, the presentation is comprehensible but at the same time mathematically precise. The text is supplemented with many figures, with historical notes to many topics and with many examples. ... Summarizing, this is a nice book, useful not only as an introductory reading for 'beginners' in Graph Theory, but also for those who teach introductory courses in Graph Theory." (Zdenek Ryjacek, Mathematica Bohemica, Issue 2, 2010)

• Graphs.- Walks, Paths and Cycles.- Connectivity.- Trees.- Linear Spaces Associated with Graphs.- Factorizations.- Graph Colorings.- Planarity.- Labeling.- Ramsey Theory.- Digraphs.- Critical Paths.- Flows in Networks.- Computational Considerations.- Communications Networks and Small-Worlds.