A stimulating excursion into pure mathematics aimed at "the mathematically traumatized," but great fun for mathematical hobbyists and serious mathematicians as well. This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.
Introduction to Graph Theory
----- From a review of the first edition: "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.
Clear, lively style covers all basics of theory and application, including mathematical models, elementary graph theory, transportation problems, connection problems, party problems, diagraphs and mathematical models, games and puzzles, ...
This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint.
This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences.
Economic applications of graphs ands equations, differnetiation rules for exponentiation of exponentials ...
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications ...
... 135-136,138, 144, 158, 221, 231, 324 Fejér, Leopold 321-322 Franklin, Philip 265 Frobenius, Ferdinand Georg 72 Frucht, Roberto 72-73 Gallai, Tibor 156, 190-191, 309, 321322 Gauss, Carl Friedrich 322 Goldbach, Christian 231 Golomb, ...
From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject.
This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for ...