Graph Theory
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Author Description
An effort has been made to present the various topics in the theory of graphs in a logical order, to indicate the historical background, and to clarify the exposition by including figures to illustrate concepts and results. In addition, there are three appendices which provide diagrams of graphs, directed graphs, and trees. The emphasis throughout is on theorems rather than algorithms or applications, which however are occaisionally mentioned.
Menrva's Summary
THE THESIS
This text investigates the fundamental principles and structural properties of graphs through a rigorous, theorem-based mathematical framework. Frank Harary, a prominent figure in the field, organizes the subject matter to provide a logical progression of graph theory concepts. The work prioritizes theoretical development and formal proofs, utilizing historical context and illustrative diagrams to clarify complex mathematical relationships.
THE SCOPE MAP
What You Will Find
- Comprehensive coverage of graph theory topics including directed graphs and trees
- Formal presentation of mathematical theorems and their proofs
- Extensive use of diagrams and visual aids to illustrate abstract concepts
- Historical background and development of key graph theory results
THE AUTHORITY PERSPECTIVE
Experts recognize this work as a foundational text in the study of graph theory due to its formal and systematic approach. Readers frequently note the high level of mathematical density, making it a standard reference for students and researchers in the field.
Page Count:
288
Publication Date:
1994-11-01
Publisher:
CRC Press
ISBN-10:
0201410338
ISBN-13:
9780201410334
textbook
Graph Theory
Academic
Mathematics
