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Top rated graph theory books

AI-generated summary · updated July 27, 2026 · verify details before purchase.

  1. Best overall

    Introduction to Graph Theory (Dover Books on Mathematics)

    4.4/5 $10-$20

    A classic text by Richard J. Trudeau, highly accessible for beginners with clear explanations and minimal prerequisites.

    • Very affordable
    • Excellent for self-study
    • Clear and engaging writing
    • Limited advanced topics
  2. Best for applied learning

    Graph Theory and Its Applications (Textbooks in Mathematics)

    4.5/5 $80-$120

    By Jonathan L. Gross and Jay Yellen, it balances theory with real-world applications, includes algorithms and exercises.

    • Strong applied focus
    • Comprehensive coverage
    • Many practice problems
    • Expensive
    • Dense for beginners
  3. Best for business/CS students

    Graph Theory: Modeling, Applications, and Algorithms

    4.3/5 $100-$150

    By Geir Agnarsson and Raymond Greenlaw, emphasizes modeling and algorithmic thinking suitable for computer science and operations research.

    • Algorithm-oriented
    • Real-world modeling
    • Good for CS students
    • High price
    • Less pure math focus
  4. Best for graduate study

    Modern Graph Theory (Graduate Texts in Mathematics)

    4.4/5 $50-$80

    By Béla Bollobás, a rigorous and comprehensive graduate-level text covering advanced topics with numerous exercises.

    • Authoritative and deep
    • Covers advanced topics
    • Good for researchers
    • Challenging for beginners
    • Sparse on applications
  5. Best for problem-solving

    A Walk Through Combinatorics: An Introduction to Enumeration and Graph Theory

    4.6/5 $60-$90

    By Miklós Bóna, integrates combinatorics with graph theory, featuring many solved examples and problems perfect for contest preparation.

    • Excellent problem sets
    • Clear exposition
    • Combines combinatorics
    • Not graph theory only
    • Some topics brief
  6. Best value graduate text

    Graph Theory (Graduate Texts in Mathematics)

    4.5/5 $40-$70

    By Reinhard Diestel, a widely used graduate text known for its concise yet thorough treatment of modern graph theory.

    • Concise and rigorous
    • Well-structured
    • Affordable for a grad text
    • Requires mathematical maturity
    • Few examples
  7. Best budget introduction

    Graph Theory: An Introductory Course

    4.2/5 $30-$50

    By Béla Bollobás, a concise introductory text from the Graduate Texts in Mathematics series, ideal for a first course.

    • Short and focused
    • Good foundational coverage
    • Low cost
    • Very terse
    • Lacks depth in some areas
  8. Best for active learning

    Graph Theory: A Problem Oriented Approach (Mathematical Association of America Textbooks)

    4.4/5 $50-$70

    By Daniel A. Marcus, teaches graph theory through problem-solving with many exercises and solutions, encouraging hands-on learning.

    • Problem-based approach
    • Solutions included
    • Engaging for self-learners
    • Narrower scope
    • Less theory development
  9. Best lightweight intro

    Graphs and Their Uses (Anneli Lax New Mathematical Library)

    4.3/5 $15-$25

    By Oystein Ore, a classic and accessible introduction to graph theory for readers with minimal math background, part of the MAA series.

    • Very accessible
    • Short and sweet
    • Great for novices
    • Outdated some examples
    • Lacks modern topics

Buying advice

Consider your background and goals: beginners should start with Trudeau's 'Introduction to Graph Theory' or Ore's 'Graphs and Their Uses'; students with some math maturity may prefer Diestel's or Bollobás' texts; those interested in applications or computer science will benefit from Gross/Yellen or Agnarsson/Greenlaw; problem solvers should consider Bóna or Marcus. Prices vary widely, with Dover books being most affordable.

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