Combinatorics and Graph Theory books

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SUMMARY

The discussion focuses on recommended textbooks for studying combinatorics and graph theory independently. Key texts mentioned include "Introductory Combinatorics, 5th" by Richard Brualdi, "Introduction to Graph Theory, 2nd" by Douglas West, and "Applied Combinatorics, 6th" by Alan Tucker. Participants emphasize the suitability of these books for foundational understanding, particularly noting that Brualdi's text is essential for an upcoming undergraduate course. The consensus is that these resources provide a solid introduction to both fields.

PREREQUISITES
  • Basic understanding of number theory
  • Familiarity with cryptography concepts
  • Knowledge of mathematical proofs and logic
  • Access to combinatorial and graph theory textbooks
NEXT STEPS
  • Read "Introductory Combinatorics, 5th" by Richard Brualdi
  • Study "Introduction to Graph Theory, 2nd" by Douglas West
  • Explore "Applied Combinatorics, 6th" by Alan Tucker
  • Research online resources or courses on combinatorics and graph theory
USEFUL FOR

Students and self-learners interested in combinatorics and graph theory, particularly those preparing for future coursework in these subjects.

bacte2013
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Dear Physics Forum advisers,

My recent study on number theory and cryptography got me really interested in the fields of combinatorics and graph theory. I am really interested in learning about them independently now since I will not be able to take the combinatorics course until next year, and there is no undergraduate graph theory course in my university :(. My research lab has "Introductory Combinatorics, 5th" by Richard Brualdi, "Introduction to Graph Theory, 2nd" by Douglas West, and "Applied Combinatorics, 6th" by Alan Tucker. Is any of those textbooks good to study combinatorics and graph theory? I am hesitating in purchasing additional textbooks since I spent most of my money on other textbooks...But I will purchase what you recommend if all those books are not good as an introduction. Brualdi is a required text for my future undegraduate combinatorics course.

PK
 
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