Introductory books on Graph Theory and Combinatorics?

In summary, the conversation is about a college junior seeking recommendations for books on graph theory and combinatorics for their undergraduate research project. They have a good mathematical background but want books that are more reader-friendly and introductory. They provide a link to a potential book option.
  • #1
bacte2013
398
47
Dear Physics Forum friends,

I am a college junior who is currently conducting the undergraduate research in the theoretical computer science. I wrote this post to seek you recommendation on the books that separately treat the graph theory and combinatotics, both in theory and applications. I really need to understand the graph theory and combinatotics as it is one of the crucial parts of my current project. I am encountering terms like counting problems, matchings, H-coloring/homomorphisms, 2-3 graphs, etc. I am currently taking Analysis I (Rudin) and Linear Algebra (Hoffman/Kunze) so I have a good degree of mathematical maturity, but I would like books that treat the combinatorics and graph theory in a reader-friendly, introductory levels.
 
Physics news on Phys.org

Related to Introductory books on Graph Theory and Combinatorics?

1. What is graph theory and combinatorics?

Graph theory is a branch of mathematics that deals with the study of graphs, which are mathematical structures used to model relationships between objects. Combinatorics is a branch of mathematics that deals with counting and arranging objects.

2. Who can benefit from reading introductory books on graph theory and combinatorics?

Anyone interested in learning about the fundamentals of graph theory and combinatorics can benefit from reading introductory books on the subject. This includes mathematicians, computer scientists, and other professionals in related fields.

3. What are some real-life applications of graph theory and combinatorics?

Graph theory and combinatorics have many practical applications, including in computer science, transportation and network systems, social networks, and cryptography. They are also used in various fields of science, such as biology, chemistry, and physics.

4. Are there any prerequisites for understanding introductory books on graph theory and combinatorics?

Some basic knowledge of algebra and set theory is helpful for understanding introductory books on graph theory and combinatorics. However, most introductory books are written in a way that is accessible to readers with a general mathematical background.

5. Can I use graph theory and combinatorics to solve everyday problems?

Yes, graph theory and combinatorics can be applied to solve everyday problems, such as scheduling tasks, optimizing resources, and finding the shortest route between two points. Learning the basics of these subjects can help improve problem-solving skills in various areas of life.

Similar threads

Discrete Combinatorics and Graph Theory books
    • Science and Math Textbooks
Replies
1
Views
1K
Discrete Books on the introductory number theory?
    • Science and Math Textbooks
Replies
5
Views
2K
Recommendations for a book on Graph Theory?
    • Science and Math Textbooks
Replies
4
Views
4K
Discrete Graph Theory book or literature that dives into these concepts
    • Science and Math Textbooks
Replies
1
Views
1K
Prob/Stats Seeking a good introductory book in probability theory?
    • Science and Math Textbooks
Replies
1
Views
2K
Quantum Good introductory books in the Quantum Mechanics?
    • Science and Math Textbooks
Replies
3
Views
2K
Combinatorics/graph theory or number theory books
    • Science and Math Textbooks
Replies
1
Views
3K
Relativity Suggestions for graduate studies in General Relativity
    • Science and Math Textbooks
Replies
18
Views
2K
Number Theory Concise Introduction Book to Number Theory?
    • Science and Math Textbooks
Replies
3
Views
2K
Analysis How is "Advanced Calculus" by Loomis/Sternberg?
    • Science and Math Textbooks
Replies
15
Views
9K

Hot Threads

Recent Insights

Back
Top