Combinatorics book recommendation.

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caffeinemachine
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MHB
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Hello MHB.
I want to read an advanced combinatorics book. I am well versed in combinatorial methods like counting proofs, Pigeon Hole Principle, criticality, induction, graphs etc. I have good knowledge of undergraduate algebra so I am fine if the book you recommend has some algebraic methods.. in fact I would prefer reading a book which discusses algebraic methods in combinatorics. I am comfortable with the following topics at present:

Linear Algebra
Abstract Algebra
Real Analysis
Elementary Number Theory
Graph Theory

Can someone recommend an appropriate book? Thank you in advance.
 
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caffeinemachine said:
Hello MHB.
I want to read an advanced combinatorics book. I am well versed in combinatorial methods like counting proofs, Pigeon Hole Principle, criticality, induction, graphs etc. I have good knowledge of undergraduate algebra so I am fine if the book you recommend has some algebraic methods.. in fact I would prefer reading a book which discusses algebraic methods in combinatorics. I am comfortable with the following topics at present:

Linear Algebra
Abstract Algebra
Real Analysis
Elementary Number Theory
Graph Theory

Can someone recommend an appropriate book? Thank you in advance.

Hi caffeinemachine, :)

These are the books that I have used. Not sure whether these will fit your particular needs though.

1) Combinatorics Topics, Techniques, Algorithms by P.J. Cameron

2) Hadamard Matrices and their Applications by K.J. Horadam

You might be interested in reading >>this<<.

Kind Regards,
Sudharaka.