by S. E. Payne
Publisher: University of Colorado 2003
Number of pages: 216
The course at CU-Denver for which these notes were assembled, Math 6409 (Applied Combinatorics), deals more or less entirely with enumerative combinatorics. We have tried to include some truly traditional material and some truly nontrivial material, albeit with a treatment that makes it accessible to the student. We shall derive a variety of techniques for counting, some purely combinatorial, some involving algebra in a moderately sophisticated way.
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by Klaus Truemper - Leibniz
Matroids were introduced in 1935 as an abstract generalization of graphs and matrices. Matroid decomposition covers the area of the theory dealing with decomposition and composition of matroids. The exposition is clear and simple.
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The object of this work is to present an account of theorems in combinatory analysis which are of a perfectly general character, and to shew the connexion between them by as far as possible bringing them together as parts of a general doctrine ...
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This introduction to combinatorics, the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. Some ability to construct proofs is assumed.