EAN: 9783110226737

TEXTBOOK A PRIMER IN COMBINATORICS - ALEXANDE...

This textbook is devoted to Combinatorics and Graph Theory  which are cornerstones of Discrete
Mathematics. Every section begins with simple model problems. Following their detailed analysis
the reader is led through the derivation of definitions  concepts and methods for solving
typical problems. Theorems then are formulated  proved and illustrated by more problems of
increasing difficulty. Topics covered include elementary combinatorial constructions 
application to probability theory  introduction to graphs and trees with application to
hierarchical clustering algorithms  more advanced counting techniques  and existence theorems
in combinatorial analysis. The text systematically employs the basic language of set theory.
This approach is often useful for solving combinatorial problems  especially problems where one
has to identify some objects  and significantly reduces the number of the students' errors  it
is demonstrated in the text on many examples. The textbook is suitable for undergraduate and
entry-level graduate students of mathematics and computer science  lecturers in these fields 
and anyone studying combinatorial methods and graphical models for solving various problems.
The book contains more than 700 problems and can be used as a reading and problem book for an
independent study seminar or self-education.

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