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Lectures on Advances in Combinatorics (Paperback, 2008 ed.)
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Lectures on Advances in Combinatorics (Paperback, 2008 ed.)
Series: Universitext
Expected to ship within 10 - 15 working days
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The lectures concentrate on highlights in Combinatorial (ChaptersII
and III) and Number Theoretical (ChapterIV) Extremal Theory, in
particular on the solution of famous problems which were open for
many decades. However, the organization of the lectures in six
chapters does neither follow the historic developments nor the
connections between ideas in several cases. With the speci?ed
auxiliary results in ChapterI on Probability Theory, Graph Theory,
etc., all chapters can be read and taught independently of one
another. In addition to the 16 lectures organized in 6 chapters of
the main part of the book, there is supplementary material for most
of them in the Appendix. In parti- lar, there are applications and
further exercises, research problems, conjectures, and even
research programs. The following books and reports [B97],
[ACDKPSWZ00], [A01], and [ABCABDM06], mostly of the authors, are
frequently cited in this book, especially in the Appendix, and we
therefore mark them by short labels as [B], [N], [E], and [G]. We
emphasize that there are also "Exercises" in [B], a "Problem
Section" with contributions by several authors on pages 1063-1105
of [G], which are often of a combinatorial nature, and "Problems
and Conjectures" on pages 172-173 of [E].
General
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