Combinatorics Of Set Partitions (discrete Mathematics And Its Applications)
by Toufik Mansour /
2012 / English / PDF
4.9 MB Download
Focusing on a very active area of mathematical research in the
last decade,
Focusing on a very active area of mathematical research in the
last decade,Combinatorics of Set Partitions
Combinatorics of Set Partitions
presents methods used in the combinatorics of pattern avoidance
and pattern enumeration in set partitions. Designed for students
and researchers in discrete mathematics, the book is a one-stop
reference on the results and research activities of set
partitions from 1500 A.D. to today.
presents methods used in the combinatorics of pattern avoidance
and pattern enumeration in set partitions. Designed for students
and researchers in discrete mathematics, the book is a one-stop
reference on the results and research activities of set
partitions from 1500 A.D. to today.
Each chapter gives historical perspectives and contrasts
different approaches, including generating functions, kernel
method, block decomposition method, generating tree, and Wilf
equivalences. Methods and definitions are illustrated with worked
examples and Maple™ code. End-of-chapter problems often draw on
data from published papers and the author’s extensive research in
this field. The text also explores research directions that
extend the results discussed. C++ programs and output tables are
listed in the appendices and available for download on the
author’s web page.
Each chapter gives historical perspectives and contrasts
different approaches, including generating functions, kernel
method, block decomposition method, generating tree, and Wilf
equivalences. Methods and definitions are illustrated with worked
examples and Maple™ code. End-of-chapter problems often draw on
data from published papers and the author’s extensive research in
this field. The text also explores research directions that
extend the results discussed. C++ programs and output tables are
listed in the appendices and available for download on the
author’s web page.
