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Block designs

NORMAN BIGGS and ROBIN WILSON

in Combinatorics: Ancient and Modern

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199656592
eISBN:
9780191748059
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199656592.003.0011
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

This chapter outlines the origins of design theory, with particular reference to the ‘Steiner triple systems’, the pioneering work of Thomas Kirkman, and early contributions by a number of writers on ... More


Decomposing Graphs

Arthur Benjamin, Gary Chartrand, and Ping Zhang

in The Fascinating World of Graph Theory

Published in print:
2017
Published Online:
May 2018
ISBN:
9780691175638
eISBN:
9781400852000
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691175638.003.0008
Subject:
Mathematics, Applied Mathematics

This chapter considers problems of whether a graph can be decomposed into certain other kinds of graphs, primarily cycles. It begins with a background on nineteenth-century mathematician Thomas ... More


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