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Partitions and Catalan Numbers

Thomas Koshy

in Catalan Numbers with Applications

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.003.0010
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter investigates several occurrences of Catalan numbers in the theory of partitioning. Noncrossing partition is explained in detail.


EXPANDING THE TUTTE POLYNOMIAL OF A MATROID OVER THE INDEPENDENT SETS

Koko Kalambay Kayibi

in Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh

Published in print:
2007
Published Online:
September 2007
ISBN:
9780198571278
eISBN:
9780191718885
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198571278.003.0011
Subject:
Mathematics, Probability / Statistics

This chapter provides direct combinatorial proof of an expansion of the Tutte polynomial by independent sets of the matroid. Another expansion of the Tutte polynomial is presented in terms of ... More


A Game-Theoretic Perspective on Coalition Formation

Debraj Ray

Published in print:
2007
Published Online:
January 2008
ISBN:
9780199207954
eISBN:
9780191709104
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199207954.001.0001
Subject:
Economics and Finance, Financial Economics

The formation of coalitions to achieve both collaborative and competitive goals is a phenomenon we see all around us. The list of examples of this phenomenon is long and varied: production cartels, ... More


The Limits to Coercive Consociationalism in Northern Ireland

John McGarry and Brendan O'Leary

in The Northern Ireland Conflict: Consociational Engagements

Published in print:
2004
Published Online:
August 2004
ISBN:
9780199266579
eISBN:
9780191601446
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199266573.003.0003
Subject:
Political Science, UK Politics

The chapter, initially published in 1989, reviews efforts by the UK and Irish governments to achieve a settlement in Northern Ireland during the late 1980s. It bears the impress of its time; ... More


THE HIGH NOON OF UNIONISM: 1886–1921

Iain Mclean and Alistair McMillan

in State of the Union

Published in print:
2005
Published Online:
February 2006
ISBN:
9780199258208
eISBN:
9780191603334
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199258201.003.0005
Subject:
Political Science, UK Politics

This chapter examines the unravelling of the Union between 1886 and 1921. It discusses the continuing link between Union and Empire, the incoherence of Diceyan Unionism, centre-periphery politics, ... More


Organizational Ecology as a Theory of Competition

Nikolaus Beck

in The Institutions of the Market: Organizations, Social Systems, and Governance

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199231423
eISBN:
9780191710865
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199231423.003.0010
Subject:
Business and Management, Political Economy

This chapter shows that organizational ecology is much more sociological and less biological than many critics of organizational ecology think. It argues that organizational ecology and its theory of ... More


Advanced Statistical Mechanics

Barry M McCoy

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199556632
eISBN:
9780191723278
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556632.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book begins where elementary books and courses leave off and covers the advances made in statistical mechanics in the past fifty years. The book is divided into three parts. The first part is on ... More


Parts of the Soul

Hendrik Lorenz

in The Brute Within: Appetitive Desire in Plato and Aristotle

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199290635
eISBN:
9780191604027
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199290636.003.0003
Subject:
Philosophy, Ancient Philosophy

This chapter raises and explains two central questions about Plato’s theory of the tripartite soul. First, what is involved in Plato’s claim that the embodied human soul is a thing of parts? ... More


The Argument for Tripartition

Hendrik Lorenz

in The Brute Within: Appetitive Desire in Plato and Aristotle

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199290635
eISBN:
9780191604027
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199290636.003.0004
Subject:
Philosophy, Ancient Philosophy

This chapter argues that Republic-style partition of the soul amounts to a position that can fairly be characterized in terms of two main claims. First, the proper subjects of desires and aversions ... More


Partition

Hendrik Lorenz

in The Brute Within: Appetitive Desire in Plato and Aristotle

Published in print:
2006
Published Online:
September 2006
ISBN:
9780199290635
eISBN:
9780191604027
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199290636.003.0005
Subject:
Philosophy, Ancient Philosophy

This chapter addresses the concern that for a Platonic soul to make sense, is not right to say that it has genuine parts. It also assesses the philosophical cost of soul-partition by considering its ... More


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