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Catalan Numbers with Applications

Catalan Numbers with Applications

Thomas Koshy

Published in print:
2008
Published Online:
January 2009
ISBN:
9780195334548
eISBN:
9780199868766
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195334548.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Fibonacci and Lucas sequences are “two shining stars in the vast array of integer sequences,” and because of their ubiquitousness, tendency to appear in quite unexpected and unrelated places, ... More

Combinatorics: Ancient and Modern

Combinatorics: Ancient and Modern

Robin Wilson and John J. Watkins (eds)

Published in print:
2013
Published Online:
September 2013
ISBN:
9780199656592
eISBN:
9780191748059
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199656592.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics, History of Mathematics

The history of mathematics is a well-studied and vibrant area of research, with books and scholarly articles published on various aspects of the subject. Yet, the history of combinatorics seems to ... More

The Diophantine Frobenius Problem

The Diophantine Frobenius Problem

Jorge L. Ramírez Alfonsín

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568209
eISBN:
9780191718229
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568209.001.0001
Subject:
Mathematics, Algebra, Combinatorics / Graph Theory / Discrete Mathematics

During the early part of the last century, F. G. Frobenius raised, in his lectures, the following problem (called the Diophantine Frobenius Problem FP): given relatively prime positive integers a1, . ... More

Graphs and Homomorphisms

Graphs and Homomorphisms

Pavol Hell and Jaroslav Nesetril

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198528173
eISBN:
9780191713644
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528173.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. This text is devoted entirely to the subject, bringing ... More

Invitation to Fixed-Parameter Algorithms

Invitation to Fixed-Parameter Algorithms

Rolf Niedermeier

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198566076
eISBN:
9780191713910
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198566076.001.0001
Subject:
Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This book provides an introduction to the concept of fixed-parameter tractability. The corresponding design and analysis of efficient fixed-parameter algorithms for optimally solving combinatorially ... More

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