2027348
Johns Hopkins University Press
Bob Oeste, (410)-516-6933
roeste@jhu.edu
20170525
eng
01
USD
0801869773
03
02
0801869773
03
9780801869778
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9780801869778
59
BC
B102
01
JHUP
JHM
Johns Hopkins Studies in the Mathematical Sciences
6
01
JHUP
2043
Combinatorics and Partially Ordered Sets
<TitleType>01</TitleType>
<TitleText textcase="00">Combinatorics and Partially Ordered Sets</TitleText>
<Subtitle>Dimension Theory</Subtitle>
01
2043
http://jhupbooks.press.jhu.edu/ecom/MasterServlet/GetItemDetailsHandler?iN=9780801869778&qty=1&viewMode=1&loggedIN=false&JavaScript=y
1
A01
William T. Trotter
Trotter, William T.
William T.
Trotter
<B>William T. Trotter </B> is Regents' Professor of Mathematics at Arizona State University and director of Combinatorics and Operations Research for Bell Communications Research in Morristown, New Jersey.
William T. Trotter
01
eng
328
MAT036000
PB
2.1
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MAT003000
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PBW
93
2016
PBW
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<P>Eminently suitable as a self-study or supervised text in partially ordered sets and combinatorics.</P>
SIAM Review
01
00
<P>Primarily intended for research mathematicians and computer scientists, <I>Combinatorics and Partially Ordered Sets: Dimension Theory</I> also serves as a useful text for advanced students in either field. William Trotter concentrates on combinatorial topics for finite partially ordered sets, and with dimension theory serving as a unifying theme, research on partially ordered sets or posets is linked to more traditional topics in combinatorial mathematics—including graph theory, Ramsey theory, probabilistic methods, hypergraphs, algorithms, and computational geometry. The book's most important contribution is to collect, organize, and explain the many theorems on partially ordered sets in a way that makes them available to the widest possible audience.</P><P>Chapters: Introduction to Dimension • Crowns, Splits, Stacks, Sums and Products • Characterization Problems for Posets, Lattices, Graphs, and Families of Sets • Hypergraph Coloring, Computational Complexity, and Irreducible Posets • Planar Posets and Trees • Planar Graphs, Planar Maps and Convex Polytopes • Probabilistic Methods in Dimension Theory • Interval and Geometric Containment Orders • Greedy Dimension, Back-Tracking, and Depth First Search • Products of Chains of Bounded Length • Large Minimal Realizers</P>
Johns Hopkins University Press
04
00
<P><BR>Contents:</BR><BR>Introduction to Dimension • Crowns, Splits, Stacks, Sums and Products • Characterization Problems for Posets, Lattices, Graphs, and Families of Sets • Hypergraph Coloring, Computational Complexity and Irreducible Posets • Planar Maps, and Convex Polytopes • Probabilistic Methods in Dimension Theory • Interval and Geometric Containment Orders • Greedy Dimension, Back-Tracking and Depth First Search • Products of Chains of Bounded Length • Large Minimal Realizers</BR></P>
Johns Hopkins University Press
13
00
<P><B>William T. Trotter </B> is Regents' Professor of Mathematics at Arizona State University and director of Combinatorics and Operations Research for Bell Communications Research in Morristown, New Jersey. </P>
Johns Hopkins University Press
04
03
72
01
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JHUP
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Johns Hopkins University Press
Baltimore
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20011218
1992
JHUP
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WORLD
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2027348
Johns Hopkins University Press
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www.press.jhu.edu
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