Combinatorial Mathematics, Optimal Designs, and Their Applications

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Elsevier, Aug 26, 2011 - Mathematics - 390 pages
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Combinatorial Mathematics, Optimal Designs, and Their Applications
 

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Contents

Chapter 1 Results and problems in Galois geometry
1
Factorial designs
7
Chapter 3 Partial λgeometries of small nexus
19
Chapter 4 A characterization of groupdivisible designs and some related results
31
Chapter 5 On permutation cliques
41
Chapter 6 Some properties of perfect matroid designs
57
Chapter 7 A combinatorial interpretation of the Seidel generation of Genocchi numbers
77
Chapter 8 A survey of problems in combinatorial number theory
89
Chapter 17 Partitioning of the minimum essential set construction problem
219
Chapter 18 Optimal design theory in relation to combinatorial design
225
Chapter 19 The asymptotic number of lattices
243
Chapter 20 A new statistics on words
251
Chapter 21 Some results on the existence of squares
257
Chapter 22 Intersection graphs of kuniform hypergraphs
275
Chapter 23 On some enumeration problems in graph theory
281
Chapter 24 Some remarks on amicable orthogonal designs
289

Chapter 9 Residuallycomplete graphs
117
Chapter 10 A combinatorial proof of Jacobis identity
125
Chapter 11 From Nim to Go
137
Chapter 12 Configurations in a plane of order ten
157
Chapter 13 Construction of optimal codes and optimal fractional factorial designs using linear programming
175
Chapter 14 Combinatorial topology and the trade off method in BIB designs
189
Chapter 15 Block designs with cyclic block structure
201
Chapter 16 On restricted bases for finite fields
215
Chapter 25 On the number of nonisomorphic designs in a repeated measurement experiment
293
Chapter 26 Intersection theorems on structures
301
Chapter 27 Enumeration and representation of nonisomorphic bipartite graphs
315
Chapter 28 Decompositions of rational convex polytopes
333
Chapter 29 Rotors in graph theory
343
Chapter 30 Embedding graphs in the planealgorithmic aspects
349
Chapter 31 Hyperclaw decomposition of complete hypergraphs
385
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About the author (2011)

Colorado State University, Fort Collins, USA

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