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Graphs, Matrices, and Designs : Lecture Notes in Pure and Applied Mathematics - Rees

Graphs, Matrices, and Designs

Lecture Notes in Pure and Applied Mathematics

By: Rees

Paperback

Published: 1st September 1992
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Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal graph theory, Hadamard matrices and graph factorizations. This book is designed to be of interest to applied mathematicians, computer scientists and communications researchers.

Preface
Contributors
Norman J. Pullman's Publications to April 1992
Around a Formula for the Rank of a Matrix Product with Some Statistical Applicationsp. 1
Linear Operators Preserving Partition Numbers of Graphsp. 19
Faithful Enclosing of Triple Systems: A Generalization of Stern's Theoremp. 31
Completion of the Spectrum of Orthogonal Diagonal Latin Squaresp. 43
Deficiencies and Vertex Clique Covering Numbers of Cubic Graphsp. 51
Extremal Problems for the Bondy-Chvatal Closure of a Graphp. 73
The 3-Hypergraphical Steiner Quadruple Systems of Order Twentyp. 85
Minimum Biclique Partitions of the Complete Multigraph and Related Designsp. 93
Multiplicativity of Generalized Permanents over Semiringsp. 121
A Few More Room Framesp. 133
Pairwise Balanced Designs with Block Sizes 5t + 1p. 147
Pairwise Balanced Designs with Holesp. 171
The Sum Number of Complete Bipartite Graphsp. 205
Biclique Covers and Partitions of Unipathic Digraphsp. 213
Maximal Partial Latin Squaresp. 225
Longest Cycles in 3-Connected Graphs of Bounded Maximum Degreep. 237
Construction of New Hadamard Matrices with Maximal Excess and Infinitely Many New SBIBD (4k[superscript 2], 2k[superscript 2]+k, k[superscript 2]+k)p. 255
Maximum Order Digraphs for Diameter 2 or Degree 2p. 269
Minimal Clique Partitions of Norm Three IIp. 279
The Cycle Space of an Embedded Graph IIIp. 295
Pseudo-One-Factorizations of Regular Graphs of Odd Order I: Some General Questionsp. 299
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780824787905
ISBN-10: 0824787900
Series: Lecture Notes in Pure and Applied Mathematics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 344
Published: 1st September 1992
Publisher: CRC PR INC
Country of Publication: US
Dimensions (cm): 25.15 x 17.73  x 1.58
Weight (kg): 0.6
Edition Number: 1