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graphs, matrices, and designs

Book

graphs, matrices, and designs

DOI link for graphs, matrices, and designs

graphs, matrices, and designs book

Festschrift in Honor of Norman J. Pullman

graphs, matrices, and designs

DOI link for graphs, matrices, and designs

graphs, matrices, and designs book

Festschrift in Honor of Norman J. Pullman
Edited ByRolf S. Rees
Edition 1st Edition
First Published 1993
eBook Published 25 October 2017
Pub. Location Boca Raton
Imprint Routledge
DOI https://doi.org/10.1201/9780203719916
Pages 344
eBook ISBN 9780203719916
Subjects Mathematics & Statistics
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Rees, R.S. (Ed.). (1993). graphs, matrices, and designs: Festschrift in Honor of Norman J. Pullman (1st ed.). CRC Press. https://doi.org/10.1201/9780203719916

ABSTRACT

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.

TABLE OF CONTENTS

chapter 1|18 pages

Around a Formula for the Rank of a Matrix Product with Some Statistical Applications

ByJerzy K. Baksalary, George P. H. Styan

chapter 2|12 pages

Linear Operators Preserving Partition Numbers of Graphs

ByLeRoy B. Beasley

chapter 3|12 pages

Faithful Enclosing of Triple Systems: A Generalization of Stern’s Theorem

ByDavid C. Bigelow, Charles J. Colbourn

chapter 4|8 pages

Completion of the Spectrum of Orthogonal Diagonal Latin Squares

ByJohn Wesley Brown, Fred Cherry, Lee Most, Mel Most, E.T. Parker, W.D. Wallis

chapter 5|22 pages

Deficiencies and Vertex Clique Covering Numbers of Cubic Graphs

ByL. Caccetta, Purwanto

chapter 6|12 pages

Extremal Problems for the Bondy-Chvátal Closure of a Graph

ByLane Clark, Roger Entringer, Paul Erdös, Huicheng Sun, László Székely

chapter 7|8 pages

The 3-Hypergrphical Steiner Quadruple Systems of Order Twenty

ByD. de Caen, D. L. Kreher

chapter 8|28 pages

Minimum Biclique Partitions of the Complete Multigraph and Related Designs

ByD. de Caen, D.A. Gregory, D. Prltikin

chapter 9|12 pages

Multiplicativity of Generalized Permanents over Semirings

ByB.C. deGopi

chapter 10|14 pages

A Few More Room Frames

ByJ.H. Dinitz, D.R. Stinson

chapter 11|24 pages

Pairwise Balanced Designs with Block Sizes 5t + 1

ByS.C. Furino, S.A. Vanstone

chapter 12|34 pages

Pairwise Balanced Designs with Holes

ByAlan Hartman, Katherine Heinrich

chapter 13|8 pages

The Sum Number of Complete Bipartite Graphs

ByNora Hartsfield, W. F. Smyth

chapter 14|12 pages

Biclique Covers and Partitions of Unipathic Digraphs

ByKim A. S. Hefner, J. Richard Lundgren, John S. Maybee

chapter 15|12 pages

Maximal Partial Latin Squares

ByPeter Horák, Alexander Rosa

chapter 16|18 pages

Longest Cycles in 3-Connected Graphs of Bounded Maximum Degree

ByBill Jackson, Nicholas C. Wormald

chapter 17|14 pages

Construction of New Hadamard Matrices with Maximal Excess and Infinitely Many New SBIBD (4/c2, 2k 2 +k,k 2 +k)

ByChristos Koukouvinos, Jennifer Seberry

chapter 18|10 pages

Maximum Order Digraphs for Diameter 2 or Degree 2

ByMirk A Miller, Ivan Friš

chapter 19|16 pages

Minimal Clique Partitions of Norm Three II

ByRolf S. Rees

chapter 20|4 pages

The Cycle Space of an Embedded Graph III

ByR. Bruce Richter

chapter 21|16 pages

Psuedo-One-Factorizations of Regular Graphs of Odd Order I: Some General Questions

ByGuo-Hui Zhang
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