Frames and Resolvable Designs: Uses, Constructions and Existence

Author:   Steven Furino ,  Kenneth H. Rosen (Monmouth University, Middletown, New Jersey, USA) ,  Miao Ying (Hiroshima University) ,  Yin Jianxing (Suzhou University)
Publisher:   Taylor & Francis Inc
Volume:   3
ISBN:  

9780849339844


Pages:   256
Publication Date:   10 June 1996
Format:   Hardback
Availability:   Out of stock   Availability explained


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Frames and Resolvable Designs: Uses, Constructions and Existence


Overview

This study presents frames and their application for the construction of resolvable balanced incomplete block designs. The text contains explicit results, including complete proofs and examples, as well as summaries of known existence results with references. Topics include basic combinational structures and construction techniques, direct and recursive constructions, and RBIBD constructions. This book also provides complete tables, a catalog of constructions, and an extensive bilbliography.

Full Product Details

Author:   Steven Furino ,  Kenneth H. Rosen (Monmouth University, Middletown, New Jersey, USA) ,  Miao Ying (Hiroshima University) ,  Yin Jianxing (Suzhou University)
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Volume:   3
Dimensions:   Width: 15.60cm , Height: 1.90cm , Length: 23.40cm
Weight:   0.453kg
ISBN:  

9780849339844


ISBN 10:   0849339847
Pages:   256
Publication Date:   10 June 1996
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Out of stock   Availability explained

Table of Contents

Introduction The Rules The Games Latin Squares Group Divisible Designs Experimental Designs Problems Projects Frame Constructions Definitions Necessary Conditions Frames and Other Types of Designs Recursive Constructions Near Resolvable Designs Some Direct Constructions Problems Projects Constructions for Resolvable Designs Constructions Using Finite Geometries Constructions Using Differences Constructions Using Frames Constructions Using RGDDs Constructions Using Color Classes Constructions Using SOLSSOMs A Few More Constructions Problems Projects Existence Results Known Results An Approach For Asymptotic Results New Results, k = 5 New Results, k = 6 New Results, k = 7 New Results, k = 8 Tables Near Resolvable Designs Resolvable BIBDs, 10 = v = 100 Resolvable BIBDs, 101 = v = 200 References Table of Symbols Index

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Author Information

Furino\, Steven; Ying\, Miao; Jianxing\, Yin

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