Frames and Resolvable Designs: Uses, Constructions and Existence

By Steven Furino, Miao Furino, Steven, and Jianxing, Yin, and Ying, Steven Miao Furino

Frames, together with a modified fundamental construction, provide a powerful recursive mechanism for constructing resolvable balanced incomplete block designs (BIBDs). Frames and Resolvable Designs: Uses, Constructions and Existence presents a unique study of frames and their application to this construction. Chapter 1 sets the stage by describing the games combinatorialists play. It introduces basic combinatorial structures and construction techniques. Chapter 2 discusses frames extensively and includes comprehensive lists of direct and recursive constructions. Chapter 3 provides known classes of RBIBD constructions. Chapter 4 deals with existence results and demonstrates the utility of the frame approach. Chapter 5 is a series of informative tables useful for researchers. No other book tackles this demanding topic from these varied perspectives. Multi-faceted and written for easy access by different users, Frames and Resolvable Designs: Uses, Constructions and Existence is the right choice for students, as a text in advanced design theory; for researchers, as a resource complement to standard encyclopedic works; and for mathematicians and statisticians in this field, as a working handbook.

• Format: Hardcover
• Language: English
• ISBN: 0849339847
• ISBN13: 9780849339844
• Release Date: August 1996
• Publisher: CRC Press
• Length: 256 Pages
• Weight: 1.22 lbs.
• Dimensions: 0.7" x 6.5" x 9.6"