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2009
Springer
13 years 9 months ago
Finding Balanced Incomplete Block Designs with Metaheuristics
This paper deals with the generation of balanced incomplete block designs (BIBD), a hard constrained combinatorial problem with multiple applications. This problem is here formulat...
David Rodríguez Rueda, Carlos Cotta, Antoni...
ARSCOM
2006
140views more  ARSCOM 2006»
13 years 4 months ago
Expansion Properties Of Levi Graphs
ABSTRACT. The Levi graph of a balanced incomplete block design is the bipartite graph whose vertices are the points and blocks of the design, with each block adjacent to those poin...
Dominic Lanphier, C. Miller, Jason Rosenhouse, A. ...
DM
2002
155views more  DM 2002»
13 years 4 months ago
Balanced nested designs and balanced arrays
Balanced nested designs are closely related to other combinatorial structures such as balanced arrays and balanced n-ary designs. In particular, the existence of symmetric balance...
Ryoh Fuji-Hara, Sanpei Kageyama, Shinya Kuriki, Yi...
DCC
2005
IEEE
14 years 3 months ago
Double Arrays, Triple Arrays and Balanced Grids
Triple arrays are a class of designs introduced by Agrawal in 1966 for two-way elimination of heterogeneity in experiments. In this paper we investigate their existence and their ...
John P. McSorley, Nicholas C. K. Phillips, Walter ...
EJC
2008
13 years 4 months ago
Some existence and construction results of polygonal designs
This paper revisits the existence and construction problems for polygonal designs (a special class of partially balanced incomplete block designs associated with regular polygons)...
Gargi Bhattacharyya, John Hegeman, Joohyung Kim, J...