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The bigraphical t‐wise balanced designs of index 1
Author(s) -
Hoffman Dean G.,
Kreher Donald L.
Publication year - 1994
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180020107
Subject(s) - mathematics , automorphism , combinatorics , bipartite graph , automorphism group , index (typography) , graph , set (abstract data type) , point (geometry) , discrete mathematics , geometry , world wide web , computer science , programming language
The t ‐wise balanced designs of index 1 whose point set are the edges of K m,n , the complete bipartite graph, and that have the subgroup of all automorphisms that fix the two independent sets of K m,n as an automorphism group are studied. All such designs are found. © 1994 John Wiley & Sons, Inc.