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5‐chromatic steiner triple systems
Author(s) -
Fugère Jean,
Haddad Lucien,
Wehlau David
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.3180020503
Subject(s) - mathematics , chromatic scale , hyperplane , combinatorics , automorphism , construct (python library) , set (abstract data type) , discrete mathematics , computer science , programming language
We show that, up to an automorphism, there is a unique independent set in PG(5,2) that meets every hyperplane in 4 points or more. Using this result, we show that PG(5,2) is a 5‐chromatic STS. Moreover, we construct a 5‐chromatic STS( v ) for every admissible v ≥ 127. © 1994 John Wiley & Sons, Inc.