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Partitioning 3‐arcs into Steiner Triple Systems
Author(s) -
Caliskan Cafer
Publication year - 2017
Publication title -
journal of combinatorial designs
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.21559
Subject(s) - steiner system , disjoint sets , combinatorics , mathematics , order (exchange) , pairwise comparison , set (abstract data type) , projective plane , steiner tree problem , plane (geometry) , discrete mathematics , computer science , geometry , statistics , correlation , finance , economics , programming language
Abstract In this article, it is shown that there is a partitioning of the set of 3‐arcs in a projective plane of order three into nine pairwise disjoint Steiner triple systems of order 13.