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The existence of disjoint (hooked) near‐Rosa sequences and applications
Author(s) -
Austin Beth A.,
Shalaby Nabil
Publication year - 2020
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.21710
Subject(s) - disjoint sets , mathematics , combinatorics , simple (philosophy) , discrete mathematics , epistemology , philosophy
We show that the necessary conditions are sufficient for the existence of two disjoint near (hooked) Rosa sequences, with all admissible orders n ≥ 6 and all possible defects. Further, we apply this result for the existence of new types of cyclic and simple GDDs.