Title

PARTITIONING THE BLOCKS OF A STEINER TRIPLE SYSTEM INTO PARTIAL PARALLEL CLASSES

Author

Jezerca Hodaj, Michigan Technological University

Date of Award

2014

Document Type

Master's report

Degree Name

Master of Science in Mathematical Sciences (MS)

College, School or Department Name

Department of Mathematical Sciences

Advisor

Melissa Keranen

Abstract

Does there exist a Steiner Triple System on v points, whose blocks can be partitioned into partial parallel classes of size m, where m ≤ [^v⁄₃], m | b and b is the number of blocks of the STS(v)? We give the answer for 9 ≤ v ≤ 43. We also show that whenever 2|b, v ≡ 3 (mod 6) we can find an STS(v) whose blocks can be partitioned into partial parallel classes of size 2, and whenever 4|b , v ≡ 3 (mod 6), there exists an STS(v) whose blocks can be partitioned into partial parallel classes of size 4.

Recommended Citation

Hodaj, Jezerca, "PARTITIONING THE BLOCKS OF A STEINER TRIPLE SYSTEM INTO PARTIAL PARALLEL CLASSES", Master's report, Michigan Technological University, 2014.

https://doi.org/10.37099/mtu.dc.etds/813