On the extension of a partial solution of d spreads to a parallelism

Authors

Keywords:

Projective space, parallelism, automorphism, parallel algorithm

Abstract

A parallel algorithm for enumeration of parallelisms invariant under a predefined automorphism group is proposed. It is a parallelization of the sequential exhausted backtrack search algorithm used in [20]. The algorithm is implemented using MPI and the C++ language. It is applied for the construction of some of the parallelisms of PG(3, 4) possessing an automorphism group of order 2.

Author Biography

Stela Zhelezova, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

Stela Zhelezova
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
p.o.box 323, 5000 Veliko Tarnovo, Bulgaria
e-mail: stela@math.bas.bg

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Published

2020-04-07

How to Cite

[1]
Zhelezova, S. 2020. On the extension of a partial solution of d spreads to a parallelism. Mathematics and Education in Mathematics. 49, (Apr. 2020), 173–177.

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Section

Section B: Mathematical Modelling and Informatics