Classifying discrete objects with orbiter-Reference-Cited by-同舟云学术

Classifying discrete objects with orbiter

Published:2014-01-28 Issue:3/4 Volume:47 Page:183-186
ISSN:1932-2240
Container-title:ACM Communications in Computer Algebra
language:en
Short-container-title:ACM Commun. Comput. Algebra

Author:

Betten Anton

Abstract

Orbiter is a software package to classify discrete objects such as designs, graphs, codes, and objects from finite geometry. It employs the method of breaking the symmetry to attack difficult problem instances by means of subobjects that serve as a stepping stone. The algorithms combine techniques from Group Theory and from Combinatorics. Orbiter is a library of C++ functions that provide functionality for Discrete Mathematics. In order to be applied to a specific problem, code has to be written taylored to the specific application.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/2576802.2576832

Reference17 articles.

1. John Bamberg Anton Betten Cheryl Praeger and Alfred Wassermann. Unitals in the Desarguesian Projective Plane of Order Sixteen. To appear in Journal of Statistical Planning and Inference. John Bamberg Anton Betten Cheryl Praeger and Alfred Wassermann. Unitals in the Desarguesian Projective Plane of Order Sixteen. To appear in Journal of Statistical Planning and Inference.

2. Anton Betten. The Packings of PG(3 3). Submitted to Journal of Combinatorial Designs. Anton Betten. The Packings of PG(3 3). Submitted to Journal of Combinatorial Designs.

3. Rainbow cliques and the classification of small BLT-sets

4. Lecture Notes in Comput;Brown Cynthia A.,1988

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