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CMMSE: Combinatorial structures and finite-dimensional alternative algebras
  • Manuel Ceballos
Manuel Ceballos
University of Seville

Corresponding Author:[email protected]

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In this paper, the link between combinatorial structures and alternative algebras is studied, determining which configurations are associated with those algebras. Moreover, the isomorphism classes of each 2-dimensional configuration associated with these algebras is analyzed, providing a new method to classify them. In order to complement the theoretical study, two algorithmic methods are implemented: the first one constructs and draws the (pseudo)digraph associated with a given alternative algebra and the second one tests if a given combinatorial structure is associated with some alternative algebra.
09 Sep 2021Submitted to Mathematical Methods in the Applied Sciences
10 Sep 2021Submission Checks Completed
10 Sep 2021Assigned to Editor
29 Sep 2021Reviewer(s) Assigned
05 Jan 2022Review(s) Completed, Editorial Evaluation Pending
12 Jan 2022Editorial Decision: Revise Major
27 Jan 20221st Revision Received
28 Jan 2022Submission Checks Completed
28 Jan 2022Assigned to Editor
07 Feb 2022Reviewer(s) Assigned
07 Mar 2022Review(s) Completed, Editorial Evaluation Pending
09 Mar 2022Editorial Decision: Accept