Symmetry in Combinatorics and Geometry

Dear Colleagues,

     We are calling for papers on symmetry in geometry and combinatorics. In many fields of mathematics, the use of symmetry in the analysis of mathematical objects can lead to very powerful results. The central problems involve theconstruction, classification, recognition, and investigation of discrete geometry. Symmetry considerations play a key role, both for theoretical work and for practical computations. Mathematical software is essential to perform experiments. New and unexpected examples of objects can be found through computer searches. Vast computer searches can greatly enhance the range of what can be surveyed by hand. The computer classification of small cases paints a picture that approximates the general situation. For instance, examples found over small finite fields may generalize to infinite familes. Objects over finite fields may parallel objects that exist over infinite fields. This way, an exhaustive search over small finite fields can contribute to the study of examples in which an exhaustive search is impossible. This is a combinatorial version of Hasse’s localglobal principle in number theory. The construction of objects with an assumed symmetry is a fruitful alternative to exhaustive searching.

      A key element of the analysis is understanding the action of the automorphism group of the object. What are all the various ways in which groups can act on combinatorial objects? Representation theory of groups can help. Applications range from classical combinatorics to geometry, number theory, and algebra all the way to applications, for instance, in information theory, computer science, and physics and chemistry.

Prof. Anton Betten
Prof. Ivan Cheltsov
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• Group actions
• Geometry
• Combinatorics
• Mathematical software
• Symmetry
• Algorithms