Naslov
Automated conjecturing of Frobenius numbers via grammatical evolution

Autori
Adžaga, Nikola

Izvornik
Experimental mathematics (1058-6458) 26 (2017), 2; 247-252

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
automated conjecturing ; Frobenius number ; grammatical evolution

Sažetak
Conjecturing formulas and other symbolic relations occurs frequently in number theory and combinatorics. If we could automate conjecturing, we could benefit not only from faster conjecturing but also from finding conjectures previously out of our grasp. Grammatical evolution, a genetic programming technique, can be used for automated conjecturing in mathematics. Concretely, this work describes how one can interpret the Frobenius problem as a symbolic regression problem, and then apply grammatical evolution to it. In this manner, a few formulas for Frobenius numbers of specific quadruples were found automatically. The sketch of the proof of one conjectured formula, using lattice point enumeration method, is provided as well. The same method can easily be used on other problems to speed up and enhance the research process.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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