An application of persistent homology and the graph theory to linguistics: The case of Tifinagh and Phoenician scripts

Bouazzaoui Hajar (), Elomary Mohamed Abdou () and Mamouni My Ismail ()
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Bouazzaoui Hajar: Hassan I University, Department of Mathematics and Computer Science FST de Settat, IMII Laboratory. Address: Km 3, B.P.: 577, Route de Casablanca, Morocco .
Elomary Mohamed Abdou: Hassan I University, Department of Mathematics and Computer Science FST de Settat, IMII Laboratory. Address: Km 3, B.P.: 577, Route de Casablanca, Morocco .
Mamouni My Ismail: Department of Mathematics, Research Team of Mathematics, Didactic and its Applications (M@DA), CRMEF RABAT, Avenue Allal Al Fassi, Madinat Al Irfane, 10000, Rabat, Morocco .

Statistics in Transition New Series, 2021, vol. 22, issue 3, 141-156

Abstract: As the origin of the Tifinagh script remains uncertain, this work aims at exploring its probable relatedness with the Phoenician script. Using tools from within topological data analysis and graph theory, the similarity between the two scripts is studied. The clustering of their letter shapes is performed based on the pairwise distances between their topological signatures. The ideas presented in this work can be extended to study the similarity between any two writing systems and as such can serve as the first step for linguists to determine the possibly related scripts before conducting further analysis.

Keywords: topological data analysis; persistent homology; graph theory; writing systems; Abjad scripts; Alphabet scripts; Tifinagh script; Phoenician script. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:stintr:v:22:y:2021:i:3:p:141-156:n:2

DOI: 10.21307/stattrans-2021-031

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