Irreducible triangulations of the M\"obius band
Mar\'ia-Jos\'e Ch\'avez (1), Serge Lawrencenko (2), Antonio Quintero, (3), and Mar\'ia Trinidad Villar (3) ((1) Departamento de Matem\'atica, Aplicada I, Universidad de Sevilla, Spain, (2) Russian State University of, Tourism, Service, Lyubertsy, Moscow Region, Russia

TL;DR
This paper provides a comprehensive enumeration of all irreducible triangulations on the M"obius band, advancing the understanding of its topological and combinatorial properties.
Contribution
It presents the first complete list of irreducible triangulations specifically for the M"obius band, filling a gap in topological graph theory.
Findings
Complete list of irreducible triangulations on the M"obius band
New insights into the topological structure of the M"obius band
Foundation for further topological and combinatorial studies
Abstract
A complete list of irreducible triangulations is identified on the M\"obius band.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematics and Applications · Digital Image Processing Techniques
