Cayley graphs and endomorphism monoids
Keywords:
algebraic graph theory, monoid graphs, semigroup theoryAbstract
El tema principal del treball és l’estudi de diverses famílies especials de grafs simples com a grafs de Cayley de monoides i semigrups (és a dir, que es poden obtenir a partir de grafs de Cayley traient-ne els arcs múltiples, les direccions i els loops), tot seguint la línia d’algunes preguntes presents al paper On monoid graphs de K. Knauer i G. Puig i Surroca. A nivell estructural, el projecte intenta arribar a aquestes preguntes de manera natural, progressant des de propietats bàsiques sobre grafs i semigrups a alguns petits resultats originals.
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