Falcón Ganfornina, Raúl ManuelFalcón Ganfornina, Óscar JesúsNúñez Valdés, Juan2020-01-162020-01-162019Falcón Ganfornina, R.M., Falcón Ganfornina, Ó.J. y Núñez Valdés, J. (2019). An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics. Mathematics, 7 (11), 1068-1-1068-11.2227-7390https://hdl.handle.net/11441/91726Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process. We identify any such pattern with a total-colored graph so that any isotopism of the former is uniquely related to an isomorphism of the latter. This enables us to develop some results on graph theory in the context of the molecular processes that occur during the S-phase of a mitotic cell cycle. In particular, each monochromatic subset of edges is identified with a mutation or regulatory mechanism that relates any two statuses of the genotypes of a pair of chromatids.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Evolution theoryEvolution algebraMitotic cell cycleTotal-colored graphinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.3390/math7111068