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Remarks about the Moebius-Kantor graph

Announce Type: cross Abstract: The Moebius-Kantor graph MK=G(8,3) is a Cayley graph of three non-abelian groups, the Pauli group P(1), the semi-dihedral group SD(16), as well as the dihedral group D(16) of order 16. In topological graph theory, it illustrates the Heawood number 7 of the torus and leads to the Tucker group Aut(MK), the unique group of genus 2. We compute the Lefschetz numbers to illustrate the Brouwer-Lefschetz fixed point theorem.

arXiv CS 9d ago

Two Genomes, One Metabolome: Mitonuclear Incompatibility Remodels Developmental Metabolism and Fitness in Drosophila

Mitochondrial-nuclear (hereafter mitonuclear) genetic variation can alter cellular bioenergetics and metabolism via jointly encoding the subunits of oxidative phosphorylation (OXPHOS) system. Here we tested whether genetic variation in biochemical and bioenergetic phenotype can scale up across higher levels of biological organization to affect organismal development. We used a panel of (mtDNA); nDNA genotypes created by asymmetric substitution of divergent mtDNA between Drosophila...

bioRxiv 8d ago