On colour-preserving automorphisms of Cayley graphs
Hujdurović, Ademir, 1987- ...
Študiramo avtomorfizme Cayleyjevega grafa, ki ohranjajo njegovo naravno barvanje povezav. Natančneje, zanimajo nas takšne grupe ▫$G$▫, pri katerih ima vsak tak avtomorfizem vsakega povezanega ...Cayleyjevega grafa na grupi ▫$G$▫ zelo enostavno obliko: je kompozitum leve translacije in avtomorfizma grupe. Najdemo razrede grup, ki imajo to lastnost, in določimo rede vseh grup, ki nimajo te lastnosti. Imamo tudi analogne rezultate za avtomorfizme, ki barv ne ohranjajo, ampak jih permutirajo.
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