Cycle construction and geodesic cycles with application to the hypercube
Kainen, Paul C.
Raziskujemo konstrukcijo ciklov v grafu, pri čemer se cikli iz posebnih podmnožic (kot so npr. baze) seštevajo tako, da je vsaka delna vsota tudi cikel ali pa vsak nov cikel seka vsoto prejšnjih ...členov v netrivialni poti. Izhajajoč iz geodetskih ciklov postavimo hierarhično konstrukcijo. Za graf hiperkocke karakteriziramo geodetske cikle in pokažemo, kako jih lahko konstruiramo v dveh korakih iz posebne baze. Ena od uporab: komutativnost diagrama v grupoidu sledi iz komutativnosti nekaterih od njegovih ciklov.
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