Nuciferičen graf je enostaven graf z nesingularno ▫$0-1$▫ matriko sosednosti ▫$A$▫, takšno da so vsi diagonalni elementi matrike ▫$A^{-1}$▫ enaki nič in vsi izvendiagonalni elementi matrike ...▫$A^{-1}$▫ različni od nič. Sciriha in dr. so postavili domnevo, da razen ▫$K_2$▫ ni nobenih drugih nuciferičnih grafov. V članku ovržemo to domnevo. Še več, domnevamo, da obstaja neskončno mnogo nuciferičnih Cayleyjevih grafov.
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