Kubični dvodelni grafi z ožino vsaj 6 ustrezajo simetričnim kombinatoričnim ▫$(v_3)$▫ konfiguracijam. Leta 1887 je V. Martinetti opisal preprost postopek, s katerim lahko skonstruiramo vse ...kombinatorične ▫$(v_3)$▫ konfiguracije iz množice tako imenovanih ireducibilnih konfiguracij. Rezultat je bil od objave večkrat citiran, tako v zvezi s konfiguracijami, kot v zvezi z grafi. Toda izkaže se, da seznam ireducibilnih konfiguracij, ki ga je podal Martinetti, ni popoln. V članku so opisane vse ireducibilne konfiguracije in pripadajoči incidenčni grafi, vključno s tistimi, ki v Martinettijevem seznamu manjkajo.
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