CDRG-grafove smo uveli kao novu klasu grafova u radu „Konstrukcije dvostruko regularnih grafova―koji je objavljen u Zborniku radova Filozofskog fakulteta Univerziteta u Zenici 2019. godine. U tom radu je pokazano da posmatrana klasa grafova nije prazna. Ovdje dajemo, po uzoru na kvazi jako regularne grafove ([1]), neke potrebne uslove koje nenegativni cijeli brojevi moraju zadovoljavati ukoliko su oni parametri nekog CDRG-grafa.
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