The distinguishing index of connected graphs without pendant edges
Imrich, Wilfried ...
Obravnavamo barvanja povezav, ne nujno pravilna. Razlikovalni indeks ▫$D'(G)$▫ grafa ▫$G$▫ je najmanjše število barv v barvanju povezav, ki ga ohranja samo identični avtomorfizem. Znano je, da je ...▫$D'(G) \le \Delta$▫ za vsak števen, povezan graf ▫$G$▫ s končno maksimalno stopnjo ▫$\Delta$▫ razen za tri majhne cikle. Dokažemo, da je ▫$D'(G) \le \lceil\sqrt{\Delta}\rceil+1$▫ ob dodatnem pogoju, da graf ▫$G$▫ nima visečih povezav.
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