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Square-edge graphs, partial cubes and their subclasses
Klavžar, Sandi ; Škrekovski, Riste ; Vesel, Aleksander
Povezava grafa je kvadratna, če leži v natanko enem 4-ciklu. Graf je graf kvadratnih povezav, če vsebuje zaporedje kvadratnih povezav, z odstranitvijo katerih dobimo vpeto drevo grafa. Medianski ...grafi brez 3-kocke so karakterizirani kot grafi kvadratnih povezav brez podgrafa ▫$Q_3^-$▫. Med gradi kvadratnih povezav sovpadata razreda delnih kock in semi-medianskih grafov. Predstavljen je tudi algoritem zahtevnosti ▫$O(a(G)|E(G)|)$▫, ki prepoznava grafe kvadratnih povezav.
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