Base graph-connection graph: dissection and construction
Potočnik, Primož, 1971- ; Verret, Gabriel ; Wilson, Steve, matematik
V članku je predstavljen pojav, ki ga včasih opazimo pri štirivalentnih dvodelnih lokalno ločno-tranzitivnih grafih, imenovan "disekcija bazni graf - graf povezav". Pri tej disekciji vsako belo ...vozlišče grafa porodi dve vozlišči valence 2, dobljene komponente za povezanost pa so med seboj izomorfne. Za dani bazični graf, katerega subdivizija je izomorfna kakšni od teh komponent, in graf povezav, ki opiše, kako se komponente med seboj prekrivajo, lahko pod določenimi pogoji rekonstruiramo originalni graf. Članek razišče ta pojav tako v splošnem kot tudi v posebnem primeru, ko ima graf povezav zgolj eno povezavo.
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