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13.
Plane graphs with Eulerian Petrie walks
Žitnik, Arjana
Petriejev sprehod po grafu na ploskvi je sprehod, vzdolž katerega izmenično zavijamo levo in desno. Podamo karakterizacijo 4-valentnih grafov v ravnini z Eulerjevim Petriejevim obhodom in iz nje ...izpeljemo enostaven algoritem za konstrukcijo takšnih grafov. Algoritem potem uporabimo pri reševanju problema obstoja 4-valentnih grafov v ravnini, ki imajo Eulerjev Petriejev obhod in lica predpisanih dolžin.
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