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On trees, tanglegrams, and tangled chains [Elektronski vir]
Billey, Sara C. ; Konvalinka, Matjaž ; Matsen, Frederick A., IV
Prepletogrami so razred grafov, ki izvirajo iz teoretičnega računalništva in bioloških raziskav na področju kospeciacije in koevolucije. Nastanejo z identifikacijo listov dveh dvojiških dreves s ...korenom. Vložitev dreves v ravnino pri tem ni pomembna. Podamo eksplicitno formulo za število različnih dvojiških prepletogramov s korenom in n prirejenimi listi, zraven pa še preprosto asimptotsko formulo in algoritem za generiranje naključnih prepletogramov. Preštevalno formulo razširimo na preštevanje prepletenih verig dvojiških dreves poljubne dolžine. Rezultat tako da novo formulo za število dvojiških dreves z ▫$n$▫ listi. Predstavimo še nekaj odprtih problemov in domnev ter povezav na povezane članke, ki so se pojavile od objave prvega osnutka tega članka.
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