Relacije između energije grafa i energija zasnovanih na stepenima čvorova

Ključne reči: energija (grafa), invarijante zavisne od stepena čvorova, energije zavisne od stepena čvorova

Sažetak


Uvod/cilj: U radu su prikazane brojne, u literaturi postojeće, grafovske invarijante zavisne od stepena čvorova. Ovim invarijantama pridružuju se odgovarajuće matrice, preko kojih se izračunava energija kao zbir apsolutnih vrednosti sopstvenih vrednosti ovih matrica.

Rezultati: Određeni su uslovi pod kojima su ispitivane veće, odnosno manje energije od obične energije grafa (zasnovane na matrici susedstva).

Zaključak: Rad doprinosi teoriji grafovskih energija, kao i teoriji grafovskih invarijanti zavisnih od stepena čvorova.

Biografija autora

Ivan Gutman, Univerzitet u Kragujevcu, Prirodno-matematički fakultet, Kragujevac, Republika Srbija

Reference

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Objavljeno
2020/07/25
Rubrika
Originalni naučni radovi