Veza između Somborskog i Ojlerovog indeksa

Ključne reči: stepen (čvora), Somborski indeks, Ojler-somborski indeks

Sažetak


Uvod/cilj: Ojler-somborski indeks je nova, na stepenima čvorova zasnovana grafovska invarijanta, dobijena geometrijskim razmatranjima. Srodan je Somborskom indeksu. U radu su utvrđene matematičke veze između ove dve grafovske invarijante. 

Metode: Primenjena je kombinatorna teorija grafova.  

Rezultati: Određene su gornje i donje granice za  Somborski indeks u zavisnosti od Ojler-somborskog indeksa, i obratno. Ove granice su zatim poboljšane, uzimajući u obzir strukturne karakteristike grafova.

Zaključak: Rad doprinosti teoriji grafovskih invarijanti somborskog tipa.

Biografija autora

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

Reference

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Objavljeno
2024/03/05
Rubrika
Originalni naučni radovi