Naslov (eng)

Randić degree-based energy of graphs

Autor

Milovanović, Igor
Zogić, Emir
Borovićanin, Bojana
Milovanović,, Emina

Opis (eng)

Abstract: Let G = (V, E), V = {1, 2, . . . , n}, be a simple graph of order n and size m, without isolated vertices. Denote by ∆ = d1 ≥ d2 ≥ • • • ≥ dn = d > 0, di = d(i), a sequence of its vertex degrees. If vertices i and j are adjacent, we write i ∼ j. With TI we denote a topological index that can be represented as T I = T I(G) = ∑▒〖F(di,d j),〗 where F is an appropriately chosen function with the property F(x, y) = F(y, x). Randić degree–based adjacency matrix RA = (ri j) is defined as rij = F(di,d j )/didj if i ∼ j, and 0 otherwise. Denote by fi, i = 1, 2, . . . , n, the eigenvalues of RA. The Randić degree-based energy of graph could be defined as RE_TI=RE_TI(G)= ∑▒〖| fi|.〗 Upper and lower bounds for RET I are obtained.

Jezik

engleski

Datum

2018

Licenca

© All rights reserved

Predmet

Keywords: Topological indices, vertex degree, Randi ́c degree-based energy (of graph)

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