TY - JOUR
T1 - Bounds for symmetric division deg index of graphs
AU - Das, Kinkar Ch
AU - Matejić, Marjan
AU - Milovanović, Emina
AU - Milovanović, Igor
N1 - Publisher Copyright:
© 2019, University of Nis. All rights reserved.
PY - 2019
Y1 - 2019
N2 - Let G = (V, E) be a simple connected graph of order n (≥ 2) and size m, where V(G) = {1, 2,…, n}. Also let ∆ = d1 ≥ d2 ≥ · · · ≥ dn = δ > 0, di = d(i), be a sequence of its vertex degrees with maximum degree ∆ and minimum degree δ. The symmetric division deg index, SDD, was defined in [D. Vukičević, Bond additive modeling 2. Mathematical properties of max-min rodeg index, Croat. Chem. Acta 83 (2010) 261– d2i+d2j 273] as SDD = SDD(G) = (Formula presented), where i ~ j means that vertices i and j are adjacent. In this paper di dj we give some new bounds for this topological index. Moreover, we present a relation between topological indices of graph.
AB - Let G = (V, E) be a simple connected graph of order n (≥ 2) and size m, where V(G) = {1, 2,…, n}. Also let ∆ = d1 ≥ d2 ≥ · · · ≥ dn = δ > 0, di = d(i), be a sequence of its vertex degrees with maximum degree ∆ and minimum degree δ. The symmetric division deg index, SDD, was defined in [D. Vukičević, Bond additive modeling 2. Mathematical properties of max-min rodeg index, Croat. Chem. Acta 83 (2010) 261– d2i+d2j 273] as SDD = SDD(G) = (Formula presented), where i ~ j means that vertices i and j are adjacent. In this paper di dj we give some new bounds for this topological index. Moreover, we present a relation between topological indices of graph.
KW - Multiplicative Zagreb indices
KW - Symmetric division deg index
KW - Zagreb indices
UR - https://www.scopus.com/pages/publications/85077850354
U2 - 10.2298/FIL1903683D
DO - 10.2298/FIL1903683D
M3 - Article
AN - SCOPUS:85077850354
SN - 0354-5180
VL - 33
SP - 683
EP - 698
JO - Filomat
JF - Filomat
IS - 3
ER -