The harmonic index H (G) of a graph G is∑ uv∈ E (G) 2 d (u)+ d (v), where d (v) is the
degree of v∈ V (G). We show that H (L (T))> n 4 for any tree T of order n≥ 3, which confirm …

Topological indices are mathematical descriptors used in the field of chemistry to
characterize the topological structure of chemical compounds. The Randić index (R), the …

The generalized Randic index of a graph G with vertex set V (G) and edge set E (G), is
defined as χα (G)=∑ uv∈ E (G)(d (u) d (v)) α, where α is an arbitrary real number, and d (u) …

O and Shi proved that the Randi\'c index of any graph $ G $ with minimum degree at least
$\delta $ and maximum degree at most $\Delta $ is at least $\frac {\sqrt …

We investigate how the inverse degree index of graphs depends on their cyclomatic
number. In particular, we provide sharp lower bounds on the inverse degree index over all …

Suppose G is a simple graph with edge set E (G). The Randić index R (G) is defined as
RG=∑ uv∈ EG 1/deg G u deg G v, where degG (u) and degG (v) denote the vertex degrees …

Suppose $ G $ is a simple graph with edge set $ E (G) $. The Randi\'{c} index $ R (G) $ is
defined as $ R (G)=\sum_ {uv\in E (G)}\frac {1}{\sqrt {deg_ {G}(u) deg_ {G}(v)}} $, where …

The harmonic index\(H (G)\) of a graph\(G\) is defined as the sum of the weights\(\frac {2}{d_
{u}+ d_ {v}}\) of all edges\(uv\) of\(G\), where\(d_ {u}\) denotes the degree of a vertex\(u\) …