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. 2022 Dec 1;23(23):15057. doi: 10.3390/ijms232315057

Table 1.

Descriptors used.

Symbol Name Definition Reference
N Molecular size Number of non-hydrogen atoms. [68]
Vk
k = 3, 4
Vertices of degree k Number of atoms having k bonds, σ or π, to non-hydrogen atoms. [68]
R Ramification Number of single structural branches. [68]
W Wiener path number Sum of the distances between any two atoms in terms of bonds. [100]
L Length Maximal distance between atoms in terms of bonds. [68]
PRk
k = 0–3
Pairs of ramifications at distance k Number of pairs of single branches at distance k in terms of bonds. [68]
kχt
k = 0–4
t = p, c, pc
Randić-like indices of order k and type path (p), cluster (c) and path-cluster (pc) χ kt=j=1n kt(iSjδi)12
δi, number of bonds, σ or π, of the atom i to non-hydrogen atoms.
Sj, jth sub-structure of order k and type t.
[71,81,82]
kχtv
k = 0–4
t = p, c, pc
Kier-Hall indices of order k and type path (p), cluster (c) and path-cluster (pc) χ ktV=j=1n kt(iSjδiV)12
δiv, Kier-Hall valence of the atom i.
Sj,jth sub-structure of order k and type t.
[71,81,82]
Gk
k = 1–5
Topological charge indices of order k Gk=i=1N1j=i+1N|MijMji|δ(k,Dij)
M=AQ, product of the adjacency and inverse squared distance matrices for the hydrogen-depleted molecular graph.
D, distance matrix.
δ, Kronecker delta.
[68,101]
Gkv
k = 1–5
Valence topological charge indices of order k GkV=i=1N1j=i+1N|MijVMjiV|δ(k,Dij)
MV=AVQ, product of the electronegativity-modified adjacency and inverse squared distance matrices for the hydrogen-depleted molecular graph.
D, distance matrix.
δ, Kronecker delta.
[68,101]
Jk
k = 1–5
Pondered topological charge indices of order k Jk=GkN1 [68,101]
Jkv
k = 1–5
Pondered valence topological charge indices of order k JkV=GkVN1 [68,101]
kDt
k = 0–4
t = p, c, pc
Connectivity differences of order k and type path (p), cluster (c) and path-cluster (pc) D kt=χ ktχ ktV [68]
Ek
k = 1–5
Topological charge differences of order k Ek=GkVGk [102]
Fk
k = 1–5
Pondered topological charge differences of order k Fk=JkVJk [102]
kCt
k = 0–4
t = p, c, pc
Connectivity quotients of order k and type path (p), cluster (c) and path-cluster (pc) C kt=χ ktχ ktV [68]
kQt
k = 0–4
t = p, c, pc
Inverse connectivity quotients of order k and type path (p), cluster (c) and path-cluster (pc) Q kt=χ ktVχ kt [102]
CGk
k = 1–5
Topological charge quotients of order k CGk=GkGkV [102]
QGk
k = 1–5
Inverse topological charge quotients of order k QGk=GkVGk [102]