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Table 1 Overview about the implemented topological network descriptors

From: Structural Measures for Network Biology Using QuACN

Name

Symbol

R function

Ref.

Descriptors based on distances

Skorobogatov indices

D i (G)

dobrynin(g)

[37]

Wiener index

W(G)

wiener(g)

[36]

Hararay index

H(G)

harary(g)

[53]

Balaban J index

J(G)

balabanJ(g)

[54]

Compactness

C(G)

compactness(g)

[55]

Product of row sums index

PRS(G)

productOfRowSums(g)

[56]

Hyper-distance-path index

D P (G)

hyperDistancePathIndex(g)

[24]

Descriptors based on other invariants

Index of total adjacency

A(G)

totalAdjacency(g)

[39]

Zagreb group indices 1

Z1(G)

zagreb1(g)

[38]

Zagreb group indices 2

Z2(G)

zagreb2(g)

[38]

Randić index

R(G)

randic(g)

[57]

The complexity index B

B(G)

complexityIndexB(g)

[39]

Normalized edge complexity

E N (G)

normalizedEdgeComplexity(g)

[39]

Classical entropy-based descriptors

Topological information content

I o r b V ( G )

topologicalInfoContent(g)

[14, 21]

Bonchev-Trinajstić index 1

I D (G)

bonchev1(g)

[42]

Bonchev-Trinajstić index 2

I D W ( G )

bonchev2(g)

[42]

BERTZ complexity index

C(G)

bertz(g)

[58]

Radial centric info index

I C,R (G)

radialCentric(g)

[20]

Vertex degree equality-based ii.

I deg (G)

vertexDegree(g)

[20]

Balaban-like information index U

U (G)

balabanlike1(g)

[40]

Balaban-like information index X

X (G)

balabanlike2(g)

[40]

Graph vertex complexity index

I V (G)

graphVertexComplexity(g)

[59]

Dehmer entropy with information functionals using

the j-spheres

I f V ( G )

infoTheoreticGCM(g,infofunct="sphere")

[43]

path lengths

I f P ( G )

infoTheoreticGCM(g,infofunct="pathlength")

[43]

vertex centrality

I f C ( G )

infoTheoreticGCM(g,infofunct="vertcent")

[43]

degree-degree associations

I f Δ ( G )

infoTheoreticGCM(g,infofunct="degree")

[49]

  1. This table gives an overview about the implemented topological network descriptor including the function name in QuACN and the reference to the corresponding publication.