Third geometric-arithmetic index

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Description

This method calculates the third geometric-arithmetic (GA3) index.

Usage

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Arguments

g

a graph as a graphNEL object.

dist

the distance matrix of g. Will be automatically calculated if not supplied.

Value

This method returns the third geometric-arithmetic index of a graph as a double-precision floating point value.

Author(s)

Lavanya Sivakumar, Michael Schutte

References

B. Zhou and I. Gutman and B. Furtula and Z. Du: On two types of geometric-arithmetic index. Chemical Physics Letters, 482:153-155, 2009

Examples

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library(graph)
set.seed(123)
g <- randomEGraph(as.character(1:9), 0.5)

# optional: pre-calculate distance matrix
mat.dist <- distanceMatrix(g)

geometricArithmetic3(g, mat.dist)

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