- Mathematics
- Published 2004

# The Covariance of Topological Indices that Depend on the Degree of a Vertex

@inproceedings{Hollas2004TheCO, title={The Covariance of Topological Indices that Depend on the Degree of a Vertex}, author={Boris Hollas}, year={2004} }

We consider topological indices I that are sums of f(deg(u)) f(deg(v)), where {u,v} are adjacent vertices and f is a function. The Randi{\'c} connectivity index or the Zagreb group index are examples for indices of this kind. In earlier work on topological indices that are sums of independent random variables, we identified the correlation between I and the edge set of the molecular graph as the main cause for correlated indices. We prove a necessary and sufficient condition for I having zero… CONTINUE READING

#### Citations

##### Publications citing this paper.

SHOWING 1-6 OF 6 CITATIONS

## Degree distance and Gutman index of increasing trees

VIEW 5 EXCERPTS

CITES BACKGROUND

HIGHLY INFLUENCED

## On the extremal graphs with respect to bond incident degree indices

VIEW 1 EXCERPT

CITES BACKGROUND

## Comment on “Topological Indices Study of Molecular Structure in Anticancer Drugs”

VIEW 1 EXCERPT

CITES BACKGROUND

#### References

##### Publications referenced by this paper.

SHOWING 1-6 OF 6 REFERENCES

## Correlations in distance-based descriptors

VIEW 2 EXCERPTS

## Correlation properties of the autocorrelation descriptor for molecules

VIEW 2 EXCERPTS

## Modern Graph Theory

VIEW 1 EXCERPT

## Topological indices: Inter-relations and composition

VIEW 1 EXCERPT