# Transmission of perfect trees and rooted powers of graphs

**Authors:** Nicol\'as Cianci

arXiv: 1907.00838 · 2019-07-02

## TL;DR

This paper provides exact formulas for calculating the total distance between all pairs of vertices in perfect trees and rooted powers of connected finite graphs, advancing understanding of graph transmission.

## Contribution

It introduces precise formulas for transmission in perfect trees and rooted powers, a novel contribution to graph distance analysis.

## Key findings

- Exact formulas for transmission in perfect trees
- Formulas for rooted powers of connected graphs
- Enhanced methods for graph distance computation

## Abstract

We give exact formulas for the transmission (i.e. the sum of all distances between vertices) of perfect trees and rooted powers of (connected finite) graphs.

## Full text

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## References

6 references — full list in the complete paper: https://tomesphere.com/paper/1907.00838/full.md

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Source: https://tomesphere.com/paper/1907.00838