# Loss of transmission on directed networks due to link deletion

## TL;DR

This paper examines how link deletion impacts transmission success and timing in directed networks, highlighting the importance of strongly connected components and average path length, and proposing strategies to mitigate transmission loss.

## Contribution

It introduces a detailed analysis of transmission failure due to link deletion in directed networks and offers remedial strategies to enhance transmission resilience.

## Key findings

- Transmission success correlates with the size of the strongly connected component.
- Average transmission time depends on the average path length within the SCC.
- Remedial strategies can improve transmission during link failures.

## Abstract

We investigate the effects of link deletion on a 1 - to - 1 transmission process occurring on various models of directed networks and characterize them in terms of the fraction of successful transmissions and average transmission time. We make intuitive arguments and numerically show that the probability of successful transmission depends, on an average, on the fractional size of the Strongly Connected Component (SCC) and the average transmission time depends on the Average Path Length (APL) of the SCC. In the context of a specific road-network, we study the roles of various process parameters. Finally, we provide remedial strategies to improve transmission during link deletion in such networks.