# The g-Good-Neighbor Conditional Diagnosability of Locally Twisted Cubes

## TL;DR

This paper determines the g-good-neighbor conditional diagnosability of locally twisted cubes under two fault diagnosis models, enhancing understanding of fault tolerance in these network structures.

## Contribution

It establishes the g-good-neighbor conditional diagnosability for locally twisted cubes under PMC and MM* models, providing new insights into their fault diagnosis capabilities.

## Key findings

- Diagnosability under PMC model determined
- Diagnosability under MM* model established
- Enhanced understanding of fault tolerance in locally twisted cubes

## Abstract

In the work of Peng et al. in 2012, a new measure was proposed for fault diagnosis of systems: namely, g-good-neighbor conditional diagnosability, which requires that any fault-free vertex has at least g fault-free neighbors in the system. In this paper, we establish the g-good-neighbor conditional diagnosability of locally twisted cubes under the PMC model and the MM^* model.