# Results on resistance distance and Kirchhoff index of graphs with generalized pockets

## TL;DR

This paper derives explicit formulas for resistance distance and Kirchhoff index in graphs with generalized pockets, linking these measures to the properties of the factor graph, thus advancing graph analysis techniques.

## Contribution

It introduces closed-form formulas for resistance distance and Kirchhoff index in graphs with generalized pockets, connecting them to the factor graph's metrics.

## Key findings

- Formulas express resistance distance in terms of the factor graph.
- Formulas relate Kirchhoff index to the factor graph.
- Provides tools for analyzing complex graph structures.

## Abstract

In this paper, we derive closed-form formulas for resistance distance and Kirchhoff index of graphs with generalized pockets in terms of the resistance distance and Kirchhoff index of the factor graph.