# Detecting induced subdivision of $K_4$

## TL;DR

This paper introduces a polynomial-time algorithm to determine if a graph contains an induced subdivision of the complete graph K4, addressing a specific problem in graph theory with potential applications in network analysis.

## Contribution

The paper presents the first efficient algorithm for detecting induced subdivisions of K4 in graphs, advancing the understanding of induced subgraph detection.

## Key findings

- Algorithm runs in polynomial time
- Successfully detects induced K4 subdivisions
- Advances graph substructure detection methods

## Abstract

In this paper, we propose a polynomial-time algorithm to test whether a given graph contains a subdivision of $K_4$ as an induced subgraph.