# The Geodetic Hull Number is Hard for Chordal Graphs

**Authors:** St\'ephane Bessy, Mitre C. Dourado, Lucia D. Penso, Dieter, Rautenbach

arXiv: 1704.02242 · 2017-04-10

## TL;DR

This paper proves that determining the geodetic hull number is computationally hard for chordal graphs, highlighting a significant complexity challenge in this graph class.

## Contribution

It establishes the NP-hardness of computing the geodetic hull number specifically for chordal graphs, a previously unresolved problem.

## Key findings

- Geodetic hull number is NP-hard for chordal graphs
- Complexity results impact algorithms for related graph problems
- Highlights difficulty in exact computation for this graph class

## Abstract

We show the hardness of the geodetic hull number for chordal graphs.

## Full text

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## Figures

2 figures with captions in the complete paper: https://tomesphere.com/paper/1704.02242/full.md

## References

9 references — full list in the complete paper: https://tomesphere.com/paper/1704.02242/full.md

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Source: https://tomesphere.com/paper/1704.02242