Abstract

We show that for every infinite collection R $\mathcal {R}$ of disjoint equivalent rays in a graph G there is a subdivision of the hexagonal half-grid in G such that all its vertical rays belong to R $\mathcal {R}$ . This result strengthens Halin's grid theorem by giving control over which specific set of rays is used, while its proof is significantly shorter.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.