Abstract
Which graphs admit an integer valued harmonic function which is injective and surjective onto Z? Such a function, which we call harmonic labeling, is constructed when the graph is the lattice Zd. It is shown that for any finite graph G containing at least one edge, there is no harmonic labeling of G×Z. Further discussion and open problems are presented.
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 callDisclaimer: 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.
