Abstract
A graph G is called a 1-planar graph if G has a drawing in the plane, so that each of its edges is crossed at most once. In this paper, we prove that λ1(G)≤5+2n+5 for a 1-planar graph G of order n≥7. For n≥6.23×1018, we characterize the unique extremal graph with the maximum spectral radius among all 1-planar graphs of order n.
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.
