Abstract
Let G be a connected graph and be its normalized Laplacian matrix. Let λ1 be the second smallest eigenvalue of and f be its corresponding harmonic eigenfunction. In this article we investigate the properties of the harmonic eigenfunction f on blocks of G. Next we use this result to characterize the effect on the second smallest normalized Laplacian eigenvalue by grafting edges.
Sign-in/Register to access full text options 
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.
