Abstract
Let μ be an eigenvalue of the graph G with multiplicity k. A star complement for μ in G is an induced subgraph H=G−X such that |X|=k and μ is not an eigenvalue of G−X. Various graphs related to (generalized) line graphs or their complements are characterized by star complements corresponding to eigenvalues −2 or 1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.