Abstract
For two graphs G1 and G2. Let B be a set of non-zero binary 2-tuples, i.e. B⊆{0,1}2∖{(0,0)}. The NEPS (non-complete extended p-sum) of graphs G1,G2 with basis B is denoted by NEPS(G1,G2;B). Let G1[G2] be the lexicographic product of G1 and G2. In this paper, we determine the spectra of the graph G0◼k1NEPS(G1,G2;B) and G0◼k1G1[G2] with regular graphs G0, G2 and an arbitrary graph G1 in terms of their spectra. As applications, the results on spectra enable us to construct some new cospectral graphs and integral spectrum graphs.
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.
