Abstract

Graph G is H-saturated if H is not a subgraph of G and H is a subgraph of G+e for any edge e not in G. The saturation number for a graph H is the minimal number of edges in any H-saturated graph of order n. In this paper, the saturation number for Kp∪(t−1)Kq (t⩾3 and 2⩽p<q) is determined, and the extremal graph for Kp∪2Kq is determined. Moreover, the saturation number and the extremal graph for Kp∪Kq∪Kr (r⩾p+q) are completely determined.

Full Text
Paper version not known

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 call

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.