Abstract
We design a O(n3 ) polynomial time algorithm for finding a (k -1)- regular subgraph in a k -regular graph without any induced star K 1,3 (claw-free). A polynomial time algorithm for finding a cubic subgraph in a 4-regular locally connected graph is also given. A family of k -regular graphs with an induced star K 1,3 (k even, k ≥ 6) , not containing any (k -1)-regular subgraph is also constructed.
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.