Abstract
A subgraph H of a 3-connected finite graph G is called contractible if H is connected and G−V(H) is 2-connected. This work is concerned with a conjecture of McCuaig and Ota which states that for any given k there exists an f(k) such that any 3-connected graph on at least f(k) vertices possesses a contractible subgraph on k vertices. We prove this for k⩽4 and consider restrictions to maximal planar graphs, Halin graphs, line graphs of 6-edge-connected graphs, 5-connected graphs of bounded degree, and AT-free graphs.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
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
