If G ⊖ e is still 4-connected, then e is called a removable edge of G. In this paper, we investigate the problem on how many removable edges there are in a ...
People also ask
What will be the number of edges in a complete graph consisting of 4 nodes?
What if an edge is removed from a connected graph?
How do you find the edges of a cycle in a graph?
How many edges must be removed from a connected graph?
δ(G) ≥ 5 or g(G) ≥ 4. Then any edge of G is removable or contractible. For removable edges on a longest cycle in a 4-connected graph, we get the following ...
If G⊖e is 4-connected, then e is called a removable edge of G. In this paper we obtain some results on removable edges in a longest cycle of a 4-connected graph ...
Let G be a 5-connected graph. For an edge e of G, we do the following operations on G: first, delete the edge e from G, resulting the graph G−e; second, ...
(5) We study how many removable edges there are in a spanning tree of a 4-connected graph and how many removable edges exist outside a cycle of a 4-connected ...
We prove that any cyclically 4-edge-connected cubic graphG with at least 12 vertices has at least 1/5(|E(G)| + 12) removable edges.
Sep 2, 2009 · We also show that for a 4-connected graph $G$ of minimum degree at least 5 or girth at least 4, any edge of $G$ is removable or contractible. (3) ...
If G⊖ e is 4-connected, then e is called a removable edge of G. In this paper we obtain some results on removable edges in a longest cycle of a 4-connected ...
Let G be a 4-connected graph. We call an edge e of G removable if the following sequence of operations results in a 4-connected graph: Delete e from G; ...
Let G be a 4-connected graph. For an edge e of G, we do the following operations on G: first, delete the edge e from G, resulting in the graph G - e; ...