Mathematics Homework Solutions
#7428
Connectedness
Let G be a graph of order n such that deg(v)>=(n-1)/2. Prove that G is connected.
This is a proof regarding connectedness.
What is this?
By OTA - Overall OTA Rating
Changping Wang, MA - 4.9/5
Purchase Cost Now
$2.19 CAD
Included in Download
- Plain text response
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- N-connected graph proof - Show that every n-connected graph has at least pn/2 edges.
- Prove that in any graph... - Prove that in any graph with two or more vertices, there must be two vertices of the same degree.
- Show that every k-connected graph contains every tree of order k+1 as a subgraph. - Show that every k-connected graph contains every tree of order k+1 as a subgraph. Can you explain it step by step and draw a graph.
- Graph Theory : Connected Graphs and Disconnected Graphs - 1- (a) Let G a graph of order n such that deg v for every . Prove that G is connected. (b) Examine the sharpness of the bound in (a). 2- Prove the every graph G has a path of length .( min ...
- Self-complementary graph - 1.10 Let G be a self-complementary graph of order n, where n=1(mod 4) Prove that G contains at least one vertex of degree (n-1)/2 (hint: Prove the stronger result that G contains an odd number of ve ...
