Question

Prove the following(please write neatly and explain): The Cayley graph Γ(G, S) is connected if and...

Prove the following(please write neatly and explain):

The Cayley graph Γ(G, S) is connected if and only if S generates G

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Here is the proof

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Graph G is a connected planar graph with 1 face. If G is finite, prove that...
Graph G is a connected planar graph with 1 face. If G is finite, prove that there is a vertex with degree 1.
Prove that if G is a graph in which any two nodes are connected by a...
Prove that if G is a graph in which any two nodes are connected by a unique path, then G is a tree.
Prove that if G is a connected graph with exactly 4 vertices of odd degree, there...
Prove that if G is a connected graph with exactly 4 vertices of odd degree, there exist two trails in G such that each edge is in exactly one trail. Find a graph with 4 vertices of odd degree that’s not connected for which this isn’t true.
Let G be a simple graph with n(G) > 2. Prove that G is 2-connected iff...
Let G be a simple graph with n(G) > 2. Prove that G is 2-connected iff for every set of 3 distinct vertices, a, b and c, there is an a,c-path that contains b.
Let G=(V,E) be a connected graph with |V|≥2 Prove that ∀e∈E the graph G∖e=(V,E∖{e}) is disconnected,...
Let G=(V,E) be a connected graph with |V|≥2 Prove that ∀e∈E the graph G∖e=(V,E∖{e}) is disconnected, then G is a tree.
Prove that if k is odd and G is a k-regular (k − 1)-edge-connected graph, then...
Prove that if k is odd and G is a k-regular (k − 1)-edge-connected graph, then G has a perfect matching.
Prove or disapprove each of the following: (a) Every disconnected graph has an isolated vertex. (b)...
Prove or disapprove each of the following: (a) Every disconnected graph has an isolated vertex. (b) A graph is connected if and only if some vertex is connected to all other vertices. (c) If G is a simple, connected, Eulerian graph, with edges e, f that are incident to a common vertex, then G has an Eulerian circuit in which e and f appear consequently.
let G be a connected graph such that the graph formed by removing vertex x from...
let G be a connected graph such that the graph formed by removing vertex x from G is disconnected for all but exactly 2 vertices of G. Prove that G must be a path.
Graph Theory Let v be a vertex of a non trivial graph G. prove that if...
Graph Theory Let v be a vertex of a non trivial graph G. prove that if G is connected, then v has a neighbor in every component of G-v.
A tree is a connected graph that contains no cycles. Prove that any tree with two...
A tree is a connected graph that contains no cycles. Prove that any tree with two or more vertices has chromatic number 2. Hi there! Please WRITE LEGIBLY and with clear steps. A lot of times I get confused by the solutions. Thank you!
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT