Question

If G is a simple graph then G* , the complement of G is the simple...

If G is a simple graph then G*
, the complement of G is the simple graph defined to be as
follows, V(G*) = V(G), and the vertices u and v in G* are connected if and only if they are
not connected in G. If G is a graph with V(G) = {v1, v2, v3, v4}, E(G) = {e1, e2, e3, e4} suchthat the endpoints of e1 are {v1, v2}, the endpoints of e2 are {v1, v4}, the endpoints of e3 are
{v4, v2}and the endpoints of e4 are {v1, v3}. Draw G*.

Homework Answers

Answer #1

if you are not satisfied with this answer please don't thumb down. Thanks

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let S = { e1, e2, e3, e4 } be the standard basis for R4 ,...
Let S = { e1, e2, e3, e4 } be the standard basis for R4 , and let B = { v1, v2, v3, v4, } be the basis with vi = T(ei ), where T ( x1, x2, x3, x4 ) = (x2, x3, x4, x1 ). Find the transition matrices P B to S and P S to B.
30. a) Show if G is a connected planar simple graph with v vertices and e...
30. a) Show if G is a connected planar simple graph with v vertices and e edges with v ≥ 3 then e ≤ 3v−6. b) Further show if G has no circuits of length 3 then e ≤ 2v−4.
Three concentric spherical conductive shells of radii 5 cm, 10 cm, and 15 cm are charged...
Three concentric spherical conductive shells of radii 5 cm, 10 cm, and 15 cm are charged with 2 μC, 4 μC, and -6 μC, respectively. What is the electric field at r=2.5 cm, r=12 cm, and r=20 cm? E1= ________________ V/m E2= ________________ V/m E3= ________________ V/m What are the electric potentials at these points? V1=___________V V2=___________V V3=___________V
Let G = (V,E) be a graph with n vertices and e edges. Show that the...
Let G = (V,E) be a graph with n vertices and e edges. Show that the following statements are equivalent: 1. G is a tree 2. G is connected and n = e + 1 3. G has no cycles and n = e + 1 4. If u and v are vertices in G, then there exists a unique path connecting u and v.
Design an algorithm that for a given DAG G = (V, E) checks/recognizes if G is...
Design an algorithm that for a given DAG G = (V, E) checks/recognizes if G is semi-connected in time O(|V | + |E|). A directed graph G = (V, E) is called semi-connected if and only if for every two vertices u, v ∈ V there is a directed path from u to v or from v to u
A graph G is self-complementary if G is isomorphic to the complement of G. suppose G...
A graph G is self-complementary if G is isomorphic to the complement of G. suppose G is a self complementary graph with n vertices. How many edges must G have? Why?
I.15: If G is a simple graph with at least two vertices, prove that G has...
I.15: If G is a simple graph with at least two vertices, prove that G has two vertices of the same degree.    Hint: Let G have n vertices. What are possible different degree values? Different values if G is connected?
A spanning tree of connected graph G = (V, E) is an acyclic connected subgraph (V,...
A spanning tree of connected graph G = (V, E) is an acyclic connected subgraph (V, E0 ) with the same vertices as G. Show that every connected graph G = (V, E) contains a spanning tree. (It is the connected subgraph (V, E0 ) with the smallest number of edges.)
Graph Theory. A simple graph G with 7 vertices and 10 edges has the following properties:...
Graph Theory. A simple graph G with 7 vertices and 10 edges has the following properties: G has six vertices of degree a and one vertex of degree b. Find a and b, and draw the graph. Show all work.
Suppose we are going to color the vertices of a connected planar simple graph such that...
Suppose we are going to color the vertices of a connected planar simple graph such that no two adjacent vertices are with the same color. (a) Prove that if G is a connected planar simple graph, then G has a vertex of degree at most five. (b) Prove that every connected planar simple graph can be colored using six or fewer colors.