This question is from my discrete structures class Consider a graph with the following edges: {a,b}...
This question is from my discrete structures class
Consider a graph with the following edges:
{a,b} {a,d} {a,e}
{a,h} {a,j} {b,c}
{b,g} {c,d} {c,e}
{c,h} {d,f} {e,g}
{f,g}: {f,i} {g,h}
{h,i} {i,j}
Provide a valid coloring of the nodes in the above graph that
uses as few colors as you believe possible.
Homework Answers
Add Answer to:
This question is from my discrete structures
class
Consider a graph with the following edges:
{a,b}...
Discrete Math: Please help with all parts of question 5. I have included problem 3 to...
Discrete Math: Please help with all parts of question
5. I have included problem 3 to help answer part (a) but
I only need help with question 5!
5.
3.
(a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
X) (4 points) If k is a positive integer, a k-coloring of a graph G is an assignment of one of k ...
COMP Discrete Structures: Please answer completely and
clearly.
(3).
(5).
x) (4 points) If k is a positive integer, a k-coloring of a graph G is an assignment of one of k possible colors to each of the vertices/edges of G so that adjacent vertices/edges have different colors. Draw pictures of each of the following (a) A 4-coloring of the edges of the Petersen graph. (b) A 3-coloring of the vertices of the Petersen graph. (e) A 2-coloring (d) A...
1) Suppose that a directed graph contains the following edges. Find the strongly connected components. {(h,...
1) Suppose that a directed graph contains the following edges. Find the strongly connected components. {(h, i), (i, j), (j, k), (k, h), (l, m), (m, n), (n, p), (p, l), (f, i), (c, e), (j, b), (k, l), (a, b), (b, c), (c, a), (d, e), (e, f), (f, g), (g, d)}. a) How many vertices are there in the component having the smallest number of vertices? b) How many vertices are there in the component having the second...
Hi, I need help on my assignment for my discrete structures class. Thank you, and I...
Hi, I need help on my assignment for my discrete structures
class. Thank you, and I will remember to rate your answer!
5. Consider the set of 3-digit integers between 100 and 999 inclusive. a. How many are divisible by 5? b. How many are divisible by 4? C. How many are not divisible by 5? d. How many are divisible by 4 or 5? e. How many are divisible by 4 and 5? f. How many are divisible by...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,W(a,f) 9,W(a,d) 10 W(b,e) 12,W(b,d) 7,W(c,d) 3 a) Draw the graph including weights. b) Given the following algorithm for Inding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) with nodes (V) and no edges Add all the edges (E) to a set S and order them...
Explain ur working 4. [6 marks] Using the following graph representation (G(VE,w)): V a, b,c, d,e, fh E -la, b, [a, fl,la,d, (b,ej, [b,d, c,fl,fc,d],Id,el, sd, f) W(a, b) 4, W(a, f)-9, W(a, d)-10 W(b...
Explain ur working
4. [6 marks] Using the following graph representation (G(VE,w)): V a, b,c, d,e, fh E -la, b, [a, fl,la,d, (b,ej, [b,d, c,fl,fc,d],Id,el, sd, f) W(a, b) 4, W(a, f)-9, W(a, d)-10 W(b, e) 12, W (b, d)7, W(c,d) 3 a) [3 marks] Draw the graph including weights. b) [2 + 1-3 marks] Given the following algorithm for finding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) vith nodes (V)...
Hi, I could use some help for this problem for my discrete math class. Thanks! 18. Consider the graph G = (V, E) with vertex set V = {a, b, c, d, e, f, g} and edge set E = {ab, ac, af, bg, ca, ce) (h...
Hi, I could use some help for this problem for my discrete math
class. Thanks!
18. Consider the graph G = (V, E) with vertex set V = {a, b, c, d, e, f, g} and edge set E = {ab, ac, af, bg, ca, ce) (here we're using some shorthand notation where, for instance, ab is an edge between a and b). (a) (G1) Draw a representation of G. (b) (G2) Is G isomorphic to the graph H -(W,F)...
1. a) Consider the following graphs.Indicate which are trees and which are not If a graph...
1. a) Consider the following graphs.Indicate which are trees and which are not If a graph is mta tre explain why not. (3 points, I each a) TREE Not a Tree b) TREE Not a Tree ) TREE Not a Tree If not, why not? a) c) b) Suppose the following leters are inserted into a binary search tree in theonder given 4 points, I point cach J. R, D, G, W, E, M, H, P, A, F, Q i...
(8 points) Consider the graph shown below. If the graph is orientable, the orient the edges...
(8 points) Consider the graph shown below. If the graph is orientable, the orient the edges so that the resulting digraph is strongly connected. If it is not orientable, then briefly explain why. A E D F B H с
Network Structures 1. The length of a path in a simple graph is the number of...
Network Structures
1. The length of a path in a simple graph is the number
of edges on it. The distance between two nodes of a simple
graph is the length of the shortest path connecting them. The
diameter of a graph is the maximum distance between a pair
of nodes. Let 1 , . . . ,
be all the nodes
of a graph G, and let distG(, ) be the
distance between and in this graph
G. Then...
Discrete Math: Please help with all parts of question
5. I have included problem 3 to help answer part (a) but
I only need help with question 5!
5.
3.
(a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
COMP Discrete Structures: Please answer completely and
clearly.
(3).
(5).
x) (4 points) If k is a positive integer, a k-coloring of a graph G is an assignment of one of k possible colors to each of the vertices/edges of G so that adjacent vertices/edges have different colors. Draw pictures of each of the following (a) A 4-coloring of the edges of the Petersen graph. (b) A 3-coloring of the vertices of the Petersen graph. (e) A 2-coloring (d) A...
Hi, I need help on my assignment for my discrete structures
class. Thank you, and I will remember to rate your answer!
5. Consider the set of 3-digit integers between 100 and 999 inclusive. a. How many are divisible by 5? b. How many are divisible by 4? C. How many are not divisible by 5? d. How many are divisible by 4 or 5? e. How many are divisible by 4 and 5? f. How many are divisible by...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,W(a,f) 9,W(a,d) 10 W(b,e) 12,W(b,d) 7,W(c,d) 3 a) Draw the graph including weights. b) Given the following algorithm for Inding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) with nodes (V) and no edges Add all the edges (E) to a set S and order them...
Explain ur working
4. [6 marks] Using the following graph representation (G(VE,w)): V a, b,c, d,e, fh E -la, b, [a, fl,la,d, (b,ej, [b,d, c,fl,fc,d],Id,el, sd, f) W(a, b) 4, W(a, f)-9, W(a, d)-10 W(b, e) 12, W (b, d)7, W(c,d) 3 a) [3 marks] Draw the graph including weights. b) [2 + 1-3 marks] Given the following algorithm for finding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) vith nodes (V)...
Hi, I could use some help for this problem for my discrete math
class. Thanks!
18. Consider the graph G = (V, E) with vertex set V = {a, b, c, d, e, f, g} and edge set E = {ab, ac, af, bg, ca, ce) (here we're using some shorthand notation where, for instance, ab is an edge between a and b). (a) (G1) Draw a representation of G. (b) (G2) Is G isomorphic to the graph H -(W,F)...
1. a) Consider the following graphs.Indicate which are trees and which are not If a graph is mta tre explain why not. (3 points, I each a) TREE Not a Tree b) TREE Not a Tree ) TREE Not a Tree If not, why not? a) c) b) Suppose the following leters are inserted into a binary search tree in theonder given 4 points, I point cach J. R, D, G, W, E, M, H, P, A, F, Q i...
(8 points) Consider the graph shown below. If the graph is orientable, the orient the edges so that the resulting digraph is strongly connected. If it is not orientable, then briefly explain why. A E D F B H с
Network Structures
1. The length of a path in a simple graph is the number
of edges on it. The distance between two nodes of a simple
graph is the length of the shortest path connecting them. The
diameter of a graph is the maximum distance between a pair
of nodes. Let 1 , . . . ,
be all the nodes
of a graph G, and let distG(, ) be the
distance between and in this graph
G. Then...
Most questions answered within 3 hours.
-
Rice Company has a unit selling price of $690, variable costs
per unit of $390, and...
asked 16 minutes ago -
The DeVille Company reported pretax accounting
income on its income statement as follows:
2018
$
425,000...
asked 31 minutes ago -
Argue for or against the "Three Strikes"laws. Provide a rationale
to support your response.
asked 1 hour ago -
Bargaining Models: what is the "Obsolescing Bargain"?
Bargaining Models: what are the factors that would tend...
asked 2 hours ago -
1. A ball is thrown up into the air.
a) Draw motion diagram and the point-like...
asked 2 hours ago -
1) Because money eliminates the "double coincidence of wants"
problem, the development of money as a...
asked 3 hours ago -
Company AAA produces only one product which other manufacturers
purchase as a component for their final...
asked 5 hours ago -
An
item can be appended to an array-based list, provided the lenght is
less than the...
asked 5 hours ago -
Two particles each have a rest mass energy of 30 MeV and are
traveling with a...
asked 7 hours ago -
why
is vectorization a faster alternative to loops?
asked 8 hours ago -
General Matter’s outstanding bond issue has a coupon rate of
11.8%, and it sells at a...
asked 8 hours ago -
Write a one page essay on how important is it to know your basic
accounting knowledge...
asked 8 hours ago