Question

can I please have the answer for  19 

Let Gbe a simple graph with at least 11l vertices, and let G be its complement.
(i) Prove that Gand Ğ cannot both be planar.
(In fact, a similar result holds if 11 is replaced by 9, though this is difficult to prove.)
(ii) Find a graph G with eight vertices for which Gand Ğ are both planar.
4.19
Expand
Transcribed Image Text

Let Gbe a simple graph with at least 11l vertices, and let G be its complement. (i) Prove that Gand Ğ cannot both be planar. (In fact, a similar result holds if 11 is replaced by 9, though this is difficult to prove.) (ii) Find a graph G with eight vertices for which Gand Ğ are both planar. 4.19

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Graph Theory

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: Q7

A: Click to see the answer

Q: Solve the following first-order differential equations by the indicated method.

A: I have applied Bernoulli  then it converted to Linear Differential equation then I solved it.

Q: A picture frame company is willing to supply æ items for a price, in dollars, of p(x) = 2x + 208, wh...

A: Market equilibrium point:   The point when supply and demand curves intersect.   The supply and dema...

Q: 1 4 6 8) 10 a. Construct the adjacency matrix. Why is it a block-diagonal matrix? b. Construct the a...

A: Click to see the answer

Q: pleae help for 16 and 17 please

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: A collection of nickels, dimes, and quarters consist of 13 coins with a total of $1.50. If the numbe...

A: Click to see the answer

Q: How many subgroups are there in D4? Also find them.

A: D4 has 8 elements:. {1, r, r2, r3, d1, d2, b1, b2,}. where r is the rotation on 90◦, d1, d2 are flip...

Q: Diff equation

A: Given equation

Q: Advanced Math Question

A: From the given table, it is observed that the speed is increasing continuously. So, the lower estima...

Q: 4. Classify the following as an ellipse, hyperbola, or parabola and sketch a graph like we have done...

A: a)The equation is, (9x2-36x)+(4y2-24y)=-36

Q: Show your all calculation

A: The domain of a function is the possible set of input values where the function is defined.

Q: Is the set Z a group under the operation a * b = a – b + ab? Justify your answer.

A: Check the associative property. Take a = 2, b = 3 and c =4. (a*b)*c = (2*3)*4              = (2-3+6)...

Q: A graphing calculator is recommended. Solve the given equation or inequality graphically. State your...

A: Click to see the answer

Q: 7. Find the solutions to the following difference equations and study their stability both analytica...

A: Given: The difference equation:

Q: 6. Consider the operation a * b = a + b² on the set S = Z. a) Is this operation commutative? Justify...

A: Click to see the answer

Q: Match the following differential equations with the method for solving them.   a)Bernoulli b) Sep...

A: Click to see the answer

Q: 2 2 9- 1) Consider the integral | | rdz dr d0 . Sketch the region of integration and express the vol...

A: Click to see the answer

Q: As of 2020, the population of Riverdale is 37,910 people. The Drew football field is 120 yds. x 54 y...

A: According to the given information, it is required to determine whether the entire population of Riv...

Q: For each planet in the solar system, its year is the time it takes the planet to revolve around the ...

A: Click to see the answer

Q: Calculate for the following data: a) Spline interpolation by grade two and three b) Quadratic spline...

A: Click to see the answer

Q: Show your all calculation

A: The domain of a function is the possible set of input values where the function is defined.

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the equation...

A: Click to see the answer

Q: Fine the general solution by both the Integrating Factor and Separation of Variables methods 1. xy' ...

A: Click to see the answer

Q: 2. 2xy lim (x.y)-(0,0) x² + 2y6

A: Click to see the answer

Q: A collection of nickels, dimes, and quarters consist of 13 coins with a total of $1.50. If the numbe...

A: Click to see the answer

Q: 4. Consider the boundary value problem P/ - 4ry +6y = r", y (1) -/ (1) = 0, y (3) 0. (a) Find two di...

A: Click to see the answer

Q: x2 Use the residues to evaluate the improper integral: dx . (x² + 1)(x² + 4)

A: The given improper integral is written as:  

Q: problem 3

A: Problem 3   Consider the given dynamic equation,  

Q: Given the data in the table below, develop cubic splines for these data (for all intervals), and pre...

A: Consider the provided question, Use the divided difference (Numerical Method) Method:

Q: The marketing department of Mystic Backpacks found that an average of 170 backpacks are sold weekly ...

A: According to the given information it is required to find an algebraic expression for n(x). Where n(...

Q: Using areas in plane geometry, evaluate the definite integrals (6) x-2)ax

A: Click to see the answer

Q: 2. Find the solution set to the following system of linear equations using Gauss-Jordan elimination....

A: The given equations are,

Q: Need help with #4

A: Click to see the answer