Part A: [5 pts] Show that CLIQUE-COVER ∈ NP NP Completeness Proof The CLIQUE-COVER problem is...
Part A: [5 pts] Show that CLIQUE-COVER ∈ NP
NP Completeness Proof The CLIQUE-COVER problem is defined as follows: Given a graph G, which has a number of cliques ci, c2, …, cm (m ≥ k), and a number k, the CLIQUE-COVER problem is the problem of determining whether all the nodes of the graph are covered by (i.e., contained in) at most k of the cliques of nodes. See Appendix 2 for an example of a graph with a Clique-Cover of size k = 2.
Part A: [5 pts] Show that CLIQUE-COVER ∈ NP
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Part A: [5 pts] Show that CLIQUE-COVER ∈ NP
NP Completeness Proof The CLIQUE-COVER problem is...
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there...
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there a truth assignment for the variables such that each clause has at least one true literal and at least one false literal? The NOT-ALL-EQUAL 3SAT problem is NP-complete. This question is about trying to reduce the NOT-ALL-EQUAL 3SAT problem to the MAX-CUT problem defined below to show the latter to be NP-complete. A cut in an undirected graph G=(V.E) is a partitioning of the...
Problem B. (3 pts) Show that V-5 is not a rational mumber (i.e, irrational number).
Problem B. (3 pts) Show that V-5 is not a rational mumber (i.e, irrational number).
Problem B. (3 pts) Show that V-5 is not a rational mumber (i.e, irrational number).
INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is...
INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is worth 5 pts. 1) Ch 12. Problem: The following data summarize the results from an independent measures study comparing three treatment conditions 356 - 12 10 G =0 M3 M4 M-8 T-12 T-16 T -12 55 5512 516 a. Use an ANOVA with a 05 to determine whether there are any significant differences among the three treatment means h...
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...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wa...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wavefunction labelled by the quantum number v, Where k is a constant related to the bond strength. V.(x), in the Schrödinger Equation, show that the wavefunction Ψ(x) = Noe- )' where α = ( corresponds to the ground vibrational state of H2 having...
You are managing a large scale construction project with hundreds of subprojects, some which have to...
You are managing a large scale construction project with hundreds of subprojects, some which have to be completed before others can begin whereas some subprojects can be carried out simultaneously. The project and its subprojects, and the presence of dependencies between subprojects (which subprojects have to be done before which), can be modeled as a connected unweighted directed graph with nodes representing subprojects and directed edges representing dependencies. 42. Which of the following algorithms will allow you to determine if...
ANSWER 5,6 & 7 please. Show work for my understanding and upvote. THANK YOU!! Problem 5....
ANSWER 5,6 & 7 please. Show work for my understanding and
upvote. THANK YOU!!
Problem 5. (3 pts) Let {x,n} be a bounded sequence of real numbers and let E = {xn : n E N}. Prove that lim inf,,0 In and lim inf, Yn are both in E. Hint: Use the sequential characterization of the closure, i.e., Proposition 3.2 from class. Problem 6. (3 pts) As usual let Q denote the set of all rational numbers. Prove that R....
Problem 3 (13 pts): (modified from Attaway Problem 3.39) a) (5 pts) Using the Matlab rand () func...
Problem 3 (13 pts): (modified from Attaway Problem 3.39) a) (5 pts) Using the Matlab rand () function, create a script that generates a row vector (1 row X 20 columns) of random numbers, each with magnitude between 0 and 5 b) (3 pts) Use the round() function to turn all of the values into whole numbers by rounding down (truncate the decimal part on your vector) c) (5 pts) Add code to your script to generate a new vector...
Problem 5. (20 pts) Let r,n N be two natural numbers with r < n. An...
Problem 5. (20 pts) Let r,n N be two natural numbers with r < n. An r x n matrix M consisting of r rows and n columns is said to be a Latin rectangle of size (r, n), if all the entries My belong to the set {1,2,3,..., n), for 1Si<T, 1Sj<T, and the same number does not appear twice in any row or in any column. By defini- tion, a Latin square is a Latin rectangle of size...
Part 4: Big Problem - 50 PTS TOTAL *** SHOW YOUR WORK ***Journal entries must be...
Part 4: Big Problem - 50 PTS TOTAL *** SHOW YOUR WORK ***Journal entries must be prepared in proper format. Your Excel file should be similar to the one we used to complete Ex 14-5. On January 1, 2020, Albany Company issued 8% bonds dated January 1, 2020, with a face amount of $10 million. The bonds mature January 1, 2030 (10 years). For bonds of similar risk and maturity, the market yield is 10%. Interest is paid semiannually on...
4. The NOT-ALL-EQUAL 3SAT problem is defined as follows: Given a 3-CNF formula F, is there a truth assignment for the variables such that each clause has at least one true literal and at least one false literal? The NOT-ALL-EQUAL 3SAT problem is NP-complete. This question is about trying to reduce the NOT-ALL-EQUAL 3SAT problem to the MAX-CUT problem defined below to show the latter to be NP-complete. A cut in an undirected graph G=(V.E) is a partitioning of the...
Problem B. (3 pts) Show that V-5 is not a rational mumber (i.e, irrational number).
Problem B. (3 pts) Show that V-5 is not a rational mumber (i.e, irrational number).
INSTRUCTIONS Complete the following problem covering ANOVA (Ch 12 Parish 15 pts, Part B is worth 5 pts, and Part is worth 5 pts. 1) Ch 12. Problem: The following data summarize the results from an independent measures study comparing three treatment conditions 356 - 12 10 G =0 M3 M4 M-8 T-12 T-16 T -12 55 5512 516 a. Use an ANOVA with a 05 to determine whether there are any significant differences among the three treatment means h...
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...
= μ = 0.5 This problem deals with the vibrational motion of the H2 molecule (reduced mass- amu). The Hamiltonian for this system is: h2 d 1, e2ndxī + 2kx2. 5 pts] By direct substitution of the wavefunction labelled by the quantum number v, Where k is a constant related to the bond strength. V.(x), in the Schrödinger Equation, show that the wavefunction Ψ(x) = Noe- )' where α = ( corresponds to the ground vibrational state of H2 having...
You are managing a large scale construction project with hundreds of subprojects, some which have to be completed before others can begin whereas some subprojects can be carried out simultaneously. The project and its subprojects, and the presence of dependencies between subprojects (which subprojects have to be done before which), can be modeled as a connected unweighted directed graph with nodes representing subprojects and directed edges representing dependencies. 42. Which of the following algorithms will allow you to determine if...
ANSWER 5,6 & 7 please. Show work for my understanding and
upvote. THANK YOU!!
Problem 5. (3 pts) Let {x,n} be a bounded sequence of real numbers and let E = {xn : n E N}. Prove that lim inf,,0 In and lim inf, Yn are both in E. Hint: Use the sequential characterization of the closure, i.e., Proposition 3.2 from class. Problem 6. (3 pts) As usual let Q denote the set of all rational numbers. Prove that R....
Problem 3 (13 pts): (modified from Attaway Problem 3.39) a) (5 pts) Using the Matlab rand () function, create a script that generates a row vector (1 row X 20 columns) of random numbers, each with magnitude between 0 and 5 b) (3 pts) Use the round() function to turn all of the values into whole numbers by rounding down (truncate the decimal part on your vector) c) (5 pts) Add code to your script to generate a new vector...
Problem 5. (20 pts) Let r,n N be two natural numbers with r < n. An r x n matrix M consisting of r rows and n columns is said to be a Latin rectangle of size (r, n), if all the entries My belong to the set {1,2,3,..., n), for 1Si<T, 1Sj<T, and the same number does not appear twice in any row or in any column. By defini- tion, a Latin square is a Latin rectangle of size...
Part 4: Big Problem - 50 PTS TOTAL *** SHOW YOUR WORK ***Journal entries must be prepared in proper format. Your Excel file should be similar to the one we used to complete Ex 14-5. On January 1, 2020, Albany Company issued 8% bonds dated January 1, 2020, with a face amount of $10 million. The bonds mature January 1, 2030 (10 years). For bonds of similar risk and maturity, the market yield is 10%. Interest is paid semiannually on...
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