Questions
6. For many applications of matchings, it makes sense to use bipartite graphs. You might wonder,...

6. For many applications of matchings, it makes sense to use bipartite graphs. You might wonder, however, whether there is a way to find matchings in graphs in general.

  1. For which n does the complete graph Kn have a matching?
  2. Prove that if a graph has a matching, then |V||V| is even.
  3. Is the converse true? That is, do all graphs with |V||V| even have a matching?
  4. What if we also require the matching condition? Prove or disprove: If a graph with an even number of vertices satisfies |N(S)|≥|S||N(S)|≥|S| for all S⊆V,S⊆V,then the graph has a matching.

Please keep straight to the point and short if possible, I give good ratings on good legible writings and correctness. THANKS!!

In: Advanced Math

Redesign topsort so it selects the LAST NODE in each iteration, rather than the first. def...

Redesign topsort so it selects the LAST NODE in each iteration, rather than the first.

def topsort(G):

count = dict((u, 0) for u in G) # The in-degree for each node

for u in G:

for v in G[u]:

count[v] += 1 # Count every in-edge

Q = [u for u in G if count[u] == 0] # Valid initial nodes

S = [] # The result

while Q: # While we have start nodes...

u = Q.pop() # Pick one

S.append(u)    # Use it as first of the rest

for v in G[u]:

count[v] -= 1 # "Uncount" its out-edges

if count[v] == 0: # New valid start nodes?

Q.append(v) # Deal with them next

return S

In: Computer Science

According to an​ airline, flights on a certain route are on time 85​% of the time....

According to an​ airline, flights on a certain route are on time 85​% of the time. Suppose 25 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly17 flights are on time.

​(c) Find and interpret the probability that fewer than17 flights are on time.

​(d) Find and interpret the probability that at least 17 flights are on time.

​(e) Find and interpret the probability that between 15 and 17 flights, inclusive, are on time.

​(a) Identify the statements that explain why this is a binomial experiment. Select all that apply.

A.There are three mutually exclusive possibly​ outcomes, arriving​ on-time, arriving​ early, and arriving late.

B.The trials are independent.

C.The experiment is performed until a desired number of successes is reached.

D.The probability of success is the same for each trial of the experiment.

E.There are two mutually exclusive​ outcomes, success or failure.

F.The experiment is performed a fixed number of times.

G.Each trial depends on the previous trial.

​(b) The probability that exactly 17 flights are on time is

​(Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected about _ to result in exactly 17 flights being on time.

​(Round to the nearest whole number as​ needed.)

​(c) The probability that fewer than 17 flights are on time is _

​(Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected about _ to result in fewer than 17 flights being on time.

​(Round to the nearest whole number as​ needed.)

​(d) The probability that at least 17 flights are on time is _

​(Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected about _ to result in at least 17 flights being on time.

​(Round to the nearest whole number as​ needed.)

​(e) The probability that between 15 and 17 flights, inclusive, are on time is _

​(Round to four decimal places as​ needed.)

Interpret the probability.

In 100 trials of this​ experiment, it is expected about _ to result in between 15 and 17 flights, inclusive, being on time.

In: Statistics and Probability

A 36 V battery of negligible internal resistance is connected to a 47 kΩ and a...

A 36 V battery of negligible internal resistance is connected to a 47 kΩ and a 21 kΩ resistor in series.

a).

What reading will a voltmeter, of internal resistance 95 kΩ , give when used to measure the voltage across the first resistor?

Express your answer using two significant figures.

V47 kΩ=

b).

What is the percent inaccuracy due to meter resistance for each case?

Express your answer using two significant figures.

V not ideal−V ideal/V ideal=

c).

What reading will a voltmeter, of internal resistance 95 kΩ , give when used to measure the voltage across the second resistor?

Express your answer using two significant figures.

V21 kΩ=

d).

What is the percent inaccuracy due to meter resistance for each case?

Express your answer using two significant figures.

V not ideal−V ideal/V ideal=

In: Physics

Turing machine A that does the following: • On its first and second tape, A receives...

Turing machine A that does the following:

• On its first and second tape, A receives two strings w and v, w, v ∈ {0, 1}? , representing two integer numbers. When machine A is started, the tape heads are located on the left-most position, on the most significant bits of w and v.

• If none of the inputs w and v is the empty word, the Turing machine A writes the binary representation of the sum of the two integer numbers w and v on the third tape and then accepts the input. If one of w or v is the empty word, the Turing machine does not write anything on the third tape and rejects the input. If machine A outputs something, it outputs the binary representation of the sum in such a way that the left-most bit contains the most significant bit of the sum. Be careful: w and v may be of different length.

Q: Define a 3-tape Turing machine M that implements multiplication, in a manner similar to how A implements addition

In: Computer Science

3. Sketch a T-v diagram and find the specified state for the following states a. Propane...

3. Sketch a T-v diagram and find the specified state for the following states

a. Propane at critical temp & press find T(°C), p(bar) and v(m3 /kg)

b. Water v=.05 m3 /kg, T=140°C find p(bar)

c. Water at p=30 MPa, T=100°C find v(m3 /kg)

In: Mechanical Engineering

Use the van der Waals equation and the ideal gas equation to calculate the volume of...

Use the van der Waals equation and the ideal gas equation to calculate the volume of 1.000 mol of neon at a pressure of 500.0 bar and a temperature of 355.0 K. (Hint: One way to solve the van der Waals equation for V is to use successive approximations. Use the ideal gas law to get a preliminary estimate for V

V in ideal gas
V in van der waal gas

In: Chemistry

Suppose that over a certain region of space the electrical potential V is given by the...

Suppose that over a certain region of space the electrical potential V is given by the following equation.

V(x, y, z) = 4x2 − 4xy + xyz

(a) Find the rate of change of the potential at P(3, 6, 6) in the direction of the vector v = i + jk.
???
(b) In which direction does V change most rapidly at P?

???
(c) What is the maximum rate of change at P?

???

In: Advanced Math

A 40-turn coil has a diameter of 11 cm. The coil is placed in a spatially...

A 40-turn coil has a diameter of 11 cm. The coil is placed in a spatially uniform magnetic field of magnitude 0.40 T so that the face of the coil and the magnetic field are perpendicular. Find the magnitude of the emf induced in the coil (in V) if the magnetic field is reduced to zero uniformly in the following times.

(a)

0.30 s

V

(b)

3.0 s

V

(c)

65 s

V

In: Physics

IT Consulting Proposal For this assignment, assume you have been hired by Kris Corporation as an...

IT Consulting Proposal

For this assignment, assume you have been hired by Kris Corporation as an Information Technology consultant. Kris Corporation manufacturers parts for the automotive industry. Your job is to submit a proposal that meets their criteria (listed below) based on information provided. You may fill in any gaps in the specifications provided by making assumptions. All assumptions should be clearly identified.

Current Implementation and Concerns:

  • Parent domain (kris.local) and child domain (corp.kris.local) for the organization's AD infrastructure are running on Server 2012. The upgrade to AD is Server 2016. The following are concerns related to AD: (1) Kris Corporation is concerned about running multiple domain, and (2) automobile manufacturers are asking Kris Corporation to use single identity to procure orders in real time.
  • The company has five locations: Atlanta (GA), Baltimore (MD), Chicago (IL), Seattle (WA) and San Diego (CA). The manufacturing plants are in Atlanta and Seattle.
  • Disaster recovery is a big concern.
  • Physical space for servers is an issue at the Atlanta location.
  • Most of the IT staff is in Atlanta, which is the company's headquarters, but other locations have significant IT personnel as well. Business personnel are similarly distributed across the company's locations.
  • Since all locations are independently connected to the internet, file sharing is difficult among sites.

Your document should integrate the content presented in the course. The outline below provides required points to cover. You are free to add other related information.

Describe the technical and business reasons for each choice, citing other resources as appropriate. The Windows Server 2012 operating system should be used for all aspects of the solution. Each choice should be explained with technical and business reasoning. Solutions should be reasonably detailed.

Your solution should cover the following five numbered areas and associated bulleted items listed under each.

  1. Active Directory
  • Why and how should the company migrate to 2016 AD?
  • Should the company remain at multi-domain model or migrate to single domain?
  • What technology can provide single sign on? How will it be configured?
  1. DNS
  • Where should DNS servers reside?
  • What kind of DNS security can the DNS servers leverage?
  1. DHCP
  • Will a form of DHCP fault tolerance be implemented?
  • How can DHCP addresses be tracked?
  1. Hyper-V
  • Evaluate the pros and cons of implanting Hyper-V. Would it need clustering?
  • What features of Hyper-V can Kris Corporation leverage?
  1. Routing/Security
  • How can Kris Corporation improve its networking capabilities in terms of file sharing and security?

Submission Requirements:

  • The final submission should provide 8-10 pages in length (not counting title page, images, diagrams, tables, or quotations).

In: Computer Science