Suppose that all edge weights in a graph are integers in the range from 1 to |V|.

Question:

Suppose that all edge weights in a graph are integers in the range from 1 to |V|. How fast can you make Prim’ s algorithm run? What if the edge weights are integers in the range from 1 to W for some constant W?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

See More Books

Question Posted: Jul 13, 2010 12:47 PM

See More Questions

Suppose that the edge weights in a graph are uniformly distributed over the halfopen interval [0, 1]. Which algorithm, Kruskals or Prims, can you make run faster?
How fast can you exit your business or cut your losses if necessary?
How fast can you set the Earth moving? In particular, when you jump straight up as high as you can, what is the order of magnitude of the maximum recoil speed that you give to the Earth? Model the...
Alert Security Services Co. offers security services to business clients. The trial balance for Alert Security Services Co. has been prepared on the following end-of-period spreadsheet for the year...
The following frequency polygon represents the cumulative grade point average of a random sample of students at an engineering school. (a) What is the class width? How many classes are represented in...
For a Laplace random variable Whose PDF is given by Find the following: (a) The characteristic function, Ï X (Ï), (b) The Taylor series expansion of ÏX (Ï), (c) A general...
Why might railroads have such low total assets turnovers and food wholesalers and grocery stores such high turnovers? AppendixLO1
On April 1, 2013, CMV Corp. issued $600,000, 5%, 5-year bonds at face value. The bonds were dated April 1, 2013, and pay interest annually on April 1. Financial statements are prepared annually on...
Sheffield Inc. had accounting income of $160,000 in 2020. Included in the calculation of that amount is the CEOs life insurance expense of $5,000, which is not deductible for tax purposes. In...
For the unexcited (no external force applied) system of Figure P2.16, do the following: a. Write the differential equation that describes the system. b. Assuming initial conditions x(0) = x 0 and...
Suppose that a graph G has a minimum spanning tree already computed. How quickly can the minimum spanning tree be updated if a new vertex and incident edges are added to G?
Given a weighted, directed graph G = (V, E) with no negative-weight cycles, let m be the maximum over all pairs of vertices u, v V of the minimum number of edges in a shortest path from u to v....
What are the different forms of follow-up to an audit? Explain why an organization might prefer each one of these forms to the others.
Q. Probabilities of three teams A, B and C of winning the first prize of a business case competition are 3/9, 2/9, 3/9 respectively. These three teams are equally likely to win the prize. True False...
Univex is a calendar year, accrual basis retail business. Univex hold less than 20% of IBM stock. Its financial statements provide the following information for the year: Revenues from sales of goods...
Consider the unadjusted trial balance of Fabuloso, Inc. at December 31, 2023, and the related month-end adjustment data. (Click the icon to view the month-end adjustment data.) Requirements 1....
5.3 BEP Example Bill Braddock is considering opening a Fast 'n Clean Car Service Center. He estimates that the following costs will be incurred during his first year of operations: Rent $9,200,...
The following is the text for an opinion on internal control for W Company, an issuer. Some words or phrases have been replaced with numbers (e.g., [1], [2], etc.). Select from the option list...
What is information? LO.1
Estimate a range for the optimal objective value for the following LPs: (a) Minimize z = 5x1 + 2x2 Subject to X1 - x2 3 2x1 + 3x2 5 X1, x2 0 (b) Maximize z = x1 + 5x2 + 3x3 Subject to X1 + 2x2 +...
Do neoclassical economists believe in Keynes law or Says law?
Discuss why it is important for company managers to understand and use social capital knowledge to help build social ties among their skilled knowledge workers so they can build employee loyalty...
Kate lives in a house close to a local university, and she traditionally has rented a garage apartment in the back of her property to students for $750 per month. Kate wants to transfer the title to...
Pottery Ranch Inc. has been manufacturing its own finials for its curtain rods. The company is currently operating at 100% of capacity, and variable manufacturing overhead is charged to production at...

Suppose that all edge weights in a graph are integers in the range from 1 to |V|.

Question:

Step by Step Answer:

The time taken by Prims algorithm is determined by the speed of the queue ...View the full answer

Introduction to Algorithms

Students also viewed these Computer Sciences questions