Consider the recursive algorithm in Figure 10.80 for finding the shortest weighted path in an acyclic graph,
Question:
a. Why does this algorithm not work for general graphs?
b. Prove that this algorithm terminates for acyclic graphs.
c. What is the worst-case running time of the algorithm?
Transcribed Image Text:
Distance shortest( s,t ) Distance di, tmp; if( s == t ) return 0; de 00; for each Vertex v adjacent to s { tmp = shortest (v, t ); if( Cs,y + tmp < d¿) di = Csy + tmp; } return d;; }
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
a If the graph has a cycle then the recursion does not alway...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Data Structures and Algorithm Analysis in Java
ISBN: 978-0132576277
3rd edition
Authors: Mark A. Weiss
Question Posted:
Students also viewed these Computer Sciences questions
-
Assume a packet is made only of four 16-bit words (A7A2) 16 , (CABF) 16 , (903A) 16 , and (A123) 16 . Manually simulate the algorithm in Figure 10.17 to find the checksum. Figure 10.17 Figure 10.17...
-
Describe a recursive algorithm for finding the maximum element in an array, A, of n elements. What is your running time and space usage?
-
Consider the problem of finding the shortest path between two points on a plane that has convex polygonal obstacles as shown in Figure 3.31. This is an idealization of the problem that a robot has to...
-
Doug Robinson and Dante are considering the possibility of opening their own manufacturing facility. They expect first-year sales to be $800,000, and they feel that their variable costs will be...
-
A rocket for use in deep space is to be capable of boosting a total load (payload plus rocket frame and engine) of 3.00 metric tons to a speed of 10 000 m/s. (a) It has an engine and fuel designed to...
-
One of Philip Mahns investments is going to mature, and he wants to determine how to invest the proceeds of $30,000. Philip is considering two new investments: a stock mutual fund and a one-year...
-
Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters (in standardized units), describing the average characteristics of a wine in each cluster, are listed in the...
-
Oceanic Airways makes investments in available-for-sale securities. Selected income statement items for the years ended December 31, 2012 and 2013, plus selected items from comparative balance...
-
The Ace Battery Company has forecast its sales in units as follows: January February March 2,000 April May 1,850 June 1,800 July 2,300 2,550 2,700 2,400 Ace always keeps an ending inventory equal to...
-
The following table is already in first normal form (1NF). There is only one entry per field. Please convert this table to the third normal form (3NF) using the techniques you learned. Write a short...
-
In the game of chess, a knight in row R and column C may move to row 1 R' B and column 1 C' B (where B is the size of the board) provided that either |R - R'| = 2 and |C - C'| = 1 or |R - R'| =1...
-
Let A be an N-by-N matrix of zeros and ones. A submatrix S of A is any group of contiguous entries that forms a square. a. Design an O(N2) algorithm that determines the size of the largest submatrix...
-
Next, unpolarized light is reflected off a smooth horizontal piece of glass, and the reflected light shines on the insect. Which statement is true about the two types of cells? (a) When the light is...
-
5. Simplify the following expressions into both rectangular form and standard polar form (reje with r0 and - <0). (a) 4e-j/3-3e-j*/6 (b) (-2+ j2)10 (c) R{(1+j)e-j/4} (d) (2-j2)1/3
-
Identify how the law of diminishing marginal utility fits into an analysis of the demand for health care. Identify an example of an opportunity cost in the context of healthcare economics for an...
-
Describe steps that the Zambian government can take to ensure greater tax compliance among individual and corporate taxpayers. Explain in detail.
-
Do socio-economic factors such as income level, education level, and employment status predict citizens' satisfaction with democracy in Sub-Saharan Africa?" what are the continuous variables.
-
. The rockfill dam is to have the cross-section shown in the figure. The design depth is 10 m. Estimate: (1) the total pressure acting on the dam per unit width and (2) the location of the center of...
-
Find the values of the variables for which each statement is true, if possible. Your friend missed the lecture on adding matrices. Explain to him how to add two matrices.
-
SCHEDULE OF COST OF GOODS MANUFACTURED The following information is supplied for Sanchez Welding and Manufacturing Company. Prepare a schedule of cost of goods manufactured for the year ended...
-
Assume (for simplicity in this exercise) that only one tuple fits in a block and memory holds at most 3 page frames. Show the runs created on each pass of the sort-merge algorithm, when applied to...
-
Let relations r1 (A, B, C) and r2 (C, D, E) have the following properties: r1 has 20,000 tuples, r2 has 45,000 tuples, 25 tuples of r1 fit on one block, and 30 tuples of r2 fit on one block. Estimate...
-
Design a variant of the hybrid mergejoin algorithm for the case where both relations are not physically sorted, but both have a sorted secondary index on the join attributes.
-
sked byChina699 BEMIDJI STATE UNIVERSITY Department of Technology, Art & Design TADT 3217 : Materials Science & Metallurgy Hardness Testing [A continued look at the Heat Treatment of Steel] ...
-
1. Advocate Aurora Sheboygan Memorial Hospital health care product or service to be marketed in your community. 2. Conduct appropriate market research in your community to determine the demographics...
-
How do ethical leaders integrate ethical considerations into strategic decision-making processes, balancing short-term business objectives with long-term ethical imperatives to ensure sustainable...
Study smarter with the SolutionInn App