EBK COMPUTER NETWORKING
7th Edition
ISBN: 8220102955479
Author: Ross
Publisher: PEARSON
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Question
Chapter 6, Problem P8P
a.
Program Plan Intro
ALOHA:
It is nothing but a method in which the transmitter sends data whenever there is an availability of a frame. It provides co-ordination and access to a shared communication networks channel.
b.
Program Plan Intro
ALOHA:
It is nothing but a method in which the transmitter sends data whenever there is an availability of a frame. It provides co-ordination and access to a shared communication networks channel.
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Students have asked these similar questions
Let a network be given by nodes V = {S, A, B,C, D,T} and arcs, capacities e and a flow f according to
the table:
SA SC AB BŃ ŠC DC BD DT AT CT
3 ?
4 1
1
?
3 4 3 5
?
3
9.
3 5 1 1
(a) Complete f and e such that f is an admissible flow from S to T. Justify your answer. What is the
value of the flow?
Apply the augmenting algorithm to the following flow
4/6
Š
D
8/8
6/8
3/3
A
1/6
1/7
1/3
3/10
5/9
E
3/3
in order to find
(a) a maximal flow in the network;
(b) the corresponding minimal cut;
Given a graph G (N, A) on which each arc (i, j) E A has an associated value rij, which is a real number in
the range of 0 ā¤ rij ā¤ 1 that represents the reliability of a communication channel from node i to node j.
We interpret rij as the probability that the channel from node i to node j will not fail, and we assume that
these probabilities are independent. Please formulate this problem as a shortest path problem and solve it
using the Dijkstra's algorithm.
1
0.8
0.8
2
3
ŁŪŲ§
0.5
0.6
1
0.8
0.9
5
0.9
0.7
Chapter 6 Solutions
EBK COMPUTER NETWORKING
Ch. 6 - Consider the transportation analogy in Section...Ch. 6 - If all the links in the Internet were to provide...Ch. 6 - Prob. R3RQCh. 6 - Prob. R4RQCh. 6 - Prob. R5RQCh. 6 - Prob. R6RQCh. 6 - Prob. R7RQCh. 6 - Prob. R8RQCh. 6 - Prob. R9RQCh. 6 - Prob. R10RQ
Ch. 6 - Prob. R11RQCh. 6 - Prob. R12RQCh. 6 - Prob. R13RQCh. 6 - Prob. R14RQCh. 6 - Prob. R15RQCh. 6 - Prob. R16RQCh. 6 - Suppose the information content of a packet is the...Ch. 6 - Suppose the information portion of a packet (D in...Ch. 6 - Prob. P4PCh. 6 - Prob. P5PCh. 6 - Prob. P6PCh. 6 - Prob. P7PCh. 6 - Prob. P8PCh. 6 - Prob. P9PCh. 6 - Prob. P10PCh. 6 - Prob. P11PCh. 6 - Prob. P12PCh. 6 - Prob. P13PCh. 6 - Prob. P14PCh. 6 - Prob. P15PCh. 6 - Prob. P16PCh. 6 - Prob. P17PCh. 6 - Prob. P18PCh. 6 - Prob. P19PCh. 6 - Prob. P20PCh. 6 - Prob. P21PCh. 6 - Prob. P22PCh. 6 - Prob. P23PCh. 6 - Prob. P24PCh. 6 - Prob. P25PCh. 6 - Prob. P26PCh. 6 - Prob. P27PCh. 6 - Prob. P32PCh. 6 - Prob. P33P
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Similar questions
- The picture below shows a network with capacities c(e) and an actual s-t- flow f. Show that the flow f is not maximal and, starting from f, compute a maximum flow and minimum cut S with the algorithm of Edmonds and Karp. Specify the cut edges of S. a 10/5 3/0 3/0 5/5 8/8 b 10/8 = 8/8 5/5 3/0 3/0 10/5 darrow_forwardQuestion 10. The graph below represents a network and the capacities are the number written on edges. The source is node a, and the target is node e. We use the Ford-Fulkerson method to find the max flow. The questions below are about the first iteration of the method. a d 1 3 7 b e 1 2 1 (a) Indicate one augmenting path. (b) How much flow can be pushed on the path you indicated at (a)? (c) Draw the residual graph GĘ for the flow you have indicated at (b). Question 8. A com Show that harrow_forward||H(ejĀ«)| = {1, Q3: The frequency response of an ideal low-pass filter is: - 1, Ļ/4ā¤w ā¤ Ļ/4 . otherwise and ZH(ejw) = S-Ļ/2, wā„O Ļ/2, Ļ < 0 a) Calculate the impulse response h(n) of the filter. 30 Mark 35 Mark b) If the above filter is connected in series with a defective sinusoidal signal generator that gives sinusoids of x(n) = 1.5 cos (2nĻ/3), for what frequency (or frequencies) is the filter output y(n)? N-I Ī£Ī±Ļ = 1-a N 1-a 1 a" tal < 1 =0 a * Use the expressions in the table as much as it is needed. N-I Ī£na" = (N-1)a+ Na + a (1 - a)Ā² a na" = la <1 (1 - a)Ā² Š» N-I A=0 N-I Ī£Ļ= ( - 1) = Ī£N(N-1)(2N - 1) Š»Š¾ A=0arrow_forward
- In this question, we consider the operation of the Ford-Fulkerson algorithm on the network shown overleaf: 0/16 0/12 0/8 0/4 0/8 0/5 19 0/11 174 0/13 0/14 0/2 0/11 0/10 Each edge is annotated with the current flow (initially zero) and the edge's capacity. In general, a flow of x along an edge with capacity y is shown as x/y. (a) Show the residual graph that will be created from this network with the given (empty) flow. In drawing a residual graph, to show a forward edge with capacity x and a backward edge with capacity y, annotate the original edge *;į»¹. (b) What is the bottleneck edge of the path (s.ā,vs,t) in the residual graph you have given in answer to part (a)?arrow_forwardShow that the maximum efficiency of pure ALOHA is 1/(2e). Note: This problem is easy if you have completed Problem 8 thatsays: a) When there are N active nodes, the efficiency of slotted ALOHA is Np(1-p)^N-1. Find the value of p that maximizes this expression. b) Using thisvalue of p found in (a), find the efficiency of slotted ALOHA by letting N approach infinity. Hint: (1-1/N)^N approaches 1/e as N approaches infinity.arrow_forwardUse Dijkstraās algorithm to find the shortest path from a to z in the following weighted graph. Please show your steps to receive any credit. Please highlight the shortest path you obtained (highlight only one shortestpath.) The length of a shortest path isA shortest path isarrow_forward
- Use Dijkstraās algorithm to find the shortest path from a to z in the following weighted graph. Please show your steps to receive any credit. Please highlight the shortest path you obtained (highlight only one shortestpath.) The length of the shortest path isThe shortest path isarrow_forwardAES uses operations performed over the finite field GF(2^8) with the irreducible polynomialx8 + x4 + x3 + x + 1. Q: In a finite field GF(2^8) with the irreducible polynomial x^8 + x^4 + x^3 + x + 1, given two bytes of inputs, explain how the addition works.arrow_forward2. Determine the sets N and A for each network 3. Draw the network defined by N = {1, 2, 3, 4, 5, 6} A = {(1,2), (1,5), (2,3), (2,4), (3,4), (3,5), (4,3), (4,6), %3Darrow_forward
- 4. The following graph shows the roads connecting each city that you wish to visit on a road trip. The weights of each roads (the numbers for the different edges) describe the cost (in 10's of dollars) to drive the length of that road. Use either the RNNA (repeated nearest neighbor algorithm) or the Brute Force Algorithm to find a minimal cost Hamiltonian circuit for a road trip that starts and ends at vertex A, and visits every other vertex exactly once. Draw minimal cost Hamiltonian circuit on the graph, and state the cost for the trip. (Note: RNNA does not necessarily find THE minimum cost circuis, but it will find a good estimate - this is fine for your solution.) E 4 D 5 6 3 7 2 A 9 1 00 8 2 5 3 3 Barrow_forwardQ4) Suppose that you form a low pass spatial filter that averages the 4-neighbors of a point (x, y) as the following: 1 80 y) =10 y +1) +flx + 1, y) +flx, y - 1) +flx - 1, y)] . (a) Prove that the transfer function of the filter is defined as: H 1 2mu o 2y (wv) = 3 [cos N cos N (b) Image g(x,y) is sharpened by the Laplacian operator H as: 8xy)=fixy)+Vf(x,y) 0 -1 0 H=|-1 8 -1 0 -1 0 Prove that: e 90,y) =10[r(xy) - Ā£ F G | fix, v) is the mean of f(x,y) with its four neighboring pixelsarrow_forwardGiven a flow network as below with S and T as source and sink (destination). The pair of integers on each edge corresponds to the flow value and the capacity of that edge. For instance, the edge (S.A) has capacity 16 and currently is assigned a flow of 5 (units). Assume that we are using the Ford-Fullkerson's method to find a maximum flow for this problem. Fill in the blanks below with your answers. a) An augmenting path in the corresponding residual network is Note: give you answer by listing the vertices along the path, starting with S and ending with T, e.g., SADT (note that this is for demonstration purpose only and may not be a valid answer), with no spaces or punctuation marks, i.e., no commas "," or full stops ".". If there are more than one augmenting path, then you can choose one arbitrarily. b) The maximum increase of the flow value that can be applied along the augmenting path identified in Part a) is c) The value of a maximum flow is Note: your answers for Part b) and Partā¦arrow_forward
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