Draw the directed email graph for the xyz.com employees abc, bcd, cde, def, efg, fgh, ghi if there were on one day: 3 emails from abc to efg, from cde to ghi, and from def to bcd; 2 emails from def to abc, from bcd to ghi, from fgh to bcd, and from efg to cde; and 1 email from ghi to fgh, from efg to def, and from ghi to def.
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Draw the directed email graph for the xyz.com employees abc, bcd, cde, def, efg, fgh, ghi if there were on one day: 3 emails from abc to efg, from cde to ghi, and from def to bcd; 2 emails from def to abc, from bcd to ghi, from fgh to bcd, and from efg to cde; and 1 email from ghi to fgh, from efg to def, and from ghi to def.
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- Consider the graph in the figure below as displaying the links for a group of 5 webpages >> Using the modified graph of question 3B, derive the PageRank π(i) for all nodes, where i={1,...,5} corresponds to the node index. Assume that the teleportation probability is set to αa) Explain how graphs can be used to model electronicmail messages in a network. Should the edges be directedor undirected? Should multiple edges be allowed?Should loops be allowed?b) Describe a graph that models the electronic mail sentin a network in a particular week.Given webpages {A, E, F} and links {A→F, F→A, F→E, E→F, A→E}. Then, the PageRankPr of a website Xiis calculated withPr(Xi) = (1 − d) + d(PXj→XiP r(Xj )out(j))where out(j) denotes the number of outgoing links from a webpage Xj . Understand thisproblem as an equation system problem and assume d = 0.5. What are then the estimatedPagerank values of the nodes A, E, F?
- Suppose that the road network is defined by the undirected graph, where the vertices represent cities and edges represent the road between two cities. The Department of Highways (DOH) decides to install the cameras to detect the bad driver. To reduce the cost, the cameras are strategically installed in the cities that a driver must pass through in order to go from one city to another city. For example, if there are two cities A and B such that the path that goes from A to B and the path that goes from B to A must pass the city C, then C must install the camera. Suppose that there are m cities and n roads. Write an O (m + n) to list all cities where cameras should be installed.Using a directed graph to represent each subject and each object by a node, depict the protection stateshown in the discretionary access control (DAC) model described in the textbook1. An entity which is both subjectand object is represented by a single node. A directed line from a subject to object indicates an access right. Alabel on that link defines the type of access right. Draw a directed graph that corresponds to the access matrix ofFig. A (see next page).5 Consider the degree-4 LFSR given by x to the power of 4 space plus space x squared space plus space x space plus space 1. Assume that the LFSR is initialized with the string left parenthesis s subscript 0 s subscript 1 s subscript 2 s subscript 3 right parenthesis equals left parenthesis 0110 right parenthesis. How long is the cycle generated?
- A star configuration of a network represents its structure as a graph with an edge from a single, central node to each remaining node. A point-to-point configuration represents a network as a complete graph. Draw a picture of an example of each kind of configuration with four nodes, and use big-O notation to state the efficiency of adding or removing a given node in each type of configuration. You can assume for now that removing each edge is a constant-time operation. *PythonConsider an e-commerce Web site that normally runs seven days a week, 24 hours a day, generating an average of $10,000 per hour in revenue from customer orders. Experience has shown that: - the site becomes unavailable due to operating systems failure five times a week. - At each operating system failure, the site is unavailable for 2 hours. - In addition, the company estimates that upon a failure, it would spend $5,000 on advertising to counteract the negative publicity from such an incident. Calculate SLE, ARO and ALE (Show the calculation).Given the unconnected graph shown below, where the edges that are possible are shown as dashed lines with their associated costs, which of the following answers represents the minimum spanning tree for the graph? The original graph is the one with dotted lines that are NOT red.
- Consider the following transshipment network for finding the shortest route from node 1 to node 7. A network diagram between seven parties, distributed across four columns, is shown. The left-most column contains node 1. The second column contains nodes 2, 3, and 4. The third column contains nodes 5 and 6. The right-most column contains node 7. Arrows are shown between various locations. The following list contains the numbers placed on the graph. 1→2: 7 1→3: 9 1→4: 18 2⇆3: 3 2⇆5: 5 3⇆2: 3 3⇆5: 4 4→6: 3 5⇆2: 5 5⇆3: 4 5⇆6: 2 5→7: 6 6⇆5: 2 6→7: 3 7: no departing arrows (a) Formulate a linear programming model of the problem. (Express your answers using xij, where each xij is either 0 or 1 for the arc from node i to node j.) Min s.t.Node 1 Flows Node 2 Flows Node 3 Flows Node 4 Flows Node 5 Flows Node 6 Flows Node 7 Flows For all xij = 0, 1. (b) Find the shortest route from node 1 to…The questions below assume weighted undirected graphs with distinct edge weights. True or False: The highest cost edge in a graph cannot be in an MST. If true, prove it. If false, show an example in which it is included.True or False: The highest cost edge in a cycle within a graph cannot be in an MST. If true, prove it. If false, show an example in which it is included. Give an example of a graph in which the highest weighted edge will not be in the MST, but will be in a shortest path tree from a given node when running Dijkstra’s algorithm. Note: you need to provide the graph with all weights, and select a source node for Dijkstra that will include the highestweighed edge.Lets say a graph Plotted are the acoustic vowel spaces for a female speaker producing clear and casual/ conversational speech. As the graph may show, this speaker produces a larger vowel space during clear speech versus conversational speech. i. What consequences may this acoustic modification have on intelligibility? ii. How might vowel space expansion be viewed as a direct consequence of reduced speaking rate?