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- 7- A student has created a plot of y(t)=t^2. He needs to show another graph of z(t)=t^3 in the same plot. But every time he hits the plot() function- MATLAB generates a plot of z(t) vs t but on a different window. What is the error? O It is not possible to plot multiple plots O He is not using the line function Maybe he is using polar() instead of plot() O He is not using the hold functionInformation Cascades It’s election season and two candidates, Candidate A and Candidate B, are in a hotly contested city council race in rainy Eastmoreland. You are a strategic advisor for Candidate A in charge of election forecasting and voter acquisition tactics. Based on careful modeling, you’ve created one possible version of the social graph of voters. Your graph has 10,000 nodes, where nodes are denoted by an integer ID between 0 and 9999. The edge lists of the graphs are provided in the homework bundle. Both graphs are undirected. Given the hyper-partisan political climate of Eastmoreland, most voters have already made up their minds: 40% know they will vote for A, 40% know they will vote for B, and the remaining 20% are undecided. Each voter’s support is determined by the last digit of their node id. If the last digit is 0–3, the node supports A. If the last digit is 4–7, the node supports B. And if the last digit is 8 or 9, the node is undecided. The undecided voters will go…3. You are given a rectangular grid, where each cell corresponds to a land or sea area. If two cells of land are adjacent to each other vertically, horizontally, or diagonally on the you can walk from one to the other. Two land areas belong to the same island if and only if map, then there is a path from one to the other. Describe a graph algorithm that returns the number of islands in the map and analyze runtime in terms of the number of cells n.
- True or False: A simple path in a graph cannot be cyclic. True False9:17 Today Edit 9:17 AM Given a directed graph G=(V, E), design an algorithm to find out whether there is a route between two nodes, say, u and v. Your design should be based on depth first search and should be given in pseudo code.: Imagine a histogram (bar graph). Design an algorithm to compute thevolume of water it could hold if someone poured water across the top. You can assume that eachhistogram bar has width 1.EXAMPLE (Black bars are the histogram. Gray is water.)lnput:{0, 0, 4, 0, 0, 6, 0, 0, 3, 0, 5, 0, 1, 0, 0, 0}
- Given the graph class using the adjacency matrix representation,Implement the DFS algorithm (as discussed in the lecture slide) ongraph using the adjacency matrix representation. You have to use thegraph code as a starting point, and add the DFS method in the graphclass similar to the BFS method already present in the Graph class.1. Unreachable Nodes You have been given an undirected graph consisting of N nodes and Medges. The nodes in this graph are enumerated from 1 to N. The graph can consist of self-loops as well as multiple edges. This graph consists of a special node called the head node. You need to consider this and the entry point of this graph. You need to find the number of nodes that are unreachable from this head node. Create a function unreachableNodesCount (N, M, ListofEdges, HeadNode) where N is the number of nodes, M is the number of edges, List0fEdges contains list of edges in the graph and HeadNode is a special node which is the entry point of this graph. The function will return the number of nodes that are unreachable from the head node. Note: You will need to use N, M and List of Edges to first create the graph, as well as a search function to define the unreachable nodes count. >>>N = 10 >>> M = 10 >>> ListofEdges [(8, 1), (8, 3), (7, 4), (7, 5), (2, 6), (10, 7), (2, 8), (10, 9), (2, 10),…Graph Transversal Simulation: For this graph write down the order of vertices encountered in a breadth-first search starting from vertex A. Break ties by picking the vertices in alphabetical order (for example, A before Z)
- The revenue sources of the federal government were recorded as shown in the table below. Construct a circle graph tovisually display this dataTo find the connected elements in a directed graph, write code that calls proc network. Take note of the proc network statement DIRECTION = DIRECTED.We can traverse a graph using recursion. True False