Using the curve sketching algorithm developed in class, sketch the graph of you given 100- 4(x-1) Ло 8-3) 100- (x-1) Ensure you sketch by HAND-NO technology! BIU = % DELL :: A18
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- Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of the pieces is a rook, which can move from its current square any number of spaces either vertically or horizontally (but not diagonally) in a single turn. Discuss how you could use graphs to show that a rook can get from its current square to any other square on the board in at most two turns. You’re encouraged to utilize relevant graph definitions, problems, and algorithms where appropriate.Consider the graph in the attached. Give the order that the vertices are visited using Depth-First Search.Suppose that G=(V,E) is an undirected graph. Say that a set S⊂V of vertices of G forms a clique(complete subgraph) of size ?n if each vertex in S is adjacent to each other vertex in S and |S|=n. Given the following graph G=(V,E), use the exhaustive search algorithm to generate all possible cliques of size n,1≤n≤|V|. After you're done, what is the maximum size of clique that you can find from G? Feel free to name each node up to your preference.
- This is applid combinatorics. You dont have to draw the graph for question 1a) 1a) Suppose a dictionary in a computer has a “start” from which one can branch toany of the 26 letters: at any letter one can go to the preceding and succeedingletters. Model this data structure with a graph.(b) Suppose additionally that one can return to “start” from letters c or k or t.Now what is the longest directed path between any two letters?A chicken farmer wishes to provide electric power to each chicken house on his farm by installing buried electrical power lines. The graph below illustrates the locations of the houses and the distances between them in feet. Use Kruskal's algorithm to determine how the farmer should dig channels in order to minimize the amount of digging. Also determine the minimum total length of channels that must be dug.Q) Use Dijkstra's algorithm to find the shortest path between Node A to J. Show all the workings at each vertex.
- Provide A MATLAB code only. Provide a picture of the graph and clearly explain the code wherever necessary. If any theoretical calculation is required, show that too.[2B] The given table below shows the 5 different places that you would like to visit on a particular day. The table below shows the estimated distance (in kilometers per hour) it takes you to travel from one place to another. If you will visit each of these places exactly once, determine the shortest time possible it would take you to do using the Edge-Picking Algorithm. Examples already provided in the photos below. Home Hospital Mall Esplanade Pet Shop Market Home --- 2.00 km/h 4.00 km/h 3.53 km/h 6.00 km/h 20.00 km/h Hospital 2.00 km/h --- 3.53 km/h 3.00 km/h 2.40 km/h 2.61 km/h Mall 4.00 km/h 3.53 km/h --- 30.00 km/h 2.40 km/h 3.33 km/h Esplanade 3.53 km/h 3.00 km/h 30.00 km/h --- 2.22 km/h 3.00 km/h Pet Shop 6.00 km/h 2.40 km/h 2.40 km/h 2.22 km/h --- 8.57 km/h Market 20.00 km/h 2.61 km/h 3.33 km/h 3.00 km/h 8.57 km/h ---In the first row of the table you can see the given characters, in the second, you can see how often the letter appeared in the text.Task: Create an optimal huffman tree, using the table.
