Answer this two question:Predecessor value for vertices 1, 2 and 3:Predecessor value for vertices 4 and 5 Given the following directed, weighted graph:9698823Use the Bellman-Ford algorithm as demonstrated in the Content, to determine theshortest pathfrom vertex 1 to all other vertices, including the predecessor values.Remember that for each phase, assume the edges examined in numeric order:(1,1), (1, 2), (1, 3)...(5, 3), (5, 4), (5, 5) show the values in the Predecessor array P for vertices 1 to 5, after the secondphase.List the values for vertices 1, 2 and 3 in the FIRST blank.List the values for vertices 4 and 5 in the SECOND blank.Separate the values by spaces,and if a vertex has no predecessor, mark it with 0.For example:03501Predecessor values for vertices 1, 2 and 3:Predecessor values for vertices 4 and 5:

Bellman-Ford algorithm is a single source shortest path algorithm that is used to determine the…

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Based on the undirected Graph G: e₁ es e10 V₁ es e6 e10 V4 e6 e3 V4 e9 e11 e3 eg e7 e11 e₂ e7 V₂ Undirected Graph G a) Find the degree of each vertex in the undirected Graph G. b) Find the adjacency matrix and incidence matrix of Graph G. c) If undirected Graph G is converted into a directed Graph G as in Figure 2, find the in- degree and out-degree for each vertices. e₁ es V5 e12 e2 V₂ es V5 e4 e12 e13 e4 e13. V3 Figure 2: Directed Graph G e14 V3 e14
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QUESTION 3 A directed graph has 5 nodes and the following directed weighted edges: An edge of weight 4 from node 3 to 1; An edge of weight 4 from node 1 to 2; An edge of weight 5 from node 5 to 2; An edge of weight 4 from node 4 to 3; An edge of weight 4 from node 2 to 4; An edge of weight 3 from node 2 to 5; An edge of weight 3 from node 3 to 5; An edge of weight 5 from node 4 to 5; Construct the weight matrix W to represent this graph. Use Floyd Algorithm to find the Distance Matrix D giving the shortest distance from every node to the other nodes. Write the last row of the Distance Matrix here.
Create a weighted connected graph with the following characteristics: The assigned number of vertices are alphabetically labeled starting with A Vertex A is not adjacent to vertex G. At least two vertices have a degree greater than 2. All weights are greater than 0. No weights are the same. 1. Identify the degree of each vertex in your graph. 2. Explain whether the graph has an Euler path, using definitions, properties, or theorems. 3. Describe a path from vertex A to G. 4. Find the total weight of the path from part F3. Show all work. My number is 9.
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For the weight of graph shown in fig in the figure below, find the cheapest link tour. Write that circuit using B as the starting vertex. E Tour: 2.2 D 3.4 Cost 3/1 4.1 A 3.8 2.4 3.3 4.5 3.2 C 3.6 B
You are given a graph with five vertices (1,2,3,4,5). You are also told that the DFS sequence is 123245421 Which of the following are NOT possible edges to be left out of the DFS (2,5) (3,4) (1,4) (3,5)
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Answer this two question: Predecessor value for vertices 1, 2 and 3: Predecessor value for vertices 4 and 5