5. For the Graph given below, illustrate the Floyd-Warshall method to determine the final D and P matrices and determine the shortest path for the following source and destination. All answers must come from the final D and P matrices. a) From vertex 4 to 3 b) From vertex 3 to 1 2 3 s 7 12 3

Q: Question 1: b) Given a 3*3 array below: 18 19 26 11 24 15 Write a program in C++ language to find…

A: This question comes from C++ Programming Language which is a paper of computer science. Let's…

Q: (c) You are given a directed graph G where all edge weights are positive. Given two vertices s and t…

A: Оne  аlgоrithm  fоr  finding  the  shоrtest  раth  frоm  а  stаrting  nоde  tо  а  tаrget  nоde  in…

Q: 2. Calculate the transition matrix of the random walk in the following graphs and find n 2 1 such…

A: Calculate the transition matrix of the random walk in the following graphs and find n>= 1 Such…

Q: 8 3 3 4 o Give the adjacency matrix of the graph. o Use Kruskal's algorithm to find an MCST of the…

A: Note:- Thanks for your question, As per our guideline we can answer only first question, please…

Q: (a) Draw a connected 3-regular graph with 6 vertices and no loops (b) Show that every 3-regular…

A: Regular graph is a graph where each vertex has same degree. In regular directed graph if must…

Q: (a) the chromatic number of G. Give a minimal colouring and a proof that a smaller number of colours…

A: The chromatic number of graph G is to determine the minimum number of colors needed vertex hence,…

Q: le connected zones of Hamilton are shown in a planar map, in the following Fig.1. Draw the planar…

A: the answer is an given below :

Q: Consider the graph shown in Fig State all the simple paths from A to D, B to D, and C to D. Also,…

A: Given graph contains, Set of vertices= {A, B, C, D} Between these vertices there are many directed…

Q: Solve the problem. The following graph Select one: a. none of these b. has no Hamilton circuit. c.…

A: Hamilton circuit :- Hamilton circuit in a graph is a circuit which visits every vertex only once but…

Q: Explain a method that computes the strong connected component that contains a given vertex (v) in…

A: A linear-time algorithm can calculate active links containing a given vertex v as follows:

Q: Draw the complete bipartite graph K4, 4. Label its vertices 1, 2, 3, ., n and list the edges in…

A: bipartite graph: In this, vertex are  divided into two disjoint  and independent sets…

Q: a. Prove by Kuratowski's theorem that the two graphs below are not planar E F 2 7 8 b. Show that a…

A: A Kuratowski's theorem state that a finite graph G is planar if it is not possible to subdivide the…

Q: Problem 3: Consider the following weighted graph: 5 1. Find the length of the shortest path between…

A: We need to find the shortest lenght path between a and z.We can apply the dijkstra's technique.

Q: 1. Assume that G is a triangle-free planar graph with v vertices and e edges. Let K3,3 denotes the…

A: Here is the answer with explanation:-

Q: 2. Use Warshall's to get the transitive closure for the following graph. Show all 5 R matrices,…

A: Using the adjacency matrix, Warshall's approach may be used to find the transitive closure of a…

Q: 2) [0, 2, 11, 1, 1, 0, 10, 9, 3, 00, 0, 3, 0, 0] 3, 00, 00, 3, 7, a) Draw the above directed graph…

A: Answer : Graph   0 1 2 3 4 0 0 -1 2 11 1 1 1 0 10 9 3 2 -1 -1 0 3 -1 3 3 -1 -1 0 -1 4…

Q: Problem B5: Let G be the directed graph below: I Use matrix multiplication to compute the number of…

A: Given a directed graph G consisting of four nodes : 2,3,4,1 . The above graph is directed because it…

Q: a d b a) Give the vertex set of the G. b) Give the set of edge of G. c) Find the degree of each of…

A: In this question we have been given with the graph and we have to answer for the graph theory…

Q: Create a function/method with one parameter which is Account Balance. The function should check if…

A: Algorithm: 1.Take account balance from the user 2.define a function called update_Balance  3.Ask…

Q: 2a) Describe the the modified Bellman Ford algorithm to reweigh the edges of a graph to be non…

A: Bellman–Ford Algorithm   Given a graph and a source vertex src in graph, find shortest paths from…

Q: a. Draw the directed graph corresponding to the adjacency matrix. [101] 2 1 0 Lo 2 1 b. Using the…

A: The above question is solved in step 2 :-

Q: 15 b 21 14 c 17 d 00 2. 1.

A: Initialize distances from the source to all vertices as infinite and distance to the source itself…

Q: Find the adjacency matrices for the following graph and answer how many walks of length 2 from v2 to…

A: An adjacency matrix is the way to represent the graph. In this representation, we will assign both…

Q: E F B ប A Determine whether the graph contains an Euler path or an Euler circuit. Select the one…

A: Answer: We need to write the given graph is Euler path or Euler circuit. So we will see in the more…

Q: Which of the following problems can be solved in O(n3) time, where n is the number of vertices in…

A: The objective of the question is to identify which of the given problems can be solved in O(n^3)…

Q: Problem 8: Let G be a connected planar graph with n vertices and f faces. Prove that f≤ 2n-4.

A: Answer to the given question

Q: Model the following problem as a network flow problem and write down the corresponding linear…

A: first we have to formulate given graph in matrix form       [0, 1, 1, 0, 0]  [0, 0, 1, 0, 1]  [0,…

Q: Consider the following undirected weighted graph: 6 A. 24 B. 23 C. 15 D. 19 a b 2 f 7 4 10 d 7 (1)…

A: - We need to get the weight of MST using kruskals algorithm.

Q: {01] Assumen > 3. For which values of n do these graphs have an Euler circuit?

A: A connected multigraph (or graph) has an Euler circuit iff each of its vertices has even degree.(a)…

Q: II. Solve the following problems applying the concept of Eulerian and Hamiltonian Graphs. Discuss…

A: The question is related to graph theory and finding route which will traverse all of the streets or…

Q: a. Show the adjacency matrix of the graph b. Show the Adjacency List of the graph c. Show the…

A: Given graph contains, 6 vertices {A, B, C, D, E, F} and 8 edges {AB, AE, AD, BC, CE, DE, EF, CF} .

Q: 7) Solve the single-source shortest-paths problem for the following graph using Dijkstra's…

A: To solve the single-source shortest paths problem using Dijkstra's algorithm, I'll walk through the…

Q: Prove that if v1 and v2 are distinct vertices of a graph G = (V,E) and a path exists in G from v1 to…

A: Since given graph G = (V, E) have v1 and v2  are distinct vertices and a path exists in G from v1 to…

Q: 6. An undirected graph G =(V, E) is shown in the figure below. Find the (i) number of vertices, (ii)…

A: Below is the complete explanation about various graph properties like Vertices Edges Degree of…

Q: 5. Consider the following graph G (a) How many paths of length 5 are there between vertices 1 and 2?…

A: Hey there, I am writing the required solution based on the above given question. Please do find the…

Q: For the following graph, apply Floyd-Warshall’salgorithm to find out All-pair shortest path. Show…

A: Apply Floyd-Warshall’salgorithm   1 2 3 4 5 6 7 1 0 INF INF -c INF INF INF 2 b 0 -h INF INF…

Q: Apply Dijkstra's algorithm to find the shortest path from S to D in the following graph. D.

A:

Q: 1. Let A = {2, 3, 4, 5, 6, 7, 8} and Ra relation over A. Draw the directed graph and the binary…

A: 1. Let A = {2, 3, 4, 5, 6, 7, 8) and R a relation over A. Draw the directed graph and the binary…

Q: a) Create a graph using the cities as vertices and the edges as interstates, use only the cities…

A: Note:  According to guidelines we are supposed to answer only first 3sub-parts at a time. Please…

Q: 1. For each part, determine (1) whether the graph has a negative-weight cycle (i) which algorithm is…

A: Answer:- A)if Graph doesn't contain any negative edge weight then Dijkstra algo is best here we can…