1. Consider the graph below (Graph 1) and apply Kruskal’s Algorithm to find the minimum spanning tree. [25] 2 F A 20 D G H 11 10 22 7 B E Figure: Graph 1

Q: 1. Consider the graph below. Find the betweenness of the following edges (a) AB (b) BC (c) DE F D

A: As I have read the guidelines I can provide answers to only 1 part of the questions in case of…

Q: 15 14 11 16 18 13 9 12 3. I Consider the graph given above. Use Prim's algorithm to find the minimum…

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Q: For the given graph draw the adjacency matrix & find the minimum spanning tree. 1 6. 3 2 3 1 4

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Q: 2. Minimum Spanning Tree (MST) algorithms. 10 8 9 B 2 9 12 5 E D 6 4 a. Apply Kruskal's algorithm to…

A: Minimum spanning tree is a subset of the edges of a connected and edge weighted graph that connects…

Q: (a) Find a minimal spanning tree for the following graph using Kruskal's algorithm, then calculate…

A: Here in this question we have given a graph.and we have asked to apply kruskal algorithm on it..and…

Q: 1. Plans that Span (MSTs) 6 9 32₂ 3 4 6 1 4 2 2 2 5 3 7 8 8 6 5 5 1.1 Given the graph above, find a…

A: Spanning tree:  is a subgraph of a given graph, created using minimum number edges to connect all…

Q: The following graph shows the distances, in units of 100 km, between 12 cities. A 2 B 3 7 2 3 5 E 4…

A: Given: Units of 100 km between 2 cities. We have to find: Two different spanning trees and…

Q: 1. Use the depth-first algorithm to find a spanning tree.

A: With depth first algorithm a spanning tree of the given graph

Q: a) Find a minimum spanning tree using Prim’s algorithm. Use A as the start point and if there are…

A: One of the non-linear data structures that contain a number of nodes and edges connecting the nodes…

Q: Miscellany. Each of the following assertions is either True or False. Write either TRUE or FALSE…

A: 1.TRUE - For a graph G, either G or G' is connected. 2. FALSE for a labelled tree, there will be…

Q: 5. Draw a W, graph and label the vertices. Use a breadth first search starting at the central vertex…

A: W in W7 graph refers to a wheel graph which means is a chart framed by associating a solitary…

Q: Problem 6B (Dijkstra’s Algorithm) Please provide brief reason to support your answer. Let T be a…

A: the answer is given below :

Q: For Items 49-52. Refer to Graph 2 49.Using Prim's Algorithm to find the minimum spanning tree in…

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Q: Use Kruskal's algorithm to find a minimal spanning tree for the following graph, explaining each…

A: Kruskal's algorithm is a popular algorithm used to find the minimum spanning tree (MST) of a given…

Q: Find minimum cost spanning tree for the following graph using Kruskal's algorithm: 7 3 D 5 2 B 4 3 7…

A: A connected, undirected graph's minimal spanning tree (MST) can be found using the greedy Kruskal's…

Q: (a) Apply Dijkstra's Algorithm to the graph with A as the source/root. Draw the final graph its…

A: The final table after applying the algorithm on the given graph will be  Source is ' A '

Q: 4) Use primes algorithm to find the minimum spanning tree of the following graph. 5 2. A В C 4 4 6 4…

A: Prim's algorithm utilizes the greedy way to find minimum cost spanning tree for connected weighted…

Q: Use the graph provided to answer the question: Finding the Minimum Spanning Trees (MST) of…

A: Given graph contains, Set of vertices= {a, b, c, d, e, f, g} Between these vertices weighted edges…

Q: b) Consider graph G=(V, E) with six nodes and eight edges. The edges have distinct integer weights.…

A: Kruskal's Algorithm : Steps of the algorithm, Sort all edges in increasing order of their edge…

Q: 5) Find the minimum spanning tree of the following graph using Kruskal's algorithm. All steps of the…

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Q: (3) All parts of this question refer to the following graph: 20% A shossa В (i) How many bridges are…

A: Bridges: We know that a Graph is formed by V vertices and E edges. When an edge in a graph is…

Heuristic System

The term heuristic is derived from the Greek word heurisko, which means “I find, discover”. Heuristics can be mental shortcuts or approaches designed from previous experiences. The main aim of the heuristic approach is to find a good enough solution to solve the problem. Test and mistake, rule of thumb, or an educated estimate are all examples of heuristics. These methods are sufficient for achieving an immediate, brief aim. When a heuristic is used in practice, it works as predicted. It can, however, produce systematic errors. Trial and error is an important heuristic that may be used in a variety of situations, from cross-linking nuts and bolts to determining the values of given input variables in mathematical puzzles. Additional hypotheses, visual illustrations, simplification, and forward or backward reasoning are all common heuristics in mathematics.