Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)
11th Edition
ISBN: 9780134670942
Author: Y. Daniel Liang
Publisher: PEARSON
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Chapter 28.9, Problem 28.9.4CP
Program Plan Intro

Breadth first search (BFS):

Breadth first search is a traversing algorithm that uses the opposite procedure as depth-first search.

  • Both BFS traversal of a graph and a tree are same. Because in a tree, the root node is visited first and its children and then its grandchildren and so on.
  • Similarly, in a graph, vertex will be visited first and then its adjacent vertices are visited.
  • While traversing, if visited vertex is finding, then the algorithm skips that vertex and move on to the next.

Given graph:

Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition), Chapter 28.9, Problem 28.9.4CP

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Trace the Prim’s minimum spanning tree algorithm on the graph in Figure 1. Use vertex E as your start vertex.
I am struggling to draw a spanning tree using a depth-first when the following graph has a vertex A as the root and using alphabetical ordering.
Draw the minimum spanning tree for the following graph. Use induction to prove your result is a minimum spanning tree.

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Introduction to Java Programming and Data Structures, Comprehensive Version (11th Edition)

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