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If we apply the depth-first-search, tie-breaking alphabetically, method we obtain (use the numbers 1, 2, 3, 4 to select your option):  {a, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {d, h} {a, e}, {a, b}, {b, c}, {c, d}, {d, h}, {g, h}, {c, f} {a, e}, {b, e}, {c, e}, {c, f}, {c, d}, {c, g}, {d, h}  {b, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {g, h}

If we apply the depth-first-search, tie-breaking alphabetically, method we obtain (use the numbers 1, 2, 3, 4 to select your option):  {a, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {d, h} {a, e}, {a, b}, {b, c}, {c, d}, {d, h}, {g, h}, {c, f} {a, e}, {b, e}, {c, e}, {c, f}, {c, d}, {c, g}, {d, h}  {b, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {g, h}

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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If we apply the depth-first-search, tie-breaking alphabetically, method we obtain (use the numbers 1, 2, 3, 4 to select your option): 

  1. {a, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {d, h}
  2. {a, e}, {a, b}, {b, c}, {c, d}, {d, h}, {g, h}, {c, f}
  3. {a, e}, {b, e}, {c, e}, {c, f}, {c, d}, {c, g}, {d, h} 
  4. {b, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {g, h}

If we apply the breadth-first-search method, tie-breaking alphabetically, we obtain (use the numbers 1, 2, 3, 4 to select your option): 

  1. {a, e}, {b, e}, {c, e}, {e, f}, {c, d}, {c, g}, {d, h} 
  2. {a, b}, {a, e}, {b, c}, {c, f}, {c, d}, {c, g}, {d, h} 
  3. {b, e}, {a, b}, {b, c}, {c, f}, {c, g}, {c, d}, {g, h}
  4. {a, e}, {b, e}, {c, e}, {e, f}, {c, d}, {d, h}, {g, h}

 

Consider a weighted version of the graph. 

 

Find the minimum spanning tree using Prim’s algorithm starting from vertex e, tie-breaking alphabetically.

The list of edges of the spanning tree is (use the numbers 1, 2, 3, 4 to select your option): 

  1. {a, e}, {a, b}, {b, c}, {c, d}, {d, h}, {c, f}, {c, g}  
  2. {e, f}, {a, e}, {a, b}, {c, f}, {c, d}, {c, g}, {g, h}
  3. {e, f}, {a, e}, {c, e}, {c, d}, {a, b}, {d, h}, {g, h}
  4. {a, e}, {b, e}, {c, e}, {c, f}, {c, d}, {c, g}, {d, h}

 

Consider the graph below. We wish to find a spanning tree starting from e. Be sure to pay attention to the order in which the edges are chosen by each algorithm. (b a C (h) f) e
Transcribed Image Text:Consider the graph below. We wish to find a spanning tree starting from e. Be sure to pay attention to the order in which the edges are chosen by each algorithm. (b a C (h) f) e
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