13. Graph Topoligical Sorting

Descrição

Algorithms and Data Structures | Test 3 Review | CSCI-3110-002 MTSU
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Resumo de Recurso

Questão 1

Questão
a topological sort can be done on a cyclic graph.
Responda
  • True
  • False

Questão 2

Questão
Select the correct definition. Topological sorting:
Responda
  • A) Given a cyclic digraph find a linear ordering of vertices such that for all edges (v, w) in E, v procedes w in the ordering.
  • B) Given an acyclic undirected graph find a linear ordering of nodes such that for all vertices (v, w) in E, v proceeds w in the ordering
  • C) Given an acyclic digraph find a quadratic ordering of nodes such that for all edges (v, w) in E, v proceeds w in the ordering.
  • D) Given an acyclic digraph find a linear ordering of nodes such that for all edges (v, w) in E, v proceeds w in the ordering.

Questão 3

Questão
What is Topological Sorting?
Responda
  • It is finding an ordering of an acyclic graph such that all edges proceed in order.
  • none of the above

Questão 4

Questão
What is not part of algorithm for topological graph?
Responda
  • A. make a copy of the diagram
  • B.make a list l
  • C.make a q list
  • D.none of the above

Questão 5

Questão
Any linear ordering of all of the vertices in which all the arrows go to the right is a valid solution. The statemen is an example of:
Responda
  • A.Big o notation
  • B.Ascending
  • C.Topological
  • D.Descending

Questão 6

Questão
In the topological algorithm once you select a vertex V with an out outdegree of 0, where do you place the V in the list?
Responda
  • A) to the front of the list
  • B) the end of the list
  • C) the middle of the list

Questão 7

Questão
The algorithm for topological sorting includes
Responda
  • a. making a copy of the graph
  • b. initializing a list
  • c. selecting a vertex with an out degree of 0
  • d. all of the above.

Questão 8

Questão
What is any linear ordering of all of the verticies of a graph in which all the arrows go to the right is a valid solution?
Responda
  • A) Topological Sorting
  • B) Top-Down Sorting
  • C) Quick Sorting
  • D) None of the above

Questão 9

Questão
Any linear Ordering of all vertices where all the arrows point to the left is a valid solution
Responda
  • True
  • False

Questão 10

Questão
In order to perform a topilogical sort, the graph must be:
Responda
  • A. Cyclic
  • B. Acyclic
  • C. A tree
  • D. None of the above

Questão 11

Questão
For any given directed acyclic graph, there could be ______ valid topological sorts.
Responda
  • A. only one
  • B. only two
  • C. many
  • D. none - topological sorts only work in cyclic graphs

Questão 12

Questão
In an example of topological orders, which of the following is correct?
Responda
  • A. any nonlinear ordering of all of the vertices in which all the arrows go to the right
  • B. any linear ordering of all of the vertices in which all the arrows go to the right
  • C. any linear ordering of all of the vertices in which all the arrows go to the left
  • D. any linear ordering of all of the vertices in which all the arrows are static

Questão 13

Questão
Is topological sorting possible if and only if the graph has no directed cycles?
Responda
  • True
  • False

Questão 14

Questão
Is the example topological orders true or false? Any linear ordering of all of the vertices in which all the arrows go to the right is a valid solution.
Responda
  • True
  • False

Questão 15

Questão
Given this sudo-method: list digraph::topoSort() { // make a copy of digraph G // make a list l // for each vertex in G // select a vertex v with an outdegree of 2 // add v to the front of l // delete v and it's edges from the digraph } What is the problem with this method?
Responda
  • When selecting a vertex to add to the sorted list, you must select a vertex with an outdegree of 0.
  • none of the above

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