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15. Graph Spanning Tree
Descripción
Algorithms and Data Structures | Test 3 Review | CSCI-3110-002 MTSU
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mtsu
csci
3110
Test por
Mena Sargios
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hace casi 8 años
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Resumen del Recurso
Pregunta 1
Pregunta
How do you know if a connected undirected graph does not contain a cycle?
Respuesta
A connected undirected graph that has EXACTLY n-1 edges, with n being the number of nodes in the graph, cannot contain a cycle.
none
Pregunta 2
Pregunta
A connected undirected graph with 17 nodes has 20 edges. Is it a spanning tree? If so, why?
Respuesta
A) No.
B) Not enough information is presented to reach a conclusion.
C) Yes; any connected but undirected graph is a spanning tree.
D) Yes; a spanning tree is a connected graph with at least (N + 1) edges.
Pregunta 3
Pregunta
How do you get the minimum spanning tree?
Respuesta
Prim's Algorithm
none
Pregunta 4
Pregunta
What is a spanning tree?
Respuesta
A.graph that has two cycles
B.graph that has one cycle
C.graph that has no cycle
D.none of the above
Pregunta 5
Pregunta
What is a Spannning three?
Respuesta
A. Connected graph
B. Undirected graph without cycles
C. All the above.
Pregunta 6
Pregunta
What results from a Depth-First Search?
Respuesta
A) 2-3 Tree
B) Binary Tree
C) Balanced Binary Tree
D) Spanning Tree
Pregunta 7
Pregunta
A connected __ digraph with n vertices and ___ n-1 degrees ___ a cycle
Respuesta
a.directed, exactly, must contain ;undirected, more than, cannot contain
b.undirected, more than, must contain ;undirected, exactly, cannot contain
c.undirected, exactly, cannot contain ;directed, more than, must contain
d.directed, more than, must contain ;directed, exactly, cannot contain
e. None of the above
Pregunta 8
Pregunta
What aglorithm is used to find the minimum spanning tree for a graph?
Respuesta
A. Depth First Search
B. Bubble Sort
C. Dijkstra's Algorithm
D. Prim's Algorithm
Pregunta 9
Pregunta
Which of the following is NOT a way to find a spanning tree?
Respuesta
A. DFS
B. BFS
C. Prim's
D. Dijkstra's
Pregunta 10
Pregunta
Which of the following are correct concerning spanning trees?
Respuesta
A. all trees are graphs, but not all graphs are trees, and it is a connected, undirected graph without cycles
B. all trees are not graphs, but all graphs are trees, and it is a connected, undirected graph without cycles
C. all trees are graphs, but not all graphs are trees, and it is an unconnected, undirected graph without cycles
D. all trees are not graphs, but all graphs are trees, and it is an unconnected, undirected graph without cycles
Pregunta 11
Pregunta
A graph with that is not connected will not have a spanning tree?
Respuesta
True
False
Pregunta 12
Pregunta
A connected undirected graph that has n vertices and exactly n - 1 edges must contain at least one cycle.
Respuesta
True
False
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