31.  For an undirected graph G with n vertices and e edges, the sum of the degrees of each vertex is 
a.  ne 
b.  2n 
c.  2e 
d.  e^n 
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Answer: (c).2e

32.  A complete graph can have ............... 
a.  n^2 spanning trees 
b.  n^(n2) spanning trees 
c.  n^(n+1) spanning trees 
d.  n^n spanning trees 
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Answer: (b). n^(n2) spanning trees

33.  Graph traversal is different from a tree traversal, because: 
a.  trees are not connected 
b.  graphs may have loops 
c.  trees have root 
d.  None of these 
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Answer: (c).trees have root

34.  The number of edges in a simple, nvertex, complete graph is 
a.  n*(n2) 
b.  n*(n1) 
c.  n*(n1)/2 
d.  n*(n1)*(n2) 
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Answer: (c).n*(n1)/2

35.  Graphs are represented using ............ 
a.  Adjacency tree 
b.  Adjacency linked list 
c.  Adjacency graph 
d.  Adjacency queue 
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Answer: (b).Adjacency linked list

36.  The spanning tree of connected graph with 10 vertices contains .............. 
a.  9 edges 
b.  11 edges 
c.  10 edges 
d.  9 vertices 
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Answer: (a).9 edges

37.  If locality is a concern, you can use ................ to traverse the graph. 
a.  Breadth First Search 
b.  Depth First Search 
c.  Either BFS or DFS 
d.  None of these 
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Answer: (b).Depth First Search

38.  Which of the following algorithms solves the allpair shortest path problem? 
a.  Floyd's algorithm 
b.  Prim's algorithm 
c.  Dijkstra's algorithm 
d.  Warshall's algorithm 
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Answer: (a).Floyd's algorithm

39.  The minimum number of colors needed to color a graph having n (>3) vertices and 2 edges is 
a.  1 
b.  2 
c.  3 
d.  4 
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Answer: (b).2

40.  Which of the following is useful in traversing a given graph by breadth first search? 
a.  set 
b.  List 
c.  stacks 
d.  Queue 
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Answer: (d).Queue
