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Network Analysis
Graph Theory

Practice questions from Graph Theory.

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Q#1 Graph Theory GATE EC 2008 (Set 1) MCQ +1 mark -0.33 marks

In the following graph, the number of trees (P) and the number of cut-sets (Q) are  

1.jpg

P=2, Q=2

P=2, Q=6

P=4, Q=6

P=4, Q=10

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Q#2 Graph Theory GATE EC 2004 (Set 1) MCQ +1 mark -0.33 marks

Consider the network graph shown in figure. Which one of the following is NOT a ‘tree’ of this graph?

2.jpg

3.jpg

4.jpg

5.jpg

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Q#3 Graph Theory GATE EC 1999 (Set 1) MCQ +1 mark -0.33 marks

Identify which of the following is NOT a tree of the graph shown in Figure

1.jpg

begh

defg

adhg

aegh

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Q#4 Graph Theory GATE EC 1998 (Set 1) MCQ +1 mark -0.33 marks

A network has 7 nodes and 5 independent loops. The number of branches in the network is

13

12

11

10

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Q#5 Graph Theory GATE EC 1996 (Set 1) MCQ +1 mark -0.33 marks

The number of independent loops for a network with n nodes and b branches is

Independent of the number of nodes

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Q#6 Graph Theory GATE EC 1992 (Set 1) MCQ +2 marks -0.66 marks

Relative to a given fixed tree of a network,

Link currents form an independent set

Branch voltage from an independent set

Link currents from an dependent set

Branch voltage from an independent set

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