Test: Tree and Co-Tree


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10 Questions MCQ Test Network Theory (Electric Circuits) | Test: Tree and Co-Tree

Test: Tree and Co-Tree for Electrical Engineering (EE) 2022 is part of Network Theory (Electric Circuits) preparation. The Test: Tree and Co-Tree questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Test: Tree and Co-Tree MCQs are made for Electrical Engineering (EE) 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Tree and Co-Tree below.
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Test: Tree and Co-Tree - Question 1

A graph is said to be a directed graph if ________ of the graph has direction.

Detailed Solution for Test: Tree and Co-Tree - Question 1

If every branch of the graph has direction, then the graph is said to be a directed graph. If the graph does not have any direction then that graph is called undirected graph.

Test: Tree and Co-Tree - Question 2

If no two branches of the graph cross each other, then the graph is called?

Detailed Solution for Test: Tree and Co-Tree - Question 2

If a graph can be drawn on a plane surface such that no two branches of the graph cross each other, then the graph is called planar graph.

Test: Tree and Co-Tree - Question 3

Number of twigs in a tree are? (where, n-number of nodes)

Detailed Solution for Test: Tree and Co-Tree - Question 3

Twig is a branch in a tree. Number of twigs in a tree are n - 1. If there are 4 nodes in a tree then number of possible twigs are 3.

Test: Tree and Co-Tree - Question 4

If the incident matrix of a graph is given below. The corresponding graph is?

Detailed Solution for Test: Tree and Co-Tree - Question 4

 For the given incidence matrix,

the corresponding graph is

considering the directions specified in the graph.

Test: Tree and Co-Tree - Question 5

If a graph consists of 5 nodes, then the number of twigs in the tree is?

Detailed Solution for Test: Tree and Co-Tree - Question 5

Number of twigs = n-1. As given number of nodes are 5 then n = 5. On substituting in the equation, number of twigs = 5 -1 = 4.

Test: Tree and Co-Tree - Question 6

If there are 4 branches, 3 nodes then number of links in a co-tree are?

Detailed Solution for Test: Tree and Co-Tree - Question 6

Number of links = b - n + 1. Given number of branches = 4 and number of nodes = 3. On substituting in the equation, number of links in a co-tree = 4 – 3 + 1 = 2.

Test: Tree and Co-Tree - Question 7

If A represents incidence matrix, I represents branch current vectors, then?

Detailed Solution for Test: Tree and Co-Tree - Question 7

If A represents incidence matrix, I represents branch current vectors, then the relation is AI= 0 that is its characteristic equation must be equated to zero

Test: Tree and Co-Tree - Question 8

Loops which contain only one link are independent are called?

Detailed Solution for Test: Tree and Co-Tree - Question 8

The addition of subsequent link forms one or more additional loops. Loops that contain only one link are independent are called basic loops.

Test: Tree and Co-Tree - Question 9

Consider the graph given below. Which of the following is a not a tree to the graph?

Detailed Solution for Test: Tree and Co-Tree - Question 9

Tree is sub graph which consists of all node of original graph but no closed paths. So, ‘d’ is not a tree to the graph.

Test: Tree and Co-Tree - Question 10

The number of branches incident at the node of a graph is called?

Detailed Solution for Test: Tree and Co-Tree - Question 10

Nodes can be incident to one or more elements. The number of branches incident at the node of a graph is called degree of the node.

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