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Higher Study | Network Theory | Network Topology (or) Graph Theory

Two networks are said to be dual when
A network has 8 branches and 4 independent loops. How many nodes are there in the network ? 
The number of links in the graph shown in the figure is
A network has 8 branches and 3 independent loops. How many nodes are there in the network?
A network graph with its tree shown by firm lines is given in the figure. The fundamental cut-set for tree-branch number 2 is
What will be the number of tie set currents in the given circuit?
What are the properties of a tree in a network graph? 1. It consists of all the nodes of the graph. 2. If the graph has N number of nodes, the tree will have (N – 1) branches. 3. There will be only one closed path in the tree.
A network has 4 nodes and 3 independent loops. What is the number of branches in the network?
Which one of the following contains lesser number of nodes than the original graph?
Considering the principle of duality, which of the following pair is INVALID dual pair?
Which of the following statements regarding tree are correct? (A) All the links of a tree together does not constitute the complement of the corresponding tree (B) A connected subgraph of a connected graph is a tree if there exist (n - 1) nodes of the group (C) A connected subgraph of a connected graph is a tree if there exist many paths between any pair of nodes in it (D) The number of terminal nodes of end vertices of every tree are atleast two (E) Every connected graph has atleast one tree Choose the correct answer from the options given below: (1) (A) and (B) only (2) (B) and (C) only (3) (B) and (D) only (4) (D) and (E) only
A graph in which at least one path (disregarding orientation) exists between any two nodes of the graph is a 
A point at which two or more circuit components like resistors, capacitor intersect is known as:
 Which of the following topologies gives highest reliability?
For a given fixed tree of a network, the following form an independent set: 1. Branch currents 2. Link voltages Which of the above is / are correct?
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