The graph of a network has 8 nodes and 5 independent loops. The number of branches of the graph is

The graph associated with an electrical has 7 branches and 5 nodes. The number of independent KCL equations and the number of independent KVL equations, respectively, are        

The number of chords in the graph of the given circuit will be  

The matrix A given below is the node incidence matrix of a network. The columns correspond to branches of the network while the rows correspond to nodes.  Let denote the vector of branch voltages while that of branch currents. The vector denotes the vector of node voltages relative to a common ground.

Which of the following statements is true?

The graph of an electrical network has N nodes and B branches. The number of links, L, with respect to the choice of a tree, is given by

A connected network of N > 2 nodes has at most one branch directly connecting any pair of nodes. The graph of the network

Figure shown a, d, c resistive network and its graph is drawn aside. A ‘proper tree’ chosen for analyzing the network will contain the edges.