Electric Circuits and Networks

17.13 SUMMARY

• The study of topological properties of a network employing a branch of Mathematics called Linear Graph Theory is termed Network Topology.
• An oriented linear graph is a collection of nodes and branches with branches interconnecting the nodes. A direction is assigned to each branch. The interconnection information for such a graph is contained in its all incidence matrix A_a. The rows of A correspond to the nodes and the columns of A_a correspond to the branches. The entry a_ij is +1, if the j^th branch is incident at the i^th node with its orientation away from the node; – 1, if the orientation is towards the node and 0 if the j^th branch is not incident at the i^th node.
• Order of A_a is n X b, where n is the number of nodes and b is the ...