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Graphs are propular to visualize a problem . Matrix representation is use to convert the graph in a form that used by the computer . This will help to get the efficent solution also provide a lots of mathematical equation .
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Abstract Graph theory is a delightful playground for the exploration of proof techniques in almost all fields of mathematics. Here in this paper let us see its practical application to a switching network. Suppose we are given a box that contain a switching network consisting of some switches and they can be turned on or off from outside, we determine how the switches are connected inside the box, without opening the box, of course with the help of graph theory. Key words: Identity matrix, redundant circuit, construction of a graph, switching network, orthogonal matrices, ring sum.
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