Bus topology performs a significant part for describing the data transfer from one end to another in a single direction, where one node performs as a source and another end performs as the destination. The complexity of utilizing the bus topology is if the cable in the network has an issue then the entire network will be shut down. Moreover, high network traffic will arise which decreases the network performance because all the information is transferred in a single cable. The bus topology issue is complex to enhance the normal process but mathematically it is simple to reconstruct the function. Therefore, in this research data transmission of the bus topology can be designed by a novel linear algebraic theory. Besides, the linear algebraic theory for bus topology is validated by the specific theorems and the rank of the matrix is estimated by the proper calculations. The proposed design of bus topology is created by the MATLAB platform. Moreover, the created bus topology is validated in the Local Area Network (LAN) application for data transmission. Consequently, the proposed theory is compared with the other conventional techniques and proven the reliability of the novel method. Besides, the proposed bus topology design in LAN is compared with other existing methods in terms of throughput, delay, and packet delivery ratio. Therefore the results proved that the proposed scheme can attain better performance than the other conventional techniques.
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