ON M-POLYNOMIALS DEGREE BASED TOPOLOGICAL INDICES OF SOME OPTIMAL COST NETWORKS

The importance of networks can be very well considered by the role they have played in electronics and electrical engineering. The theories of mathematics are known to be emerged from in corporation of communicative theory and signal processing; The role of networking remains the same. Communication networks depends largely on the part played by the nodes as they have a very pivotal role. Apart from aforesaid points theory of graphs still stands high among all the research methodologies. We can say that Zagreb indices are the products of the concept of vertex degrees. M-Polynomials have a got a new dimensions from different chemical compounds that proved themselves result oriented in the indices related to topology. And there is no doubt in it that the results we got from the amalgamation of chemical compounds and networks associated themselves with various chemical properties and bioactivities. The article is supposed to give a considerable focus on the derivation of M-Polynomials for the Block Shift (BS) and Hierarchical Hypercube (HH) Networks. In addition to it, the indices based on topology and the degrees have been derived from M-Polynomial of BS and HH network. The last portion of the article presents tabulation and graphs in order to show the comparison of different M-Polynomials and indices related to topology of BS and HH networks