• Journal of Applied and Pure Mathematics
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• v.4 no.5_6
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• pp.249-262
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• 2022

Nowadays, it is an important task to find extremal values on any molecular descriptor with respect to different graph parameters. The Sombor index is a novel topological molecular descriptor introduced by Gutman in 2021. The research on determining extremal values for the Sombor index of a graph is very popular recently. In this paper, we present the maximum Sombor index of bicyclic graphs with given matching number. Furthermore, we identify the corresponding extremal bicyclic graphs.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.3
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• pp.205-225
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• 2022

In this paper, we derive analytical closed results for the first (a, b)-KA index, the Sombor index, the modified Sombor index, the first reduced (a, b)-KA index, the reduced Sombor index, the reduced modified Sombor index, the second reduced (a, b)-KA index and the mean Sombor index mSO_α for the OTIS biswapped networks by considering basis graphs as path, wheel graph, complete bipartite graph and r-regular graphs. Network theory plays a significant role in electronic and electrical engineering, such as signal processing, networking, communication theory, and so on. A topological index (TI) is a real number associated with graph networks that correlates chemical networks with a variety of physical and chemical properties as well as chemical reactivity. The Optical Transpose Interconnection System (OTIS) network has recently received increased interest due to its potential uses in parallel and distributed systems.