Biswapped Networks and Their Maximal Twin-Preserving Subgraphs With a Motivation on Connection Number in Network-Based Approaches

Abstract

The use of optoelectronic technology in Optical Transposition Interconnection Systems (OTIS) offers an effective solution to the ongoing problem of storing and sending data with comprehensive information. This is due to the reduced power requirements and broad bandwidth capabilities of optoelectronic systems, which make them well-suited for this task. The integration of radio communication and electrical technology has transformed OTIS into a highly valued network, enhancing the efficiency of existing optoelectronic computers. OTIS is characterized by the swapped network that is formed with the help of path graph $\mathfrak {P}_{m}$ and denoted as $B(\mathfrak {P}_{m})$ . This research work focused on certain topological invariants (TIs) about the number of connections between nodes of the graph $B(\mathfrak {P}_{m})$ and its largest subgraph that preserves twin nodes ( $M(B(\mathfrak {P}_{m}))$ ). First Zagreb connection index, geometric-arithmetic connection index, Randić connection index, reduced reciprocal Randić connection index, sum-connectivity connection index, first, second and third redefined Zagreb connection indices are considered in this work two types of biswapped and OTIS networks.

Keywords

• Biswapped network
• maximal twin-preserving subgraph
• connection number
• topological indices