Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 Articles in Press 2025 05 12 Topological properties of OTIS bijective connection graphs 14944 10.22049/cco.2025.29342.1950 EN Paul Immanuel School of Advanced Sciences, Vellore Institute of Technology, Chennai, 600 127, India Berin Greeni School of Advanced Sciences, Vellore Institute of Technology, Chennai, 600 127, India Journal Article 2024 01 09 In the ever-evolving landscape of parallel computing architectures, the demand for innovative interconnection networks is paramount. This paper introduces Optical Transpose Interconnection System (OTIS) - Bijective connection graphs, a subclass of interconnection network designed to address the challenges on scalability, efficiency, and fault tolerance. By merging the strengths of networks, namely, OTIS networks and Bijective connection graphs (BC graphs in brief), we aim to overcome the limitations inherent in individual architectures. This paper presents a comprehensive analysis of Optical Transpose Interconnection System - Bijective connection graphs. We demonstrate superiority over traditional interconnection networks, showcasing their potential to emerge as an interesting candidate for parallel computing.<br />Precisely, in this work, we compute few basic graph theoretical parameters, explored the embedding properties, solved the edge isoperimetric problem, and many associated properties of the proposed class of network. https://comb-opt.azaruniv.ac.ir/article_14944_3f5baf8418e643b401b5b40cf5165630.pdf