https://doi.org/10.1140/epjp/s13360-024-05127-w
Regular Article
Some new version of resistance distance-based topological indices of complete bipartite networks
1
Department of Mathematics, University of Sialkot, 51310, Sialkot, Pakistan
2
Department of Mathematical Sciences, Karakoram International University Gilgit, 15100, Gilgit, Pakistan
Received:
5
March
2024
Accepted:
22
March
2024
Published online:
26
April
2024
Bipartite networks, also known as two-mode networks, are those in which nodes are separated into two disjoint sets and edges only connect nodes in different sets. These networks have numerous applications across different domains. For instance, in particle physics, bipartite networks are used to represent particle interactions and the detectors that observe them. Each set of nodes can represent a variety of particles and detectors, while edges indicate interactions or detections. These networks aid in understanding particle interactions, tracking particles, and optimizing detector design. An electrical network may be viewed as a graph with nodes and links. If the edges are replaced by resistors of resistance 1 (ohm), then resistance distance between two nodes within a connected network is characterized as the overall effective resistance linking them. This work derives some new version of resistance-based indices (
) of a complete bipartite network. These recently introduced indices are helpful in the analysis of electrical networks.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
