Abstract

In the present chapter, an electrical network is considered as an interconnection of resistors. We demonstrate that random walks defined on connected undirected graphs have a profound connection to electric resistor networks (Doyle and Snell 1984; Tetali 1991; Chandra et al. 1996; Bollobas 1998). In the present chapter, we discuss the effective resistance of electrical networks, the relation between the shortest path (geodesic) distance and the effective resistance distance, Kirchhoff and Wiener indexes of a graph.KeywordsRandom WalkProbabilistic InterpretationWiener IndexEffective ResistanceCommute TimeThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.