Algorithmic techniques for finding resistance distances on structured graphs

In this paper, we give a survey of methods used to calculate values resistance distance (also known as effective resistance) in graphs. Resistance has played prominent role not only circuit theory and chemistry, but also combinatorial matrix spectral graph theory. Moreover applications ranging from quantifying biological structures, distributed control systems, network analysis, power grid systems. discuss both exact techniques approximate for each method discussed provide an illustrative example. We present some open questions conjectures.