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

翻译：在本文中,我们对图表中用于计算抗力距离值(也称为有效抗力)的方法进行了调查。抵抗力距离不仅在电路理论和化学方面,而且在组合矩阵理论和光谱图理论方面都发挥了突出的作用。此外,抵抗力距离的应用范围包括生物结构的量化、分布式控制系统、网络分析和电网系统。在本文中,我们讨论精确技术和近似技术,并就讨论的每一种方法提供了该技术的示例。我们还提出了一些开放的问题和推测。