The resistance between two nodes in some resistor networks has been studied extensively by mathematicians and physicists. Let $L_n$ be a linear hexagonal chain with $n$ 6-cycles. Then identifying the opposite lateral edges of $L_n$ in an ordered way yields the linear hexagonal cylinder chain, written as $R_n$. We obtain explicit formulae for the resistance distance $r_{L_n}(i,j)$ (resp. $r_{R_n}(i,j)$) between any two vertices $i$ and $j$ of $L_n$ (resp. $R_n$). One may see that ${\left\{L_n\right\}}_{n=1}^{\infty }$ and ${\left\{R_n\right\}}_{n=1}^{\infty }$ are two nontrivial families with diameter going to $\infty$ for which all resistance distances have been explicitly calculated. We determine the maximum and the minimum resistance distances in $L_n$ (resp. $R_n$). The monotonicity and some asymptotic properties of resistance distances in $L_n$ and $R_n$ are given. As well we give formulae for the Kirchhoff indices of $L_n$ and $R_n$ respectively.

数学家和物理学家已经对某些电阻器网络中两个节点之间的电阻进行了广泛的研究。让${\mathrm{大号}}_{ñ}$ 是线性六边形链 $ñ$6个周期。然后确定${\mathrm{大号}}_{ñ}$ 以有序的方式产生线性六边形圆柱链，写为 ${\mathrm{[R}}_{ñ}$。我们获得了电阻距离的明确公式${\mathrm{[R}}_{{\mathrm{大号}}_{ñ}}（\mathrm{一世}，Ĵ）$ （分别 ${\mathrm{[R}}_{{\mathrm{[R}}_{ñ}}（\mathrm{一世}，Ĵ）$）在任何两个顶点之间 $\mathrm{一世}$ 和 $Ĵ$ 的 ${\mathrm{大号}}_{ñ}$ （分别 ${\mathrm{[R}}_{ñ}$）。可能会看到${\left\{{\mathrm{大号}}_{ñ}\right\}}_{ñ=\mathrm{1个}}^{\infty }$ 和 ${\left\{{\mathrm{[R}}_{ñ}\right\}}_{ñ=\mathrm{1个}}^{\infty }$ 是两个非平凡的家庭，直径 $\infty$已明确计算所有电阻距离。我们确定最大和最小电阻距离${\mathrm{大号}}_{ñ}$ （分别 ${\mathrm{[R}}_{ñ}$）。电阻距离的单调性和渐近性质。${\mathrm{大号}}_{ñ}$ 和 ${\mathrm{[R}}_{ñ}$给出。我们还给出了基尔霍夫指数的公式${\mathrm{大号}}_{ñ}$ 和 ${\mathrm{[R}}_{ñ}$ 分别。