University of KashanIranian Journal of Mathematical Chemistry2228-648911320200901Extremal polygonal cacti for Wiener index and Kirchhoff index20121111082610.22052/ijmc.2020.225271.1497ENMingyaoZengHunan Normal UniversityQiqiXiaoHunan Normal UniversityZikaiTangHunan Normal UniversityHanyuanDengHunan Normal University0000-0003-1680-2473Journal Article20200402For a connected graph G, the Wiener index W(G) of G is the sum of the distances of all pairs of vertices, the Kirchhoff index Kf(G) of G is the sum of the resistance distances of all pairs of vertices. A k-polygonal cactus is a connected graph in which the length of every cycle is k and any two cycles have at most one common vertex. In this paper, we give the maximum and minimum values of the Wiener index and the Kirchhoff index for all k-polygonal cacti with n cycles and determine the corresponding extremal graphs, generalize results of spiro hexagonal chains with n hexagons.https://ijmc.kashanu.ac.ir/article_110826_2ae4da0c6956fe01eeb564966aaa42c3.pdf