University of KashanIranian Journal of Mathematical Chemistry2228-64895Supplement 120141201The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs715685810.22052/ijmc.2014.6858ENZ. MehranianDepartment of Mathematics, University of Qom, Qom, IranJournal Article20140604The k-th semi total point graph of a graph G, , is a graph obtained from G by adding k vertices corresponding to each edge and connecting them to the endpoints of edge considered. In this paper, a formula for Laplacian polynomial of in terms of characteristic and Laplacian polynomials of G is computed, where is a connected regular graph.The Kirchhoff index of is also computed.http://ijmc.kashanu.ac.ir/article_6858_49f40547a27c813e453cdcfff61b24ed.pdf