The 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.
Extended Abstracts of the 6th Conference and Workshop on Mathematical Chemistry, Persian Gulf University, Bushehr, February 13 - 14, 2013 (Ed. M. Mogharrab)
Mehranian, Z. (2014). The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs. Iranian Journal of Mathematical Chemistry, 5(Supplement 1), 7-15. doi: 10.22052/ijmc.2014.6858
MLA
Z. Mehranian. "The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs", Iranian Journal of Mathematical Chemistry, 5, Supplement 1, 2014, 7-15. doi: 10.22052/ijmc.2014.6858
HARVARD
Mehranian, Z. (2014). 'The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs', Iranian Journal of Mathematical Chemistry, 5(Supplement 1), pp. 7-15. doi: 10.22052/ijmc.2014.6858
VANCOUVER
Mehranian, Z. The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs. Iranian Journal of Mathematical Chemistry, 2014; 5(Supplement 1): 7-15. doi: 10.22052/ijmc.2014.6858