The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs
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Abstract:
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.
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Journal title
volume 5 issue Supplement 1
pages 7- 15
publication date 2014-12-01
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