The Laplacian polynomial and Kirchhoff index of graphs based on R-graphs
نویسندگان
چکیده
منابع مشابه
The Laplacian Polynomial and Kirchhoff Index of the k-th Semi Total Point Graphs
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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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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Let G be a simple connected graph with n ≤ 2 vertices and m edges, and let μ1 ≥ μ2 ≥...≥μn-1 >μn=0 be its Laplacian eigenvalues. The Kirchhoff index and Laplacian-energy-like invariant (LEL) of graph G are defined as Kf(G)=nΣi=1n-1<...
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ژورنال
عنوان ژورنال: Neurocomputing
سال: 2016
ISSN: 0925-2312
DOI: 10.1016/j.neucom.2015.11.060