note on degree kirchhoff index of graphs
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abstract
the degree kirchhoff index of a connected graph $g$ is defined as the sum of the terms $d_i,d_j,r_{ij}$ over all pairs of vertices, where $d_i$ is the degree of the $i$-th vertex, and $r_{ij}$ the resistance distance between the $i$-th and $j$-th vertex of $g$. bounds for the degree kirchhoff index of the line and para-line graphs are determined. the special case of regular graphs is analyzed.
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Journal title:
transactions on combinatoricsPublisher: university of isfahan
ISSN 2251-8657
volume 2
issue 3 2013
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