Further results regarding the degree Kirchhoff index of graphs
نویسندگان
چکیده
منابع مشابه
Further Results regarding the Degree Kirchhoff Index of Graphs
Let G be a connected graph with vertex set V.G/. The degree Kirchhoff index of G is defined as S .G/D P fu;vg V.G/ d.u/d.v/R.u;v/, where d.u/ is the degree of vertex u, and R.u;v/ denotes the resistance distance between vertices u and v. In this paper we obtain some upper and lower bounds for the degree Kirchhoff index of graphs. We also obtain some bounds for the Nordhaus-Gaddum-type result fo...
متن کاملnote on degree kirchhoff index of graphs
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 grap...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2014
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2014.781