TY - JOUR
T1 - Sharp Bounds for the General Sum-Connectivity Indices of Transformation Graphs
AU - Wang, Haiying
AU - Liu, Jia Bao
AU - Wang, Shaohui
AU - Gao, Wei
AU - Akhter, Shehnaz
AU - Imran, Muhammad
AU - Farahani, Mohammad R.
N1 - Publisher Copyright:
© 2017 Haiying Wang et al.
PY - 2017
Y1 - 2017
N2 - Given a graph G, the general sum-connectivity index is defined as χα(G)=uvE(G)dGu+dGvα, where dG(u) (or dG(v)) denotes the degree of vertex u (or v) in the graph G and α is a real number. In this paper, we obtain the sharp bounds for general sum-connectivity indices of several graph transformations, including the semitotal-point graph, semitotal-line graph, total graph, and eight distinct transformation graphs Guvw, where u,v,w+,-.
AB - Given a graph G, the general sum-connectivity index is defined as χα(G)=uvE(G)dGu+dGvα, where dG(u) (or dG(v)) denotes the degree of vertex u (or v) in the graph G and α is a real number. In this paper, we obtain the sharp bounds for general sum-connectivity indices of several graph transformations, including the semitotal-point graph, semitotal-line graph, total graph, and eight distinct transformation graphs Guvw, where u,v,w+,-.
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U2 - 10.1155/2017/2941615
DO - 10.1155/2017/2941615
M3 - Article
AN - SCOPUS:85042179804
SN - 1026-0226
VL - 2017
JO - Discrete Dynamics in Nature and Society
JF - Discrete Dynamics in Nature and Society
M1 - 2941615
ER -