TY - JOUR
ID - 102017
TI - Topological Efficiency of Some Product Graphs
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Pattabiraman, Kannan
AU - Suganya, Tholkappian
AD - Annamalai University
Y1 - 2019
PY - 2019
VL - 10
IS - 3
SP - 269
EP - 278
KW - Wiener index
KW - topological efficiency index
KW - composite graph
DO - 10.22052/ijmc.2017.82177.1280
N2 - The topological efficiency index of a connected graph $G,$ denoted by $\rho (G),$ is defined as $\rho(G)=\frac{2W(G)}{\left|V(G)\right|\underline w(G)},$ where $\underline w(G)=\text { min }\left\{w_v(G):v\in V(G)\right\}$ and $W(G)$ is the Wiener index of $G.$ In this paper, we obtain the value of topological efficiency index for some composite graphs such as tensor product, strong product, symmetric difference and disjunction of two connected graphs. Further, we have obtained the topological efficiency index for a double graph of a given graph.
UR - https://ijmc.kashanu.ac.ir/article_102017.html
L1 - https://ijmc.kashanu.ac.ir/article_102017_57332d712f4df9e69475c3fdbbbe8a3c.pdf
ER -