Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 2 1 2017 06 01 Peripheral Wiener Index of a Graph 43 56 13596 10.22049/cco.2017.13596 EN Kishori P Narayankar Mangalore University Lokesh S B Mangalore University Journal Article 2016 05 28 The eccentricity of a vertex $v$ is the maximum distance between $v$ and any other vertex. A vertex with maximum eccentricity is called a peripheral vertex. The peripheral Wiener index $ PW(G)$ of a graph $G$ is defined as the sum of<br />the distances between all pairs of peripheral vertices of $G.$ In this paper, we initiate the study of the peripheral Wiener index and we investigate its basic properties. In particular, we determine the peripheral Wiener index of the cartesian product of two graphs and trees. https://comb-opt.azaruniv.ac.ir/article_13596_983abceb15410e89528e5fcbb919dade.pdf