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Peripheral Wiener Index of a Graph | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 5، دوره 2، شماره 1، شهریور 2017، صفحه 43-56 اصل مقاله (481.44 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2017.13596 | ||
| نویسندگان | ||
| Kishori P Narayankar* ؛ Lokesh S B | ||
| Mangalore University | ||
| چکیده | ||
| 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 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. | ||
| کلیدواژه‌ها | ||
| Distance (in Graphs)؛ Wiener Index؛ Peripheral Wiener Index | ||
| مراجع | ||
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