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- W3142370009 abstract "The Wiener index W(G) of a connected graph G is defined as the sum of distances between all unordered pairs of vertices of G. As a variation of the Wiener index, the reverse Wiener index of G is defined as Λ(G) = 1 2n(n − 1)d − W(G), where n is the number of vertices, and d is the diameter of G. It is known that the star is the unique n-vertex tree with the smallest reverse Wiener index. We now determine the second and the third smallest reverse Wiener indices of n-vertex trees, and characterize the trees whose reverse Wiener indices attain these values for n ≥ 5." @default.
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- W3142370009 date "2012-01-01" @default.
- W3142370009 modified "2023-09-26" @default.
- W3142370009 title "Ordering trees having small reverse Wiener indices" @default.
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