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On a Conjecture on the Wiener Index of a Maximal Planar Graph

Published 30 Nov 2019 in math.CO | (1912.00128v4)

Abstract: We prove that the Wiener Index $W(G)$ of a Maximal Planar graph $G$ with $n$ vertices satisfies $W(G) \leq \Big{\lfloor} \frac{1}{18}(n3 + 3n2) \Big{\rfloor}$ for $3 \leq n \leq 18$.

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