The Wiener index of a graph, which is the sum of the distances between all pairs of vertices, has been well studied. Recently, Sills and Wang in 2012 proposed two conjectures on the maximal Wiener index of trees with a given degree sequence. This note proves one of the two conjectures and disproves the other.
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Univ Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia
Univ Maribor, Fac Nat Sci & Math, Maribor, SloveniaUniv Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia
Klavzar, Sandi
Rho, Yoomi
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Univ Incheon, Dept Math, Inchon, South KoreaUniv Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia
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Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Feng, Lihua
Zhu, Xiaomin
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Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Zhu, Xiaomin
Liu, Weijun
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Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Nantong Univ, Sch Sci, Nantong 226019, Jiangsu, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
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Hefei Univ Technol, Sch Math, Hefei 230000, Anhui, Peoples R ChinaHefei Univ Technol, Sch Math, Hefei 230000, Anhui, Peoples R China
Jiang, Hui
Li, Wenjing
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North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Henan, Peoples R ChinaHefei Univ Technol, Sch Math, Hefei 230000, Anhui, Peoples R China
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Univ Kragujevac, Fac Sci, Kragujevac, Serbia
King Abdulaziz Univ, Dept Chem, Fac Sci, Jeddah 21589, Saudi ArabiaUniv Kragujevac, Fac Sci, Kragujevac, Serbia
Gutman, Ivan
Cruz, Roberto
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Univ Antioquia, Inst Matemat, Medellin, ColombiaUniv Kragujevac, Fac Sci, Kragujevac, Serbia
Cruz, Roberto
Rada, Juan
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Univ Antioquia, Inst Matemat, Medellin, ColombiaUniv Kragujevac, Fac Sci, Kragujevac, Serbia
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaSouth China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Guo, Haiyan
Zhou, Bo
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaSouth China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Zhou, Bo
Lin, Hongying
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaSouth China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China