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.
机构:
School of Mathmatics and Computation Sciences, Anqing Normal University
Basic Department, Hefei Preschool Education CollegeSchool of Mathmatics and Computation Sciences, Anqing Normal University
YU Gui-dong
REN Li-fang
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School of Mathmatics and Computation Sciences, Anqing Normal UniversitySchool of Mathmatics and Computation Sciences, Anqing Normal University
REN Li-fang
LI Xing-xing
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School of Mathmatics and Computation Sciences, Anqing Normal UniversitySchool of Mathmatics and Computation Sciences, Anqing Normal University
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Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Hefei Presch Educ Coll, Basic Dept, Hefei 230013, Anhui, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Yu, Gui-dong
Ren, Li-fang
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Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
Ren, Li-fang
Li, Xing-xing
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Anqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R ChinaAnqing Normal Univ, Sch Math & Computat Sci, Anqing 246133, Peoples R China
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Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
Fac Informat Studies, Novo Mesto 8000, SloveniaSlovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
Knor, Martin
Skrekovski, Riste
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Fac Informat Studies, Novo Mesto 8000, Slovenia
Univ Prirnorska, FAMNIT, Koper 6000, Slovenia
Univ Ljubljana, Fac Math & Phys, Ljubljana 1000, SloveniaSlovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
Skrekovski, Riste
Tepeh, Aleksandra
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Fac Informat Studies, Novo Mesto 8000, Slovenia
Univ Maribor, Fac Elect Engn & Comp Sci, Maribor 2000, SloveniaSlovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia