Largest Wiener Index of Unicyclic Graphs with Given Bipartition
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作者:
Jiang, Hui
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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
[1
]
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
Li, Wenjing
[2
]
机构:
[1] Hefei Univ Technol, Sch Math, Hefei 230000, Anhui, Peoples R China
[2] North China Univ Water Resources & Elect Power, Sch Math & Stat, Zhengzhou 450046, Henan, Peoples R China
The Wiener index of a connected graph is the sum of distances between all unordered pairs of its vertices. In this paper, we first identify the graphs whose Wiener index is second largest among trees with given bipartition. Based on this result, the largest Wiener index of unicyclic graphs with given bipartition is determined and the corresponding extremal graphs are characterized.
机构:
King Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi ArabiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
Alfuraidan, Monther Rashed
Das, Kinkar Chandra
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Sungkyunkwan Univ, Dept Math, Suwon, South KoreaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
Das, Kinkar Chandra
Vetrik, Tomas
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Univ Free State, Dept Math & Appl Math, POB 339, ZA-9300 Bloemfontein, South AfricaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
Vetrik, Tomas
Balachandran, Selvaraj
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SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur, IndiaKing Fahd Univ Petr & Minerals, Dept Math & Stat, Dhahran, Saudi Arabia
机构:
Yangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R ChinaYangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R China
Sun, Qiang
Ikica, Barbara
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Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
Inst Math Phys & Mech, Ljubljana, SloveniaYangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R China
Ikica, Barbara
Skrekovski, Riste
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Univ Ljubljana, Fac Math & Phys, Ljubljana, Slovenia
Inst Math Phys & Mech, Ljubljana, Slovenia
Fac Informat Studies, Novo Mesto, SloveniaYangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R China
Skrekovski, Riste
Vukasinovic, Vida
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Jozef Stefan Inst, Ljubljana, SloveniaYangzhou Univ, Sch Math Sci, Yangzhou, Jiangsu, Peoples R China
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East China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R ChinaEast China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
Wang, Guangfu
Li, Shuchao
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机构:
Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Hubei, Peoples R ChinaEast China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
Li, Shuchao
Qi, Dongchao
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机构:
Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Hubei, Peoples R ChinaEast China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
Qi, Dongchao
Zhang, Huihui
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Luoyang Normal Univ, Dept Math, Luoyang 471002, Peoples R ChinaEast China Jiaotong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
机构:
Shandong Inst Business & Technol, Sch Math, Yantai 264005, Shandong, Peoples R ChinaShandong Inst Business & Technol, Sch Math, Yantai 264005, Shandong, Peoples R China
Yu, Guihai
Qu, Hui
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Shandong Inst Business & Technol, Sch Math, Yantai 264005, Shandong, Peoples R ChinaShandong Inst Business & Technol, Sch Math, Yantai 264005, Shandong, Peoples R China
Qu, Hui
Tang, Lang
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机构:
Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaShandong Inst Business & Technol, Sch Math, Yantai 264005, Shandong, Peoples R China
Tang, Lang
Feng, Lihua
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机构:
Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaShandong Inst Business & Technol, Sch Math, Yantai 264005, Shandong, Peoples R China
机构:
Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Jiangsu, Peoples R ChinaNanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Jiangsu, Peoples R China
Xu, Kexiang
Das, Kinkar Ch.
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机构:
Sungkyunkwan Univ, Dept Math, Suwon 440746, South KoreaNanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Jiangsu, Peoples R China
Das, Kinkar Ch.
Hua, Hongbo
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机构:
Huaiyin Inst Technol, Fac Math & Phys, Huaian, Jiangsu, Peoples R ChinaNanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Jiangsu, Peoples R China
Hua, Hongbo
Diudea, Mircea V.
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机构:
Univ Babes Bolyai, Fac Chem & Chem Engn, Cluj Napoca 400084, RomaniaNanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing, Jiangsu, Peoples R China
Diudea, Mircea V.
STUDIA UNIVERSITATIS BABES-BOLYAI CHEMIA,
2013,
58
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: 71
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