Minimal Harary Index of Graphs with Small Parameters
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作者:
Feng, Lihua
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机构:
Nantong Univ, Coll Sci, Nantong, Peoples R China
Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R ChinaNantong Univ, Coll Sci, Nantong, Peoples R China
Feng, Lihua
[1
,2
]
Lan, Yongxin
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机构:
Nankai Univ, Ctr Combinator, Tianjin, Peoples R ChinaNantong Univ, Coll Sci, Nantong, Peoples R China
Lan, Yongxin
[3
]
Liu, Weijun
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Nantong Univ, Coll Sci, Nantong, Peoples R China
Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R ChinaNantong Univ, Coll Sci, Nantong, Peoples R China
Liu, Weijun
[1
,2
]
Wang, Xia
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Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R ChinaNantong Univ, Coll Sci, Nantong, Peoples R China
Wang, Xia
[2
]
机构:
[1] Nantong Univ, Coll Sci, Nantong, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China
[3] Nankai Univ, Ctr Combinator, Tianjin, Peoples R China
Let G be a simple connected graph with vertex set V (G). The Harary index G is defined as H(G) = Sigma({u,v}subset of V(G)) 1/d(G)(u, v), where d(G)(u, v) is the distance between u and v. In this paper, we study the minimal Harary index of graphs with small graph parameters such as diameter, matching number and independence number. In many cases, we also determine the extremal graphs.
机构:
Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Feng, Lihua
Li, Ziyuan
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Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Li, Ziyuan
Liu, Weijun
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Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Liu, Weijun
Lu, Lu
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Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Lu, Lu
Stevanovic, Dragan
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Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
Serbian Acad Arts & Sci, Math Inst, Kneza Mihaila 36, Belgrade 11000, SerbiaCent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
机构:
Hunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R ChinaHunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China
Deng, Hanyuan
Balachandran, Selvaraj
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Univ Free State, Dept Math & Appl Math, Bloemfontein, South Africa
SASTRA Deemed Univ, Sch Arts Sci & Humanities, Dept Math, Thanjavur, IndiaHunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China
Balachandran, Selvaraj
Elumalai, Suresh
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Univ Haifa, Dept Math, IL-3498838 Haifa, IsraelHunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China
Elumalai, Suresh
Mansour, Toufik
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机构:
Univ Haifa, Dept Math, IL-3498838 Haifa, IsraelHunan Normal Univ, Coll Math & Stat, Changsha 410081, Hunan, Peoples R China
机构:
Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R ChinaHuaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R China
Hua, Hongbo
Wang, Maolin
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Huaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R ChinaHuaiyin Inst Technol, Fac Math & Phys, Huaian 223003, Jiangsu, Peoples R China