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[1]李树立.树的Zagreb指标的上界[J].厦门大学学报(自然科学版),2018,57(04):536-538.[doi:10.6043/j.issn.0438-0479.201801012]
　LI Shuli.Upper Bound of the Zagreb Index of Trees[J].Journal of Xiamen University(Natural Science),2018,57(04):536-538.[doi:10.6043/j.issn.0438-0479.201801012]
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《厦门大学学报（自然科学版）》[ISSN:0438-0479/CN:35-1070/N]

卷:
57卷
期数:
2018年04期
页码:
536-538
栏目:
研究论文
出版日期:
2018-07-31

文章信息/Info

Title:
Upper Bound of the Zagreb Index of Trees
文章编号:
0438-0479(2018)04-0536-03
作者:
李树立
泉州师范学院数学与计算机科学学院,福建 泉州 362000
Author(s):
LI Shuli
School of Mathematical and Computer Sciences,Quanzhou Normal University,Quanzhou 362000,China
关键词:
Zagreb指标;  树;  最大度
Keywords:
Zagreb index;  tree;  maximum degree
分类号:
O 157.5
DOI:
10.6043/j.issn.0438-0479.201801012
文献标志码:
A
摘要:
研究树的Zagreb指标,得到了给定阶及最大度的树的第一类Zagreb 指标的上界,证明了所得到的上界优于Das等人给出的上界.
Abstract:
The Zagreb index of trees will be studied and an upper bound of the first Zagreb index of trees with given orders and maximum degrees will be obtained in this paper.It is also proved that this upper bound is more superior than that reported by Das et al.

参考文献/References:

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[5] NIKOLIC ’ S,KOVACˇEVIC ’ G,MILICˇEVIC ’ A,et al.The Zagreb indices 30 years after[J].Croat Chem Acta,2003,76(2):113-124.
[6] ZHOU B,GUTMAN I.Further properties of Zagreb indices[J].Match Commun Math Comput Chem,2005,54:233-239.
[7] FATH-TABAR G H.Old and new Zagreb indices of graphs[J].Match Commun Math Comput Chem,2011,65:79-84.
[8] ANDOVA V,BOGOEV S,DIMITROV D,et al.On the Zagreb index inequality of graphs with prescribed vertex degrees[J].Discrete Appl Math,2011,159(8):852-858.
[9] DENG H,SARALA D,AYYASWAMY S K,et al.The Zagreb indices of four operations on graphs[J].Appl Math Comput,2016,275:422-431.
[10] DAS K C,GUTMAN I,HOROLDAGVA B.Comparing Zagreb Indices and Coindices of Trees[J].Match Commun Math Comput Chem,2012,68:189-198.

备注/Memo

备注/Memo:
收稿日期:2018-01-02 录用日期:2018-05-07
基金项目:国家自然科学基金(11701324); 福建省中青年教师教育科研项目(JAT170473); 泉州师范学院青年博士预研基金(2016QBKJ02).
Email:lishuli198710@163.com
引文格式:李树立.树的Zagreb指标的上界[J].厦门大学学报(自然科学版),2018,57(4):536-538.
Citation:LI S L.Upper bound of the Zagreb index of trees[J].J Xiamen Univ Nat Sci,2018,57(4):536-538.(in Chinese)
更新日期/Last Update: 1900-01-01