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Counter examples to a conjecture concerning harmonic index
被引:6
作者
:
Ali, Akbar
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Management & Technol, Dept Math, Sialkot, Pakistan
Univ Management & Technol, Dept Math, Sialkot, Pakistan
Ali, Akbar
[
1
]
机构
:
[1]
Univ Management & Technol, Dept Math, Sialkot, Pakistan
来源
:
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
|
2018年
/ 11卷
/ 03期
关键词
:
Topological index;
harmonic index;
minimum vertex degree;
D O I
:
10.1142/S1793557118500353
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
A recently proposed conjecture by Cheng and Wang [A lower bound for the harmonic index of a graph with minimum degree at least three, Filomat 30(8) (2016) 2249-2260] about the harmonic index is disproved.
引用
收藏
页数:3
相关论文
共 6 条
[1]
A Lower Bound for the Harmonic Index of a Graph with Minimum Degree at Least Three
Cheng, Minghong
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Cheng, Minghong
Wang, Ligong
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Wang, Ligong
[J].
FILOMAT,
2016,
30
(08)
: 2249
-
2260
[2]
Fajtlowicz S., 1987, CONGRUENT NUMBER, V60, P187
[3]
Harary F., 1969, GRAPH THEORY, DOI DOI 10.21236/AD0705364
[4]
Lv J. B., 2013, J ZHANGZHOU NORMAL U, V26, P8
[5]
A lower bound for the harmonic index of a graph with minimum degree at least two
Wu, Renfang
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Wu, Renfang
Tang, Zikai
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Tang, Zikai
Deng, Hanyuan
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Deng, Hanyuan
[J].
FILOMAT,
2013,
27
(01)
: 51
-
55
[6]
The harmonic index for graphs
Zhong, Lingping
论文数:
0
引用数:
0
h-index:
0
机构:
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
Zhong, Lingping
[J].
APPLIED MATHEMATICS LETTERS,
2012,
25
(03)
: 561
-
566
←
1
→
共 6 条
[1]
A Lower Bound for the Harmonic Index of a Graph with Minimum Degree at Least Three
Cheng, Minghong
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Cheng, Minghong
Wang, Ligong
论文数:
0
引用数:
0
h-index:
0
机构:
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Northwestern Polytech Univ, Sch Sci, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China
Wang, Ligong
[J].
FILOMAT,
2016,
30
(08)
: 2249
-
2260
[2]
Fajtlowicz S., 1987, CONGRUENT NUMBER, V60, P187
[3]
Harary F., 1969, GRAPH THEORY, DOI DOI 10.21236/AD0705364
[4]
Lv J. B., 2013, J ZHANGZHOU NORMAL U, V26, P8
[5]
A lower bound for the harmonic index of a graph with minimum degree at least two
Wu, Renfang
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Wu, Renfang
Tang, Zikai
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Tang, Zikai
Deng, Hanyuan
论文数:
0
引用数:
0
h-index:
0
机构:
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Hunan Normal Univ, Minist Educ China, Coll Math & Comp Sci, Key Lab High Performance Comp & Stochast Informat, Changsha 410081, Hunan, Peoples R China
Deng, Hanyuan
[J].
FILOMAT,
2013,
27
(01)
: 51
-
55
[6]
The harmonic index for graphs
Zhong, Lingping
论文数:
0
引用数:
0
h-index:
0
机构:
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
Zhong, Lingping
[J].
APPLIED MATHEMATICS LETTERS,
2012,
25
(03)
: 561
-
566
←
1
→