On the Maximum Estrada Index of 3-Uniform Linear Hypertrees
For a simple hypergraph H on n vertices, its Estrada index is defined as EE(H)=∑i=1neλi, where λ1,λ2,…,λn are the eigenvalues of its adjacency matrix. In this paper, we determine the unique 3-uniform linear hypertree with the maximum Estrada index.
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2014-01-01
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Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2014/637865 |
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doaj-f6ed53a76b424fdb986d935a920dfe972020-11-24T21:45:16ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/637865637865On the Maximum Estrada Index of 3-Uniform Linear HypertreesFaxu Li0Liang Wei1Jinde Cao2Feng Hu3Haixing Zhao4School of Computer Science, Shaanxi Normal University, Xi’an 710062, ChinaDepartment of Mathematics, Qinghai Normal University, Xining 810008, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaSchool of Computer Science, Shaanxi Normal University, Xi’an 710062, ChinaCollege of Computer, Qinghai Normal University, Xining 810008, ChinaFor a simple hypergraph H on n vertices, its Estrada index is defined as EE(H)=∑i=1neλi, where λ1,λ2,…,λn are the eigenvalues of its adjacency matrix. In this paper, we determine the unique 3-uniform linear hypertree with the maximum Estrada index.http://dx.doi.org/10.1155/2014/637865 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Faxu Li Liang Wei Jinde Cao Feng Hu Haixing Zhao |
spellingShingle |
Faxu Li Liang Wei Jinde Cao Feng Hu Haixing Zhao On the Maximum Estrada Index of 3-Uniform Linear Hypertrees The Scientific World Journal |
author_facet |
Faxu Li Liang Wei Jinde Cao Feng Hu Haixing Zhao |
author_sort |
Faxu Li |
title |
On the Maximum Estrada Index of 3-Uniform Linear Hypertrees |
title_short |
On the Maximum Estrada Index of 3-Uniform Linear Hypertrees |
title_full |
On the Maximum Estrada Index of 3-Uniform Linear Hypertrees |
title_fullStr |
On the Maximum Estrada Index of 3-Uniform Linear Hypertrees |
title_full_unstemmed |
On the Maximum Estrada Index of 3-Uniform Linear Hypertrees |
title_sort |
on the maximum estrada index of 3-uniform linear hypertrees |
publisher |
Hindawi Limited |
series |
The Scientific World Journal |
issn |
2356-6140 1537-744X |
publishDate |
2014-01-01 |
description |
For a simple hypergraph H on n vertices, its Estrada index is defined as EE(H)=∑i=1neλi, where λ1,λ2,…,λn are the eigenvalues of its adjacency matrix. In this paper, we determine the unique 3-uniform linear hypertree with the maximum Estrada index. |
url |
http://dx.doi.org/10.1155/2014/637865 |
work_keys_str_mv |
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1725905445343723520 |