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.
Saved in:
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2014-01-01
|
Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1155/2014/637865 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
_version_ | 1832560457952526336 |
---|---|
author | Faxu Li Liang Wei Jinde Cao Feng Hu Haixing Zhao |
author_facet | Faxu Li Liang Wei Jinde Cao Feng Hu Haixing Zhao |
author_sort | Faxu Li |
collection | DOAJ |
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. |
format | Article |
id | doaj-art-f6ed53a76b424fdb986d935a920dfe97 |
institution | Kabale University |
issn | 2356-6140 1537-744X |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | The Scientific World Journal |
spelling | doaj-art-f6ed53a76b424fdb986d935a920dfe972025-02-03T01:27:34ZengWileyThe 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 |
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 |
title | 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_short | On the Maximum Estrada Index of 3-Uniform Linear Hypertrees |
title_sort | on the maximum estrada index of 3 uniform linear hypertrees |
url | http://dx.doi.org/10.1155/2014/637865 |
work_keys_str_mv | AT faxuli onthemaximumestradaindexof3uniformlinearhypertrees AT liangwei onthemaximumestradaindexof3uniformlinearhypertrees AT jindecao onthemaximumestradaindexof3uniformlinearhypertrees AT fenghu onthemaximumestradaindexof3uniformlinearhypertrees AT haixingzhao onthemaximumestradaindexof3uniformlinearhypertrees |