| Title:
|
On the energy and spectral properties of the he matrix of hexagonal systems (English) |
| Author:
|
Bhatti, Faqir M. |
| Author:
|
Das, Kinkar Ch. |
| Author:
|
Ahmed, Syed A. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
63 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
47-63 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The He matrix, put forward by He and He in 1989, is designed as a means for uniquely representing the structure of a hexagonal system (= benzenoid graph). Observing that the He matrix is just the adjacency matrix of a pertinently weighted inner dual of the respective hexagonal system, we establish a number of its spectral properties. Afterwards, we discuss the number of eigenvalues equal to zero of the He matrix of a hexagonal system. Moreover, we obtain a relation between the number of triangles and the eigenvalues of the He matrix of a hexagonal system. Finally, we present an upper bound on the He energy of hexagonal systems. (English) |
| Keyword:
|
molecular graph |
| Keyword:
|
hexagonal system |
| Keyword:
|
inner dual |
| Keyword:
|
He matrix |
| Keyword:
|
spectral radius |
| Keyword:
|
eigenvalue |
| Keyword:
|
energy of graph |
| MSC:
|
05C10 |
| MSC:
|
05C30 |
| MSC:
|
68R10 |
| MSC:
|
81Q30 |
| idZBL:
|
Zbl 1274.05224 |
| idMR:
|
MR3035496 |
| DOI:
|
10.1007/s10587-013-0003-7 |
| . |
| Date available:
|
2013-03-01T16:01:46Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143169 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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|
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| Reference:
|
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| Reference:
|
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| Reference:
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| . |
