On the Incidence Energy of Some Toroidal Lattices
The incidence energy IE(G), defined as the sum of the singular values of the incidence matrix of G, is a much studied quantity with well known applications in chemical physics. In this paper, we derived the closed-form formulae expressing the incidence energy of the 3.12.12 lattice, triangular kagom...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/568153 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849306436567302144 |
|---|---|
| author | Jia-Bao Liu Jinde Cao Jin Xie |
| author_facet | Jia-Bao Liu Jinde Cao Jin Xie |
| author_sort | Jia-Bao Liu |
| collection | DOAJ |
| description | The incidence energy IE(G), defined as the sum of the singular values of the incidence matrix of G, is a much studied quantity with well known applications in chemical physics. In this paper, we derived the closed-form formulae expressing the incidence energy of the 3.12.12 lattice, triangular kagomé lattice, and S(m,n) lattice, respectively. Simultaneously, the explicit asymptotic values of the incidence energy in these lattices are obtained by utilizing the applications of analysis method with the help of software calculation. |
| format | Article |
| id | doaj-art-350bbae6acf44e3fb29d0a2fe1b1eb7e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-350bbae6acf44e3fb29d0a2fe1b1eb7e2025-08-20T03:55:06ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/568153568153On the Incidence Energy of Some Toroidal LatticesJia-Bao Liu0Jinde Cao1Jin Xie2Department of Public Courses, Anhui Xinhua University, Hefei 230088, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaDepartment of Mathematics & Physics, Hefei University, Hefei, 230601, ChinaThe incidence energy IE(G), defined as the sum of the singular values of the incidence matrix of G, is a much studied quantity with well known applications in chemical physics. In this paper, we derived the closed-form formulae expressing the incidence energy of the 3.12.12 lattice, triangular kagomé lattice, and S(m,n) lattice, respectively. Simultaneously, the explicit asymptotic values of the incidence energy in these lattices are obtained by utilizing the applications of analysis method with the help of software calculation.http://dx.doi.org/10.1155/2014/568153 |
| spellingShingle | Jia-Bao Liu Jinde Cao Jin Xie On the Incidence Energy of Some Toroidal Lattices Abstract and Applied Analysis |
| title | On the Incidence Energy of Some Toroidal Lattices |
| title_full | On the Incidence Energy of Some Toroidal Lattices |
| title_fullStr | On the Incidence Energy of Some Toroidal Lattices |
| title_full_unstemmed | On the Incidence Energy of Some Toroidal Lattices |
| title_short | On the Incidence Energy of Some Toroidal Lattices |
| title_sort | on the incidence energy of some toroidal lattices |
| url | http://dx.doi.org/10.1155/2014/568153 |
| work_keys_str_mv | AT jiabaoliu ontheincidenceenergyofsometoroidallattices AT jindecao ontheincidenceenergyofsometoroidallattices AT jinxie ontheincidenceenergyofsometoroidallattices |