The spectral polynomials of two joining graphs: splices and links
Energy of a graph, firstly defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix, in other words the sum of absolute values of the roots of the characteristic (spectral) polynomials, is an important sub area of graph theory. Symmetry and regularity are two im...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Sociedade Brasileira de Matemática
2022-01-01
|
| Series: | Boletim da Sociedade Paranaense de Matemática |
| Online Access: | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48651 |
| _version_ | 1797633481132474368 |
|---|---|
| author | Feriha Celik Utkum Sanli Ismail Naci Cangul |
| author_facet | Feriha Celik Utkum Sanli Ismail Naci Cangul |
| author_sort | Feriha Celik |
| collection | DOAJ |
| description |
Energy of a graph, firstly defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix, in other words the sum of absolute values of the roots of the characteristic (spectral) polynomials, is an important sub area of graph theory. Symmetry and regularity are two important and desired properties in many areas including graphs. In many molecular graphs, we have a pointwise symmetry, that is the graph corresponding to the molecule under investigation has two identical subgraphs which are symmetrical at a vertex. Therefore, in this paper, we shall study only the vertex joining graphsIn this article we study the characteristic polynomials of the two kinds of joining graphs called splice and link graphs of some well known graph classes.
|
| first_indexed | 2024-03-11T11:54:37Z |
| format | Article |
| id | doaj.art-330e53482f6e4ecda4fb740902e4c74c |
| institution | Directory Open Access Journal |
| issn | 0037-8712 2175-1188 |
| language | English |
| last_indexed | 2024-03-11T11:54:37Z |
| publishDate | 2022-01-01 |
| publisher | Sociedade Brasileira de Matemática |
| record_format | Article |
| series | Boletim da Sociedade Paranaense de Matemática |
| spelling | doaj.art-330e53482f6e4ecda4fb740902e4c74c2023-11-08T19:49:57ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882022-01-014010.5269/bspm.48651The spectral polynomials of two joining graphs: splices and linksFeriha Celik0Utkum Sanli1Ismail Naci Cangul2Bursa Uludag UniversityBursa Uludag UniversityBursa Uludag University Energy of a graph, firstly defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix, in other words the sum of absolute values of the roots of the characteristic (spectral) polynomials, is an important sub area of graph theory. Symmetry and regularity are two important and desired properties in many areas including graphs. In many molecular graphs, we have a pointwise symmetry, that is the graph corresponding to the molecule under investigation has two identical subgraphs which are symmetrical at a vertex. Therefore, in this paper, we shall study only the vertex joining graphsIn this article we study the characteristic polynomials of the two kinds of joining graphs called splice and link graphs of some well known graph classes. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48651 |
| spellingShingle | Feriha Celik Utkum Sanli Ismail Naci Cangul The spectral polynomials of two joining graphs: splices and links Boletim da Sociedade Paranaense de Matemática |
| title | The spectral polynomials of two joining graphs: splices and links |
| title_full | The spectral polynomials of two joining graphs: splices and links |
| title_fullStr | The spectral polynomials of two joining graphs: splices and links |
| title_full_unstemmed | The spectral polynomials of two joining graphs: splices and links |
| title_short | The spectral polynomials of two joining graphs: splices and links |
| title_sort | spectral polynomials of two joining graphs splices and links |
| url | https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/48651 |
| work_keys_str_mv | AT ferihacelik thespectralpolynomialsoftwojoininggraphssplicesandlinks AT utkumsanli thespectralpolynomialsoftwojoininggraphssplicesandlinks AT ismailnacicangul thespectralpolynomialsoftwojoininggraphssplicesandlinks AT ferihacelik spectralpolynomialsoftwojoininggraphssplicesandlinks AT utkumsanli spectralpolynomialsoftwojoininggraphssplicesandlinks AT ismailnacicangul spectralpolynomialsoftwojoininggraphssplicesandlinks |