Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs
In this paper, for a connected graph G and a real α≠0, we define a new graph invariant σα(G)-as the sum of the alphath powers of the normalized signless Laplacian eigenvalues of G. Note that σ1/2(G) is equal to Randic (normalized) incidence energy which have been recently studied in the literature [...
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| Format: | Article |
| Language: | English |
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University of Kashan
2019-12-01
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| Series: | Mathematics Interdisciplinary Research |
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| Online Access: | https://mir.kashanu.ac.ir/article_101587_6d3f9f9d05078067f97d041c27644362.pdf |
| _version_ | 1797630835094978560 |
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| author | Ş. Burcu Bozkurt Altındağ |
| author_facet | Ş. Burcu Bozkurt Altındağ |
| author_sort | Ş. Burcu Bozkurt Altındağ |
| collection | DOAJ |
| description | In this paper, for a connected graph G and a real α≠0, we define a new graph invariant σα(G)-as the sum of the alphath powers of the normalized signless Laplacian eigenvalues of G. Note that σ1/2(G) is equal to Randic (normalized) incidence energy which have been recently studied in the literature [5, 15]. We present some bounds on σα(G) (α ≠ 0, 1) and also consider the special case α = 1/2. |
| first_indexed | 2024-03-11T11:13:29Z |
| format | Article |
| id | doaj.art-6d8288b0700f4efd8231636d8f2a4e32 |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:29Z |
| publishDate | 2019-12-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-6d8288b0700f4efd8231636d8f2a4e322023-11-11T08:11:49ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652019-12-014217118210.22052/mir.2019.208991.1180101587Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of GraphsŞ. Burcu Bozkurt Altındağ0Konya, TurkeyIn this paper, for a connected graph G and a real α≠0, we define a new graph invariant σα(G)-as the sum of the alphath powers of the normalized signless Laplacian eigenvalues of G. Note that σ1/2(G) is equal to Randic (normalized) incidence energy which have been recently studied in the literature [5, 15]. We present some bounds on σα(G) (α ≠ 0, 1) and also consider the special case α = 1/2.https://mir.kashanu.ac.ir/article_101587_6d3f9f9d05078067f97d041c27644362.pdfnormalized signless laplacian eigenvaluesrandic (normalized) incidence energybound |
| spellingShingle | Ş. Burcu Bozkurt Altındağ Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs Mathematics Interdisciplinary Research normalized signless laplacian eigenvalues randic (normalized) incidence energy bound |
| title | Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs |
| title_full | Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs |
| title_fullStr | Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs |
| title_full_unstemmed | Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs |
| title_short | Note on the Sum of Powers of Normalized Signless Laplacian Eigenvalues of Graphs |
| title_sort | note on the sum of powers of normalized signless laplacian eigenvalues of graphs |
| topic | normalized signless laplacian eigenvalues randic (normalized) incidence energy bound |
| url | https://mir.kashanu.ac.ir/article_101587_6d3f9f9d05078067f97d041c27644362.pdf |
| work_keys_str_mv | AT sburcubozkurtaltındag noteonthesumofpowersofnormalizedsignlesslaplacianeigenvaluesofgraphs |