Two new topological indices based on graph adjacency matrix eigenvalues and eigenvectors
Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ show...
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| Autor*in: |
Rodríguez-Velázquez, Juan Alberto [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Nature Switzerland AG 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical chemistry - Springer International Publishing, 1987, 57(2019), 4 vom: 24. Jan., Seite 1053-1074 |
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| Übergeordnetes Werk: |
volume:57 ; year:2019 ; number:4 ; day:24 ; month:01 ; pages:1053-1074 |
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| DOI / URN: |
10.1007/s10910-019-01008-1 |
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| 520 | |a Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ shows similarity to EE in ordering of alkanes with 8–10 carbon atoms, whereas index $$ RV_{b} $$ is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence. | ||
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10.1007/s10910-019-01008-1 doi (DE-627)OLC2060426103 (DE-He213)s10910-019-01008-1-p DE-627 ger DE-627 rakwb eng 510 540 VZ Rodríguez-Velázquez, Juan Alberto verfasserin (orcid)0000-0002-9082-7647 aut Two new topological indices based on graph adjacency matrix eigenvalues and eigenvectors 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Nature Switzerland AG 2019 Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ shows similarity to EE in ordering of alkanes with 8–10 carbon atoms, whereas index $$ RV_{b} $$ is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence. Topological index Balaban index Estrada index Graph eigenvalues Balaban, Alexandru T. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 57(2019), 4 vom: 24. Jan., Seite 1053-1074 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:57 year:2019 number:4 day:24 month:01 pages:1053-1074 https://doi.org/10.1007/s10910-019-01008-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 AR 57 2019 4 24 01 1053-1074 |
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10.1007/s10910-019-01008-1 doi (DE-627)OLC2060426103 (DE-He213)s10910-019-01008-1-p DE-627 ger DE-627 rakwb eng 510 540 VZ Rodríguez-Velázquez, Juan Alberto verfasserin (orcid)0000-0002-9082-7647 aut Two new topological indices based on graph adjacency matrix eigenvalues and eigenvectors 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Nature Switzerland AG 2019 Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ shows similarity to EE in ordering of alkanes with 8–10 carbon atoms, whereas index $$ RV_{b} $$ is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence. Topological index Balaban index Estrada index Graph eigenvalues Balaban, Alexandru T. aut Enthalten in Journal of mathematical chemistry Springer International Publishing, 1987 57(2019), 4 vom: 24. Jan., Seite 1053-1074 (DE-627)129246441 (DE-600)59132-4 (DE-576)27906036X 0259-9791 nnns volume:57 year:2019 number:4 day:24 month:01 pages:1053-1074 https://doi.org/10.1007/s10910-019-01008-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-CHE SSG-OLC-MAT SSG-OLC-PHA SSG-OLC-DE-84 SSG-OPC-MAT GBV_ILN_70 AR 57 2019 4 24 01 1053-1074 |
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Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ shows similarity to EE in ordering of alkanes with 8–10 carbon atoms, whereas index $$ RV_{b} $$ is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence. © Springer Nature Switzerland AG 2019 |
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Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ shows similarity to EE in ordering of alkanes with 8–10 carbon atoms, whereas index $$ RV_{b} $$ is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence. © Springer Nature Switzerland AG 2019 |
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Abstract The Estrada topological index EE, based on the eigenvalues of the adjacency matrix, is degenerate for cospectral graphs. By additionally considering the eigenvectors, two new topological indices are devised, which have reduced degeneracy for alkanes or cyclic graphs. Index $$ RV_{a} $$ shows similarity to EE in ordering of alkanes with 8–10 carbon atoms, whereas index $$ RV_{b} $$ is more similar to the average distance-based connectivity (Balaban index J). Inter-correlations between these four topological indices are discussed, indicating which factors have predominant influence. © Springer Nature Switzerland AG 2019 |
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