Computation of Polarized Metrized Graph Invariants by Using Discrete Laplacian Matrix
| dc.contributor.author | Cinkir, Zubeyir | |
| dc.date.accessioned | 2025-09-25T10:43:02Z | |
| dc.date.available | 2025-09-25T10:43:02Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Several invariants of polarized metrized graphs and their applications in Arithmetic Geometry have been studied recently. In this paper, we give fast algorithms to compute these invariants by expressing them in terms of the discrete Laplacian matrix and its pseudo inverse. The algorithm we give can be used for both symbolic and numerical computations. We present various examples to illustrate the implementation of these algorithms. | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey-TUBITAK [110T686] | en_US |
| dc.description.sponsorship | I would like to thank anonymous referees for their valuable suggestions. This work was supported by The Scientific and Technological Research Council of Turkey-TUBITAK (Project No: 110T686). | en_US |
| dc.identifier.doi | 10.1090/mcom/2981 | |
| dc.identifier.issn | 0025-5718 | |
| dc.identifier.issn | 1088-6842 | |
| dc.identifier.scopus | 2-s2.0-85000444196 | |
| dc.identifier.uri | https://doi.org/10.1090/mcom/2981 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/3512 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Mathematical Soc | en_US |
| dc.relation.ispartof | Mathematics of Computation | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Metrized Graph | en_US |
| dc.subject | Polarized Metrized Graph | en_US |
| dc.subject | Invariants of Polarized Metrized Graphs | en_US |
| dc.subject | The Tau Constant | en_US |
| dc.subject | Resistance Function | en_US |
| dc.subject | The Discrete Laplacian Matrix | en_US |
| dc.subject | Pseudo Inverse and Relative Dualizing Sheaf | en_US |
| dc.title | Computation of Polarized Metrized Graph Invariants by Using Discrete Laplacian Matrix | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Cinkir, Zubeyir | |
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| gdc.description.department | Abdullah Gül University | en_US |
| gdc.description.departmenttemp | [Cinkir, Zubeyir] Zirve Univ, Dept Math, TR-27260 Gaziantep, Turkey | en_US |
| gdc.description.endpage | 2967 | en_US |
| gdc.description.issue | 296 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2953 | en_US |
| gdc.description.volume | 84 | en_US |
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| gdc.oaire.keywords | Resistance function | |
| gdc.oaire.keywords | Mathematics - Number Theory | |
| gdc.oaire.keywords | The discrete Laplacian matrix | |
| gdc.oaire.keywords | Metrized graph | |
| gdc.oaire.keywords | The tau constant | |
| gdc.oaire.keywords | Polarized metrized graph | |
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| gdc.oaire.keywords | Number Theory (math.NT) | |
| gdc.oaire.keywords | Combinatorics (math.CO) | |
| gdc.oaire.keywords | Pseudo inverse and relative dualizing sheaf | |
| gdc.oaire.keywords | Invariants of polarized metrized graphs | |
| gdc.oaire.keywords | discrete Laplacian matrix | |
| gdc.oaire.keywords | polarized metrized graph | |
| gdc.oaire.keywords | Heights | |
| gdc.oaire.keywords | Graph algorithms (graph-theoretic aspects) | |
| gdc.oaire.keywords | Applications of graph theory to circuits and networks | |
| gdc.oaire.keywords | relative dualizing sheaf | |
| gdc.oaire.keywords | tau constant | |
| gdc.oaire.keywords | Arithmetic varieties and schemes; Arakelov theory; heights | |
| gdc.oaire.keywords | metrized graph | |
| gdc.oaire.keywords | Varieties over global fields | |
| gdc.oaire.keywords | Distance in graphs | |
| gdc.oaire.keywords | Graphs and linear algebra (matrices, eigenvalues, etc.) | |
| gdc.oaire.keywords | Programming involving graphs or networks | |
| gdc.oaire.keywords | pseudo inverse | |
| gdc.oaire.keywords | Curves of arbitrary genus or genus \(\ne 1\) over global fields | |
| gdc.oaire.keywords | resistance function | |
| gdc.oaire.keywords | invariants of polarized metrized graphs | |
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| gdc.virtual.author | Çınkır, Zübeyir | |
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