Families of Metrized Graphs with Small Tau Constants
| dc.contributor.author | Cinkir, Zubeyir | |
| dc.contributor.department | AGÜ, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü | en_US |
| dc.contributor.institutionauthor | Cinkir, Zubeyir | |
| dc.date.accessioned | 2021-08-26T12:07:06Z | |
| dc.date.available | 2021-08-26T12:07:06Z | |
| dc.date.issued | 2016 | en_US |
| dc.description | This work is supported by The Scientific and Technological Research Council of Turkey-TUBITAK (Project No: 110T686) and by BAGEP of The Science Academy. I would like to thank the anonymous referees for their valuable suggestions, which improved this article in several ways. I also would like to thank Arzu Boysal and Fatih Ecevit for the helpful feedback on the earlier version of this article. | en_US |
| dc.description.abstract | Baker and Rumely's tau lower bound conjecture claims that if the tau constant of a metrized graph is divided by its total length, this ratio must be bounded below by a positive constant for all metrized graphs. We construct several families of metrized graphs having small tau constants. In addition to numerical computations, we prove that the tau constants of the metrized graphs in one of these families, the hexagonal nets around a torus, asymptotically approach to 108 which is our conjectural lower bound. | en_US |
| dc.description.sponsorship | Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) 110T686 BAGEP of The Science Academy | en_US |
| dc.identifier.issn | 0218-0006 | |
| dc.identifier.issn | 0219-3094 | |
| dc.identifier.uri | https://doi.org/10.1007/s00026-016-0304-2 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12573/963 | |
| dc.identifier.volume | Volume 20 Issue 2 Page 317-344 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SPRINGER BASEL AGPICASSOPLATZ 4, BASEL 4052, SWITZERLAND | en_US |
| dc.relation.isversionof | 10.1007/s00026-016-0304-2 | en_US |
| dc.relation.journal | ANNALS OF COMBINATORICS | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası - Editör Denetimli Dergi | en_US |
| dc.relation.tubitak | 110T686 | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | tau lower bound conjecture | en_US |
| dc.subject | hexagonal net around a torus | en_US |
| dc.subject | tau constant | en_US |
| dc.subject | metrized graph | en_US |
| dc.title | Families of Metrized Graphs with Small Tau Constants | en_US |
| dc.type | article | en_US |
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