Proof of a Conjecture of Graham and Lovász concerning Unimodality of Coefficients of the Distance Characteristic Polynomial of a Tree
| dc.contributor.author | Aalipour, Ghodratollah | |
| dc.contributor.author | Abiad, Aida | |
| dc.contributor.author | Berikkyzy, Zhanar | |
| dc.contributor.author | Hogben, Leslie | |
| dc.contributor.author | Kenter, Franklin | |
| dc.contributor.author | Lin, Jephian | |
| dc.contributor.author | Tait, Michael | |
| dc.contributor.department | Department of Electrical and Computer Engineering | |
| dc.contributor.department | Mathematics | |
| dc.date | 2020-07-24T19:44:58.000 | |
| dc.date.accessioned | 2021-02-26T02:54:09Z | |
| dc.date.available | 2021-02-26T02:54:09Z | |
| dc.date.issued | 2018-08-01 | |
| dc.description.abstract | <p>The conjecture of Graham and Lovász that the (normalized) coefficients of the distance characteristic polynomial of a tree are unimodal is proved; it is also shown that the (normalized) coefficients are log-concave. Upper and lower bounds on the location of the peak are established.</p> | |
| dc.description.comments | <p>This article is published as Aalipour, Ghodratollah, Aida Abiad, Zhanar Berikkyzy, Leslie Hogben, Franklin Kenter, Jephian C-H. Lin, and Michael Tait. "Proof of a Conjecture of Graham and Lovasz concerning Unimodality of Coefficients of the Distance Characteristic Polynomial of a Tree." <em>The Electronic Journal of Linear Algebra</em> 34 (2018): 373-380. DOI: <a href="https://doi.org/10.13001/1081-3810.3493" target="_blank">10.13001/1081-3810.3493</a>.</p> | |
| dc.format.mimetype | application/pdf | |
| dc.identifier | archive/lib.dr.iastate.edu/math_pubs/235/ | |
| dc.identifier.articleid | 1236 | |
| dc.identifier.contextkey | 18629566 | |
| dc.identifier.s3bucket | isulib-bepress-aws-west | |
| dc.identifier.submissionpath | math_pubs/235 | |
| dc.identifier.uri | https://dr.lib.iastate.edu/handle/20.500.12876/96630 | |
| dc.language.iso | en | |
| dc.source.bitstream | archive/lib.dr.iastate.edu/math_pubs/235/2018_HogbenLeslie_ProofConjecture.pdf|||Fri Jan 14 22:48:58 UTC 2022 | |
| dc.source.uri | 10.13001/1081-3810.3493 | |
| dc.subject.disciplines | Algebra | |
| dc.subject.keywords | distance matrix | |
| dc.subject.keywords | characteristic polynomial | |
| dc.subject.keywords | unimodal | |
| dc.subject.keywords | log-concave | |
| dc.title | Proof of a Conjecture of Graham and Lovász concerning Unimodality of Coefficients of the Distance Characteristic Polynomial of a Tree | |
| dc.type | article | |
| dc.type.genre | article | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 0131698a-00df-41ad-8919-35fb630b282b | |
| relation.isOrgUnitOfPublication | a75a044c-d11e-44cd-af4f-dab1d83339ff | |
| relation.isOrgUnitOfPublication | 82295b2b-0f85-4929-9659-075c93e82c48 |
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