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Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Avohou, R.C. | |
| dc.date.accessioned | 2019-02-15T18:46:43Z | |
| dc.date.available | 2019-02-15T18:46:43Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs / R.C. Avohou // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 18 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 05C10; 57M15 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.030 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147726 | |
| dc.description.abstract | Polynomials on stranded graphs are higher dimensional generalization of Tutte and Bollobás-Riordan polynomials [Math. Ann. 323 (2002), 81-96]. Here, we deepen the analysis of the polynomial invariant defined on rank 3 weakly-colored stranded graphs introduced in arXiv:1301.1987. We successfully find in dimension D≥3 a modified Euler characteristic with D−2 parameters. Using this modified invariant, we extend the rank 3 weakly-colored graph polynomial, and its main properties, on rank 4 and then on arbitrary rank D weakly-colored stranded graphs. | uk_UA |
| dc.description.sponsorship | Numerous discussions with Joseph Ben Geloun and Mahouton N. Hounkonnou have been hugely beneficial for this work and gratefully acknowledged. The author acknowledges the support of Max-Planck Institute for Gravitational Physics, Albert Einstein Institute, and the Association pour la Promotion Scientifique de l’Afrique. The ICMPA is also in partnership with the Daniel Iagolnitzer Foundation (DIF), France. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
