Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs
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| Creator |
Avohou, R.C.
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| Description |
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.
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| Date |
2019-02-15T18:46:43Z
2019-02-15T18:46:43Z 2016 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2010 Mathematics Subject Classification: 05C10; 57M15 DOI:10.3842/SIGMA.2016.030 http://dspace.nbuv.gov.ua/handle/123456789/147726 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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