Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs
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...
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Інститут математики НАН України
2016
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| Schriftenreihe: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/147726 |
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| Zitieren: | 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. |
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irk-123456789-1477262019-02-16T01:25:07Z Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs Avohou, R.C. 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. 2016 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| 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. |
| format |
Article |
| author |
Avohou, R.C. |
| spellingShingle |
Avohou, R.C. Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Avohou, R.C. |
| author_sort |
Avohou, R.C. |
| title |
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs |
| title_short |
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs |
| title_full |
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs |
| title_fullStr |
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs |
| title_full_unstemmed |
Polynomial Invariants for Arbitrary Rank D Weakly-Colored Stranded Graphs |
| title_sort |
polynomial invariants for arbitrary rank d weakly-colored stranded graphs |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147726 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT avohourc polynomialinvariantsforarbitraryrankdweaklycoloredstrandedgraphs |
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2025-07-11T02:43:21Z |
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2025-07-11T02:43:21Z |
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