Article
| Title: | Counting paths between points on a circle (English) |
| Author: | Kortezov, Ivaylo |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 64 |
| Issue: | 4 |
| Year: | 2023 |
| Pages: | 511-517 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | The paper deals with counting sets of given magnitude whose elements are self-avoiding paths with nodes from a fixed set of points on a circle. Some of the obtained formulae provide new properties of entries in ``The On-line Encyclopaedia of Integer Sequences", while others generate new entries therein. (English) |
| Keyword: | enumerative combinatorics |
| Keyword: | self-avoiding path |
| Keyword: | convex polygon |
| MSC: | 05A15 |
| idZBL: | Zbl 07953696 |
| idMR: | MR4813800 |
| DOI: | 10.14712/1213-7243.2024.010 |
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| Date available: | 2024-11-05T11:53:13Z |
| Last updated: | 2025-04-28 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152620 |
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| Reference: | [1] Kortezov I.: Sets of non-self-intersecting paths connecting the vertices of a convex polygon.Mathematics and Informatics 65 (2022), no. 6, 546–555. 10.53656/math2022-6-4-set |
| Reference: | [2] Kortezov I.: Sets of paths between vertices of a polygon.Mathematics Competitions 35 (2022), no. 2, 35–43. |
| Reference: | [3] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A001792. |
| Reference: | [4] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A261064. |
| Reference: | [5] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A308914. MR 1269167 |
| Reference: | [6] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A332426. |
| Reference: | [7] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A359404. |
| Reference: | [8] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A359405. |
| Reference: | [9] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A360021. |
| Reference: | [10] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A360275. |
| Reference: | [11] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A360276. |
| Reference: | [12] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A360715. |
| Reference: | [13] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A360716. |
| Reference: | [14] Sloane N. J. A.: The On-line Encyclopaedia of Integer Sequences.https://oeis.org/A360717. |
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