| 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 |
| . |
| Category:
|
math |
| . |
| 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 |
| . |
| Date available:
|
2024-11-05T11:53:13Z |
| Last updated:
|
2026-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152620 |
| . |
| 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. |
| . |
