Counting paths between points on a circle
Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 4, pp. 511-517
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.
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.
DOI :
10.14712/1213-7243.2024.010
Classification :
05A15
Keywords: enumerative combinatorics; self-avoiding path; convex polygon
Keywords: enumerative combinatorics; self-avoiding path; convex polygon
@article{10_14712_1213_7243_2024_010,
author = {Kortezov, Ivaylo},
title = {Counting paths between points on a circle},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {511--517},
year = {2023},
volume = {64},
number = {4},
doi = {10.14712/1213-7243.2024.010},
mrnumber = {4813800},
zbl = {07953696},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2024.010/}
}
TY - JOUR AU - Kortezov, Ivaylo TI - Counting paths between points on a circle JO - Commentationes Mathematicae Universitatis Carolinae PY - 2023 SP - 511 EP - 517 VL - 64 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2024.010/ DO - 10.14712/1213-7243.2024.010 LA - en ID - 10_14712_1213_7243_2024_010 ER -
%0 Journal Article %A Kortezov, Ivaylo %T Counting paths between points on a circle %J Commentationes Mathematicae Universitatis Carolinae %D 2023 %P 511-517 %V 64 %N 4 %U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2024.010/ %R 10.14712/1213-7243.2024.010 %G en %F 10_14712_1213_7243_2024_010
Kortezov, Ivaylo. Counting paths between points on a circle. Commentationes Mathematicae Universitatis Carolinae, Tome 64 (2023) no. 4, pp. 511-517. doi: 10.14712/1213-7243.2024.010
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