TY  - JOUR
T1  - On (k,3)-arcs derived by Ceva configurations in PG(2,5)
AU  - Altıntaş Kahriman, Elif
AU  - Bayar, Ayşe
PY  - 2024
DA  - December
Y2  - 2024
DO  - 10.59313/jsr-a.1559383
JF  - Journal of Scientific Reports-A
JO  - JSR-A
PB  - Kütahya Dumlupinar University
WT  - DergiPark
SN  - 2687-6167
SP  - 10
EP  - 18
IS  - 059
LA  - en
AB  - In this study, we investigate complete (k,2)-arcs and (k,3)-arcs derived from a Ceva configuration in the projective plane of order five by implementing an algorithm in C#. Our results indicate the existence of a complete (6,2)-arc that has no points in common with the (7,3)-arc formed by the Ceva configuration. Furthermore, we identify eight different complete (10,3)-arcs that include a Ceva configuration. Additionally, we explore cyclic order Ceva configurations, denoted as C_1,C_2,C_3,  and C_4, all of which have a common center. The vertices of each configuration C_i  are on the sides of the preceding configuration C_(i-1), with i ranging from 2 to 4. We determine different thirty-two complete (10,3)-arcs and different two complete (6,2)-arcs by constructing cyclic order Ceva configurations C_1,C_2,C_3,C_4  with a common center in PG(2,5).
KW  - projective plane
KW  - (k
KW  - n)-arc
KW  - ceva configuration
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UR  - https://doi.org/10.59313/jsr-a.1559383
L1  - https://dergipark.org.tr/en/download/article-file/4255291
ER  -