Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*)

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Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*)

Abdulkhalik Yaseen et al · University of Mosul, College of Education for Pure Science · 2009

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Author / responsible party

Abdulkhalik Yaseen et al

Publisher

University of Mosul, College of Education for Pure Science

Year

2009

ISSN

1812-125X

ISSN

1812-125X

Language

English

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Abstract<br /> A (k,n) – arc in the finite projective PG(2,q) is defined to be the set K which is composed of k points such that there is a line passes through n points but no line can pass through more than n points. A (k,n) – arc is called complete if there is no (k+1,n) – arc containing it. In this research we have constructed and classified all the projectively distinct (k,5) – arcs for k = 7, 8, 9 in the projective planes PG(2,9). We proved that (k,5) – arcs are not complete in the projective plane PG(2, 9) for 5 k 25. We contructed and classified the (13,5) – arcs in the projective plane PG(2,9) where all of these arcs containing a conic by using a computer program .

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APA 7

al, A. Y. E. (2009). Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*). https://doi.org/10.33899/edusj.2009.57419

MLA

al, Abdulkhalik Yaseen et. "Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*)." 2009. https://doi.org/10.33899/edusj.2009.57419.

Chicago

al, Abdulkhalik Yaseen et. 2009. "Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*).". https://doi.org/10.33899/edusj.2009.57419.

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al, A. Y. E. 2009, Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*), University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2009.57419 [Accessed 9 Aug. 2026].

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Title: Construction of Arcs (k, 5) - at the level of Dizark PG (2,9) (*)

Author / contributors: Abdulkhalik Yaseen et al

Publisher: University of Mosul, College of Education for Pure Science

Publication year: 2009

ISSN: 1812-125X

ISSN: 1812-125X

Language: English

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construction; arcs(k; 5); dizark level pg(2; 9)