منابع مشابه
A Note on Regular Near Polygons
In this note we prove several inequalities for regular near polygons. ∗This work was partly supported by the Grant-in-Aid for Scientific Research (No 14740072), the Ministry of Education, Science and Culture, JAPAN. †This work was partly done when the author was at the ComMaC center at the Pohang University of Science and Technology. He would like to thank the ComMaC-KOSEF for its support.
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The inequality of Higman for generalized quadrangles of order (s, t) with s > 1 states that t ≤ s. We will generalize this by proving that the intersection number ci of a regular near 2d-gon of order (s, t) with s > 1 satisfies the tight bound ci ≤ (s − 1)/(s − 1), and we give properties in case of equality. It is known that hemisystems in generalized quadrangles meeting the Higman bound induce...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2017
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-017-0373-1