Abstract.
Let Γ be a regular near polygon of order (s,t) with s>1 and t≥3. Let d be the diameter of Γ, and let r:= max{i∣(c i ,a i ,b i )=(c1,a1,b1)}. In this note we prove several inequalities for Γ. In particular, we show that s is bounded from above by function in t if We also consider regular near polygons of order (s,3).
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This work was partly supported by the Grant-in-Aid for Scientific Research (No 14740072), the Ministry of Education, Culture, Sports, Science and Technology, Japan
This work was partly done when the author was at the Com2MaC center at the Pohang University of Science and Technology. He would like to thank the Com2MaC-KOSEF for its support
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Hiraki, A., Koolen, J. A Note on Regular Near Polygons. Graphs and Combinatorics 20, 485–497 (2004). https://doi.org/10.1007/s00373-004-0584-x
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DOI: https://doi.org/10.1007/s00373-004-0584-x