Abstract
We show that the incidence graphs of finite generalized quadrangles associated with symplectic forms on finite fields are Hamiltonian. This is an extension of Singer’s theorem (Singer Trans Am Math Soc 43:377–385, 1938) on generalized triangles to certain classical polygons.
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Sato, H., Suzuki, H. Hamiltonian Property of the Incidence Graphs of Quadrangles Associated with Symplectic Forms on Finite Fields. Graphs and Combinatorics 34, 1111–1129 (2018). https://doi.org/10.1007/s00373-018-1940-6
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DOI: https://doi.org/10.1007/s00373-018-1940-6