Explicit Ramsey Graphs and Erdős Distance Problems over Finite Euclidean and Non-Euclidean Spaces
نویسندگان
چکیده
منابع مشابه
Explicit Ramsey Graphs and Erdös Distance Problems over Finite Euclidean and Non-Euclidean Spaces
We study the Erdős distance problem over finite Euclidean and non-Euclidean spaces. Our main tools are graphs associated to finite Euclidean and non-Euclidean spaces that are considered in Bannai-Shimabukuro-Tanaka (2004, 2007). These graphs are shown to be asymptotically Ramanujan graphs. The advantage of using these graphs is twofold. First, we can derive new lower bounds on the Erdős distanc...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2008
ISSN: 1077-8926
DOI: 10.37236/729