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Integral and rational graphs in the plane

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arxiv 2402.08215 v1 pith:5MI7PYB6 submitted 2024-02-13 math.CO

classification math.CO
keywords graphsintegralplaneaddressingconstructionsdescribeinfinitemention
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We describe constructions of infinite graphs which are not representable as integral graphs in the plane, addressing a question of Erd\H{o}s. We also mention some related problems.

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