Nonexistence of certain pseudogeometric graphs |
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Authors: | SeungHyun Shin |
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Affiliation: | Department of Mathematics, POSTECH, Republic of Korea |
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Abstract: | Izo() is the pseudogeometric graph for pG which satisfies the Krein equality and of which the local graph also satisfies the Krein equality. We prove that Izo() exists if and only if a spherical tight 4-design on exists. Nonexistence of infinitely many spherical tight 4-designs is well known. It gives the nonexistence of Izo() for infinitely many . Especially, Izo(4) does not exist, which was the first open case. |
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Keywords: | Partial geometry Krein equality Spherical Design |
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