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We report on the complete computer search for a strongly regular graph with parameters (36,15,6,6) and chromatic number six. The result is that no such graph exists.
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AMS classifications: 05E30; 51E12
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AMS classifications: 05E30; 05B20
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AMS classification: 05C50;
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For most feasible spectra of connected regular graphs with four distinct eigenvalues and at most 30 vertices we find all such graphs, using both theoretic and computer results.
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