The distance-regular graphs such that all of its second largest local eigenvalues are at most one |
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| Authors: | Jack H Koolen Hyonju Yu |
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| Institution: | Department of Mathematics, POSTECH, Pohang 790-785, South Korea |
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| Abstract: | In this paper, we classify distance regular graphs such that all of its second largest local eigenvalues are at most one. Also we discuss the consequences for the smallest eigenvalue of a distance-regular graph. These extend a result by the first author, who classified the distance-regular graphs with smallest eigenvalue  . |
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| Keywords: | Distance-regular graph Line graph Local eigenvalue Generalized line graph |
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