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Graphs whose normalized Laplacian has three eigenvalues |
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| Authors: | ER van Dam GR Omidi |
| Institution: | a Tilburg University, Dept. Econometrics and Operations Research, P.O. Box 90153, 5000, LE, Tilburg, The Netherlands b Dept. Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran c School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran |
| Abstract: | We give a combinatorial characterization of graphs whose normalized Laplacian has three distinct eigenvalues. Strongly regular graphs and complete bipartite graphs are examples of such graphs, but we also construct more exotic families of examples from conference graphs, projective planes, and certain quasi-symmetric designs. |
| Keywords: | 05C50 05E30 |
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