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doi:10.1016/j.ejc.2006.07.004 
Copyright © 2006 Elsevier Ltd All rights reserved.
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Yi-Zheng Fana, 
, Shi-Cai Gonga, Jun Zhoua, Ying-Ying Tana and Yi Wanga
Received 24 March 2005;
Abstract
Let G be a nonsingular connected mixed graph. We determine the mixed graphs G on at least seven vertices with exactly two Laplacian eigenvalues greater than 2. In addition, all mixed graphs G with exactly one Laplacian eigenvalue greater than 2 are also characterized.
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Supported by Anhui Provincial Natural Science Foundation (050460102), Excellent Youth Science and Technology Foundation of Anhui Province (06042088), NSF of the Department of Education of Anhui Province (2004kj027, 2005kj005zd, 2006kj068A), Foundation of Mathematics Innovation Team of Anhui University, Foundation for Youths of Anhui University of Science and Technology (2005(27)), Foundation of Anhui Institute of Architecture and Industry (200510307), Foundation of Innovation for Graduates of Anhui University, and Foundation of Talents Group Construction of Anhui University.
