Let T be a tree with matching number μ(T). In this paper we obtain the following result: If T has no perfect matchings, thenμ(T) is a lower bound for the number of nonzero Laplacian eigenvalues of T which are smalle...Let T be a tree with matching number μ(T). In this paper we obtain the following result: If T has no perfect matchings, thenμ(T) is a lower bound for the number of nonzero Laplacian eigenvalues of T which are smaller than 2.展开更多
基金This research is supported by Anhui provincial Natural Science Foundation, Natural Science Foundation of Department of Education of Anhui Province of China (2004kj027)the Project of Research for Young Teachers of Universities of Anhui Province of China (2003jql01)and the Project of Anhui University for Talents Group Construction.
文摘Let T be a tree with matching number μ(T). In this paper we obtain the following result: If T has no perfect matchings, thenμ(T) is a lower bound for the number of nonzero Laplacian eigenvalues of T which are smaller than 2.
