Article
The spread of unicyclic graphs with given size of maximum matchings
Journal of Mathematical Chemistry (Impact Factor: 1.23). 01/2007; 42(4):775788. DOI: 10.1007/s1091000691416

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ABSTRACT: The Laplacian spread of a graph is defined to be the difference between the largest eigenvalue and the secondsmallest eigenvalue of the Laplacian matrix of the graph. In a recent work the trees with maximal Laplacian spread and with minimal Laplacian spread among all trees of fixed order are separately determined. In this work, we characterize the unique unicyclic graph with maximal Laplacian spread among all connected unicyclic graphs of fixed order.Applied Mathematics Letters. 01/2009;
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