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- W1521087314 abstract "The Laplacian spread of a graph is the difference between the largest eigenvalue and the second-smallest eigenvalue of the Laplacian matrix of the graph. We find that the class of strongly regular graphs attains the maximum of largest eigenvalues, the minimum of second-smallest eigenvalues of Laplacian matrices and hence the maximum of Laplacian spreads among all simple connected graphs of fixed order, minimum degree, maximum degree, minimum size of common neighbors of two adjacent vertices and minimum size of common neighbors of two nonadjacent vertices. Some other extremal graphs are also provided." @default.
- W1521087314 created "2016-06-24" @default.
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- W1521087314 date "2014-11-24" @default.
- W1521087314 modified "2023-09-25" @default.
- W1521087314 title "Strongly Regular Graphs as Laplacian Extremal Graphs" @default.
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- W1521087314 doi "https://doi.org/10.48550/arxiv.1411.6532" @default.
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