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- W4300753500 abstract "Let $G=left( Vleft( Gright) ,Eleft( Gright) right) $ be an $left( n,mright) $-graph and $X$ a nonempty proper subset of $Vleft( Gright) $. Let $X^{c}=Vleft( Gright) backslash X$. The edge density of $X$ in $G$ is given by begin{equation*} rho _{G}left( Xright) =frac{nleftvert E_{X}left( Gright) rightvert }{leftvert Xrightvert leftvert X^{c}rightvert }, end{equation*} where $E_{X}left( Gright) $ is the set of edges in $G$ with one end in $% X $ and the other in $X^{c}$. The Laplacian spread of a graph is the difference between the greatest Laplacian eigenvalue and the algebraic connectivity. In this paper, we use the edge density of some nonempty proper subsets of vertices in $G$ to establish new lower bounds for the Laplacian spread. Also, using some known numerical inequalities some lower bounds for the Laplacian spread of a graph with a prescribed degree sequence are presented." @default.
- W4300753500 created "2022-10-04" @default.
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- W4300753500 date "2018-05-30" @default.
- W4300753500 modified "2023-09-30" @default.
- W4300753500 title "Lower bounds for Laplacian spread and relations with invariant parameters revisited" @default.
- W4300753500 doi "https://doi.org/10.48550/arxiv.1805.12250" @default.
- W4300753500 hasPublicationYear "2018" @default.
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