AbstractWe show that if μj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1⩽j⩽n) of a connected graph Γ on n vertices, then μj⩾dj-j+2(1⩽j⩽n-1). This settles a conjecture due to Guo
AbstractLet k be a natural number and let G be a graph with at least k vertices. Brouwer conjectured...
AbstractLet G=(V,E) be a simple graph. Denote by D(G) the diagonal matrix of its vertex degrees and ...
AbstractWe consider weighted graphs, such as graphs where the edge weights are positive definite mat...
AbstractIn this paper we determine the extremal graphs for which equality in de Caen's inequality ho...
AbstractWe show that if μj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree...
AbstractLet G=(V,E) be a simple graph. Denote by D(G) the diagonal matrix of its vertex degrees and ...
AbstractLet G be a simple connected graph with n vertices and m edges. Denote the degree of vertex v...
We show that if μj is the j-th largest Laplacian eigenvalue, and dj is the j-th largest degree (1 j ...
AbstractLet G be a graph on vertex set V=v1,v2,…,vn. Let di be the degree of vi, let Ni be the set o...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
If μm and dm denote, respectively, the m-th largest Laplacian eigenvalue and the m-th largest vertex...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
AbstractLet k be a natural number and let G be a graph with at least k vertices. Brouwer conjectured...
AbstractLet G=(V,E) be a simple graph. Denote by D(G) the diagonal matrix of its vertex degrees and ...
AbstractWe consider weighted graphs, such as graphs where the edge weights are positive definite mat...
AbstractIn this paper we determine the extremal graphs for which equality in de Caen's inequality ho...
AbstractWe show that if μj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree...
AbstractLet G=(V,E) be a simple graph. Denote by D(G) the diagonal matrix of its vertex degrees and ...
AbstractLet G be a simple connected graph with n vertices and m edges. Denote the degree of vertex v...
We show that if μj is the j-th largest Laplacian eigenvalue, and dj is the j-th largest degree (1 j ...
AbstractLet G be a graph on vertex set V=v1,v2,…,vn. Let di be the degree of vi, let Ni be the set o...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
If μm and dm denote, respectively, the m-th largest Laplacian eigenvalue and the m-th largest vertex...
We show that if µj is the jth largest Laplacian eigenvalue, and dj is the jth largest degree (1 = j ...
AbstractLet k be a natural number and let G be a graph with at least k vertices. Brouwer conjectured...
AbstractLet G=(V,E) be a simple graph. Denote by D(G) the diagonal matrix of its vertex degrees and ...
AbstractWe consider weighted graphs, such as graphs where the edge weights are positive definite mat...
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