AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. Among n-vertex trees, the star has greatest nullity (equal to n−2). We generalize this by showing that among n-vertex trees whose vertex degrees do not exceed a certain value D, the greatest nullity is n−2⌈(n−1)/D⌉. Methods for constructing such maximum-nullity trees are described
Let G be a simple graph with n vertices. The rank of G is the number of non-zero eigenvalues of its ...
Recently, the nullity, the algebraic multiplicity of the number zero in the spectrum of the adjacenc...
For a graph G of order n, the maximum nullity of G is defined to be the largest possible nullity ove...
AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. Among n-v...
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
Abstract. The nullity of a graph G, denoted by (G), is the multiplicity of the eigenvalue zero in it...
AbstractThe spectrum of a graph G is the set of eigenvalues of the 0–1 adjacency matrix of G. The nu...
AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this p...
AbstractThe nullity of a graph is defined as the multiplicity of the eigenvalue zero in the spectrum...
AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this p...
Let T be a tree with n≥2 vertices. Set S(T) for the set of all real symmetric matrices whose graph i...
AbstractThe nullity of a graph is defined to be the multiplicity of the eigenvalue zero in the spect...
summary:The maximum nullity over a collection of matrices associated with a graph has been attractin...
Barrett et al. asked in [W. Barrett et al. Minimum rank of edge subdivisions of graphs. Electronic J...
AbstractFor a graph G of order n, the maximum nullity of G is defined to be the largest possible nul...
Let G be a simple graph with n vertices. The rank of G is the number of non-zero eigenvalues of its ...
Recently, the nullity, the algebraic multiplicity of the number zero in the spectrum of the adjacenc...
For a graph G of order n, the maximum nullity of G is defined to be the largest possible nullity ove...
AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. Among n-v...
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
Abstract. The nullity of a graph G, denoted by (G), is the multiplicity of the eigenvalue zero in it...
AbstractThe spectrum of a graph G is the set of eigenvalues of the 0–1 adjacency matrix of G. The nu...
AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this p...
AbstractThe nullity of a graph is defined as the multiplicity of the eigenvalue zero in the spectrum...
AbstractThe nullity of a graph is the multiplicity of the eigenvalue zero in its spectrum. In this p...
Let T be a tree with n≥2 vertices. Set S(T) for the set of all real symmetric matrices whose graph i...
AbstractThe nullity of a graph is defined to be the multiplicity of the eigenvalue zero in the spect...
summary:The maximum nullity over a collection of matrices associated with a graph has been attractin...
Barrett et al. asked in [W. Barrett et al. Minimum rank of edge subdivisions of graphs. Electronic J...
AbstractFor a graph G of order n, the maximum nullity of G is defined to be the largest possible nul...
Let G be a simple graph with n vertices. The rank of G is the number of non-zero eigenvalues of its ...
Recently, the nullity, the algebraic multiplicity of the number zero in the spectrum of the adjacenc...
For a graph G of order n, the maximum nullity of G is defined to be the largest possible nullity ove...
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