AbstractFor acyclic and unicyclic graphs we determine a necessary and sufficient condition for a graph G to be singular. Further, it is shown that this characterization can be used to construct a basis for the null-space of G
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
A singular graph, with adjacency matrix A and one zero eigenvalue, has a corresponding eigenvector v...
AbstractIn this note, we study the null space structure of singular real symmetric matrices with und...
AbstractFor acyclic and unicyclic graphs we determine a necessary and sufficient condition for a gra...
Characterization of singular graphs can be reduced to the non-trivial solutions of a system of linea...
A graph G is singular if the zero-one adjacency matrix has the eigenvalue zero. The multiplicity of ...
AbstractThis paper studies singular graphs by considering minimal singular induced subgraphs of smal...
We characterize unicyclic graphs that are singular using the support of the null space of their pend...
AbstractLet G be a simple graph of order n and A(G) be its adjacency matrix. The nullity of a graph ...
Let Γ be a simple graph on a finite vertex set V and let A be its adjacency matrix. Then Γ is said to...
AbstractThe nullity of a graph is defined as the multiplicity of the eigenvalue zero in the spectrum...
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
A graph G is singular of nullity η if the nullspace of its adjacency matrix G has dimension η. Such ...
In this work, we study the structure of the null spaces of matrices associated with graphs. Our prim...
AbstractA connected graph with a unique cycle is called a unicyclic graph. A unicyclic graph with de...
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
A singular graph, with adjacency matrix A and one zero eigenvalue, has a corresponding eigenvector v...
AbstractIn this note, we study the null space structure of singular real symmetric matrices with und...
AbstractFor acyclic and unicyclic graphs we determine a necessary and sufficient condition for a gra...
Characterization of singular graphs can be reduced to the non-trivial solutions of a system of linea...
A graph G is singular if the zero-one adjacency matrix has the eigenvalue zero. The multiplicity of ...
AbstractThis paper studies singular graphs by considering minimal singular induced subgraphs of smal...
We characterize unicyclic graphs that are singular using the support of the null space of their pend...
AbstractLet G be a simple graph of order n and A(G) be its adjacency matrix. The nullity of a graph ...
Let Γ be a simple graph on a finite vertex set V and let A be its adjacency matrix. Then Γ is said to...
AbstractThe nullity of a graph is defined as the multiplicity of the eigenvalue zero in the spectrum...
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
A graph G is singular of nullity η if the nullspace of its adjacency matrix G has dimension η. Such ...
In this work, we study the structure of the null spaces of matrices associated with graphs. Our prim...
AbstractA connected graph with a unique cycle is called a unicyclic graph. A unicyclic graph with de...
AbstractThe nullity of a graph G, denoted by η(G), is the multiplicity of the eigenvalue zero in its...
A singular graph, with adjacency matrix A and one zero eigenvalue, has a corresponding eigenvector v...
AbstractIn this note, we study the null space structure of singular real symmetric matrices with und...
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