We consider signed graphs with just 2 or 3 distinct eigenvalues, in particular (i) those with at least one simple eigenvalue, and (ii) those with vertexdeleted subgraphs which themselves have at most 3 distinct eigenvalues. We also construct new examples using weighing matrices and symmetric 3-class association scheme
Abstract Let Γ = ( G , σ ) be a connected signed graph, where G is the underlying simple graph and σ...
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Start...
AbstractIn this article we examine the adjacency and Laplacian matrices and their eigenvalues and en...
summary:We investigate signed graphs with just 2 or 3 distinct eigenvalues, mostly in the context of...
In this paper our focus is on regular signed graphs with exactly 3 (distinct) eigenvalues. We establ...
We investigate properties of signed graphs that have few distinct eigenvalues together with a symmet...
summary:An eigenvalue of a real symmetric matrix is called main if there is an associated eigenvecto...
AbstractWe study nonregular graphs with three eigenvalues. We determine all the ones with least eige...
We present the first steps towards the determination of the signed graphs for which the adjacency ma...
A signed graph is a pair Γ = (G, σ), where G = (V (G), E(G))is a graph and σ : E(G) → {+, −} is the ...
For α∈[0,1], let Aα(Gσ)=αD(G)+(1−α)A(Gσ), where G is a simple undirected graph, D(G) is the diagonal...
We investigate the problem of finding all the biregrular graphs with just three adjacency eigenvalue...
An important facet of the inverse eigenvalue problem for graphs is to determine the minimum number o...
A signed graph is a pair Γ = (G,σ), where G = (V(G),E(G)) is a graph and σ : E(G)→{+1,−1} is the sig...
AbstractWe give a combinatorial characterization of graphs whose normalized Laplacian has three dist...
Abstract Let Γ = ( G , σ ) be a connected signed graph, where G is the underlying simple graph and σ...
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Start...
AbstractIn this article we examine the adjacency and Laplacian matrices and their eigenvalues and en...
summary:We investigate signed graphs with just 2 or 3 distinct eigenvalues, mostly in the context of...
In this paper our focus is on regular signed graphs with exactly 3 (distinct) eigenvalues. We establ...
We investigate properties of signed graphs that have few distinct eigenvalues together with a symmet...
summary:An eigenvalue of a real symmetric matrix is called main if there is an associated eigenvecto...
AbstractWe study nonregular graphs with three eigenvalues. We determine all the ones with least eige...
We present the first steps towards the determination of the signed graphs for which the adjacency ma...
A signed graph is a pair Γ = (G, σ), where G = (V (G), E(G))is a graph and σ : E(G) → {+, −} is the ...
For α∈[0,1], let Aα(Gσ)=αD(G)+(1−α)A(Gσ), where G is a simple undirected graph, D(G) is the diagonal...
We investigate the problem of finding all the biregrular graphs with just three adjacency eigenvalue...
An important facet of the inverse eigenvalue problem for graphs is to determine the minimum number o...
A signed graph is a pair Γ = (G,σ), where G = (V(G),E(G)) is a graph and σ : E(G)→{+1,−1} is the sig...
AbstractWe give a combinatorial characterization of graphs whose normalized Laplacian has three dist...
Abstract Let Γ = ( G , σ ) be a connected signed graph, where G is the underlying simple graph and σ...
We study the spectra of cyclic signatures of finite graphs and the corresponding cyclic lifts. Start...
AbstractIn this article we examine the adjacency and Laplacian matrices and their eigenvalues and en...