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Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

Spectra of weighted rooted graphs having prescribed subgraphs at some levels.

Rojo, Oscar; Robbiano, Maria; Cardoso, Domingos M.; Martins, Enide A. — 2011

ELA. The Electronic Journal of Linear Algebra [electronic only]

Relations between $(κ, τ)$ -regular sets and star complements

Milica Anđelić; Domingos M. Cardoso; Slobodan K. Simić — 2013

Czechoslovak Mathematical Journal

Let $G$ be a finite graph with an eigenvalue $μ$ of multiplicity $m$ . A set $X$ of $m$ vertices in $G$ is called a star set for $μ$ in $G$ if $μ$ is not an eigenvalue of the star complement $G ∖ X$ which is the subgraph of $G$ induced by vertices not in $X$ . A vertex subset of a graph is $(κ, τ)$ -regular if it induces a $κ$ -regular subgraph and every vertex not in the subset has $τ$ neighbors in it. We investigate the graphs having a $(κ, τ)$ -regular set which induces a star complement for some eigenvalue. A survey of known results is provided...

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