Title
Some Notes On Spectra Of Cographs.
Abstract
A cograph is a P-4-free graph. We first give a short proof of the fact that 0 (-1) belongs to the spectrum of a connected cograph (with at least two vertices) if and only if it contains duplicate (resp. coduplicate) vertices. As a consequence, we next prove that the polynomial reconstruction of graphs whose vertex-deleted subgraphs have the second largest eigenvalue not exceeding root 5-1/2 is unique.
Year
Venue
Keywords
2011
ARS COMBINATORIA
cograph,characteristic polynomial,eigenvalues,polynomial reconstruction,sigma-graph
Field
DocType
Volume
Discrete mathematics,Graph,Combinatorics,Polynomial,Vertex (geometry),Spectral line,If and only if,Cograph,Eigenvalues and eigenvectors,Mathematics
Journal
100
ISSN
Citations 
PageRank 
0381-7032
4
0.55
References 
Authors
2
3
Name
Order
Citations
PageRank
Türker Bíyíkoglu1887.40
Slobodan K. Simic2224.91
Zoran Stanic340.88