Some Comments on the Eigenspaces of Graphs
Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 24
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We continue the investigations on the relations between
eigenvalues, eigenspaces and the structure of graphs. The angles
between eigenspaces and the axes of a standard basis of $\R^n$ play an
important role. A general problem is how to construct graphs with the
given eigenvalues and angles. In particular, we treat connectivity and
metric properties, reconstruction of unicyclic and bicyclic graphs,
etc. The results are mostly of an algorithmic character rather than in
form of explicit characterization theorems. Therefore we propose to
treat these problems with the aid of a computer using artificial
intelligence means.
Classification :
05C50
@article{PIM_1991_N_S_50_64_a4,
author = {Drago\v{s} M. Cvetkovi\'c},
title = {Some {Comments} on the {Eigenspaces} of {Graphs}},
journal = {Publications de l'Institut Math\'ematique},
pages = {24 },
year = {1991},
volume = {_N_S_50},
number = {64},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a4/}
}
Dragoš M. Cvetković. Some Comments on the Eigenspaces of Graphs. Publications de l'Institut Mathématique, _N_S_50 (1991) no. 64, p. 24 . http://geodesic.mathdoc.fr/item/PIM_1991_N_S_50_64_a4/