Browsing by Author "Siran, Josef"
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An algebraic approach to lifts of digraphs
Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel; Miller, Mirka; Ryan, Joe; Siran, Josef (2019-09)
Article
Open AccessWe study the relationship between two key concepts in the theory of (di)graphs: the quotient digraph, and the lift Ga of a base (voltage) digraph. These techniques contract or expand a given digraph in order to study its ... -
On the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs
Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel; Pavlíková, Sona; Siran, Josef (Taylor & Francis, 2022-02-19)
Article
Open AccessThe universal adjacency matrix U of a graph G, with adjacency matrix A, is a linear combination of A, the diagonal matrix D of vertex degrees, the identity matrix I, and the all-1 matrix J with real coefficients, that is, ... -
Spectra and eigenspaces of arbitrary lifts of graphs
Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel; Pavlíková, Sona; Siran, Josef (2021-09)
Article
Open AccessWe describe, in a very explicit way, a method for determining the spectra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regular or not). -
Spectra and eigenspaces of arbitrary lifts of graphs
Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel; Pavlíková, Sona; Siran, Josef (2019)
Article
Open AccessWe describe, in a very explicit way, a method for determining the spectra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regular or not) -
The spectra of lifted digraphs
Dalfó Simó, Cristina; Fiol Mora, Miquel Àngel; Siran, Josef (2019-01)
Article
Open AccessWe present a method to derive the complete spectrum of the lift Ga of a base digraph G, with voltage assignment a on a (finite) group G. The method is based on assigning to G a quotient-like matrix whose entries are ...