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## An algebraic approach to lifts of digraphs

Author
Fiol, M.; Dalfo, C.; Miller, M.; Ryan, J.; Siran, J.
Type of activity
Presentation of work at congresses
Name of edition
Algebraic and Extremal Graph Theory Conference 2017
Date of publication
2017
Presentation's date
2017-08-10
Book of congress proceedings
Algebraic and Extremal Graph Theory: a conference in honor of W. Haemers, F. Lazebnik, and A. Woldar): Delaware, USA: august 7-10, 2017: book of abstracts
First page
10
Last page
10
Abstract
We study the relationship between two key concepts in the theory of (di)graphs: the quotient digraph, and the lift $\Gamma^\alpha$ of a base (voltage) digraph. These techniques contract or expand a given digraph in order to study its characteristics, or obtain more involved structures. This study is carried out by introducing a quotient-like matrix, with complex polynomial entries, which fully represents $\Gamma^\alpha$. In particular, such a matrix gives the quotient matrix of a regular partit...
Keywords
Abelian group, Digraph, adjacency matrix, generalized Petersen graph., lifted digraph, quotient digraph, regular partition, spectrum, voltage digraphs
Group of research
COMBGRAPH - Combinatorics, Graph Theory and Applications