An algebraic approach to lifts of digraphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43964119" target="_blank" >RIV/49777513:23520/19:43964119 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0166218X18305870#" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0166218X18305870#</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.dam.2018.10.040" target="_blank" >10.1016/j.dam.2018.10.040</a>

Result language
angličtina
Original language name
An algebraic approach to lifts of digraphs
Original language description
We present some applications of a new matrix approach for studying the properties of the lift Γ α of a voltage digraph, which has arcs weighted by the elements of a group. As a main result, when the involved group is Abelian, we completely determine the spectrum of Γ α . As some examples of our technique, we study some basic properties of the Alegre digraph, and completely characterize the spectrum of a new family of digraphs, which contains the generalized Petersen graphs, and the Hoffm
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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