Some examples of quantum graphs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F22%3A00363356" target="_blank" >RIV/68407700:21230/22:00363356 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11005-022-01603-5" target="_blank" >https://doi.org/10.1007/s11005-022-01603-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11005-022-01603-5" target="_blank" >10.1007/s11005-022-01603-5</a>

Result language
angličtina
Original language name
Some examples of quantum graphs
Original language description
We summarize different approaches to the theory of quantum graphs and provide several ways to construct concrete examples. First, we classify all undirected quantum graphs on the quantum space M-2. Secondly, we apply the theory of 2-cocycle deformations to Cayley graphs of abelian groups. This defines a twisting procedure that produces a quantum graph, which is quantum isomorphic to the original one. For instance, we define the anticommutative hypercube graphs. Thirdly, we construct an example of a quantum graph, which is not quantum isomorphic to any classical graph.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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