Zobrazeno 1 - 4
of 4
pro vyhledávání: '"Arnbjörg Soffía Árnadóttir"'
Publikováno v:
Árnadóttir, A S & Godsil, C 2023, ' On state transfer in Cayley graphs for abelian groups ', Quantum Information Processing, vol. 22, no. 1, 8 . https://doi.org/10.1007/s11128-022-03751-y
In this paper, we characterize perfect state transfer in Cayley graphs for abelian groups that have a cyclic Sylow-2-subgroup. This generalizes a result of Ba\v{s}i\'c from 2013 where he provides a similar characterization for Cayley graphs of cyclic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe3ab0196f76ed89a3dffcec6ba856be
https://orbit.dtu.dk/en/publications/fce4722a-849a-4560-b5b7-875f7bf6b44b
https://orbit.dtu.dk/en/publications/fce4722a-849a-4560-b5b7-875f7bf6b44b
Publikováno v:
Árnadóttir, A S, Lederle, W & Möller, R G 2022, ' On Infinite, Cubic, Vertex-Transitive Graphs with Applications to Totally Disconnected, Locally Compact Groups ', Electronic Journal of Combinatorics, vol. 29, no. 4, P4.35 . https://doi.org/10.37236/10709
The Electronic Journal of Combinatorics, Vol. 29, no.4, p. np (2022)
The Electronic Journal of Combinatorics, Vol. 29, no.4, p. np (2022)
We study groups acting vertex-transitively and non-discretely on connected, cubic graphs (regular graphs of degree 3). Using ideas from Tutte's fundamental papers in 1947 and 1959, it is shown that if the action is edge-transitive, then the graph has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5345a0eb5a727cfd323caf958109a5bc
https://doi.org/10.37236/10709
https://doi.org/10.37236/10709
Publikováno v:
Discrete Mathematics. 346:113341
We prove an upper bound on the number of pairwise strongly cospectral vertices in a normal Cayley graph, in terms of the multiplicities of its eigenvalues. We use this to determine an explicit bound in Cayley graphs of $\mathbb{Z}_2^d$ and $\mathbb{Z
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a53e5ab051e91278c1ca4d91c59d7bd8
https://doi.org/10.1016/j.disc.2023.113341
https://doi.org/10.1016/j.disc.2023.113341
Publikováno v:
Australian Mathematical Society. Journal, Vol. np, no.np, p. 1-33 (2022)
A connected, locally finite graph $\Gamma $ is a Cayley–Abels graph for a totally disconnected, locally compact group G if G acts vertex-transitively on $\Gamma $ with compact, open vertex stabilizers. Define the minimal degree of G as the minimal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::162e3c11bda5c1b367545f848ddab0ea
https://hdl.handle.net/2078.1/271739
https://hdl.handle.net/2078.1/271739