1 citations · 1 across the 6 of their papers we have counts for
6 papers
Perfect state transfer and Cayley presentations
Arnbjörg Soffía Árnadóttir, Krystal Guo
We study perfect state transfer on Cayley graphs from the point of view that state transfer is a property of a graph and not of a group. This paper is a bridge between the classica…
Group Invariant Quantum Latin Squares
Arnbjörg Soffía Árnadóttir, David E. Roberson
A quantum Latin square is an array of unit vectors where each row and column forms an orthonormal basis of a fixed complex vector space. We introduce the notion of $(G…
Flow-critical graphs
Arnbjörg Soffía Árnadóttir, Zdeněk Dvořák, Bernard Lidický +3
Lovász et al. proved that every -edge-connected graph has a nowhere-zero -flow. In fact, they proved a more technical statement which says that there exists a nowhere zero $3…
Cayley Incidence Graphs
Arnbjörg Soffía Árnadóttir, Alexey Gordeev, Sabrina Lato +2
Evra, Feigon, Maurischat, and Parzanchevski (2023) introduced a biregular extension of Cayley graphs. In this paper, we reformulate their definition and provide some basic properti…
Quantum Sabidussi's Theorem
Arnbjörg Soffía Árnadóttir, Josse van Dobben de Bruyn, Prem Nigam Kar +2
Sabidussi's theorem [Duke Math. J. 28, 1961] gives necessary and sufficient conditions under which the automorphism group of a lexicographic product of two graphs is a wreath produ…
Trivalent vertex-transitive graphs with infinite vertex-stabilizers
Arnbjörg Soffía Árnadóttir, Waltraud Lederle, Rögnvaldur G. Möller
We study groups acting vertex-transitively on connected, trivalent graphs such that stabilizers of vertices are infinite. If the action is edge-transitive, we prove that the graph…