4 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…
Flow-critical graphs
Arnbjörg SoffÃa Ãrnadóttir, ZdenÄk DvoÅák, 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 $…
Group Invariant Quantum Latin Squares
Arnbjörg SoffÃa Ãrnadóttir, 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…
Cayley Incidence Graphs
Arnbjörg SoffÃa Ãrnadóttir, 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…