48 citations · 169 across the 56 of their papers we have counts for
5 papers · 1 filter
On covers of graphs by Cayley graphs
Agelos Georgakopoulos
We prove that every vertex transitive, planar, 1-ended, graph covers every graph whose balls of radius r are isomorphic to the ball of radius r in G for a sufficiently large r. We…
The planar cubic Cayley graphs
Agelos Georgakopoulos
We obtain a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising…
The planar cubic Cayley graphs of connectivity 2
Agelos Georgakopoulos
We classify the planar cubic Cayley graphs of connectivity 2, providing an explicit presentation and embedding for each of them. Combined with [9] this yields a complete descriptio…
Characterising planar Cayley graphs and Cayley complexes in terms of group presentations
Agelos Georgakopoulos
We prove that a Cayley graph can be embedded in the euclidean plane without accumulation points of vertices if and only if it is the 1-skeleton of a Cayley complex that can be embe…
Lamplighter graphs do not admit harmonic functions of finite energy
Agelos Georgakopoulos
We prove that a lamplighter graph of a locally finite graph over a finite graph does not admit a non-constant harmonic function of finite Dirichlet energy.