14 citations · 49 across the 22 of their papers we have counts for
4 papers · 2 filters
Arc Transitive Maps with underlying Rose Window Graphs
Isabel Hubard, Alejandra Ramos-Rivera, Primož Šparl
Let be a map with the underlying graph . The automorphism group induces a natural action on the set of all vertex-edge-face incident triples, called {…
Symmetry properties of generalized graph truncations
Eduard Eiben, Robert Jajcay, Primož Šparl
In the generalized truncation construction, one replaces each vertex of a -regular graph with a copy of a graph of order . We investigate the symmetry properties of t…
On the radius and the attachment number of tetravalent half-arc-transitive graphs
Primož Potočnik, Primož Šparl
In this paper, we study the relationship between the radius and the attachment number of a tetravalent graph admitting a half-arc-transitive group of automorphisms. These t…
-distance-balanced graphs
Stefko Miklavic, Primoz Sparl
Let denote a positive integer. A connected graph $\G$ of diameter at least is said to be {\it -distance-balanced} whenever for any pair of vertices of $\G…