The calculated distance (air line) between Zvolen and Vranov nad Topľou is approximately 117 miles respectively 189 kilometers.
By car or train, the actual journey to Vranov nad Topľou is certainly longer, as only the direct route (as the crow flies) between Zvolen and Vranov nad Topľou has been calculated here.
Air line (approximately)
189 kilometers
102 nautical miles