This is the 17246th most frequent Russian word.
суворовском
The Russian word "суворовском" is the prepositional case, singular form of the adjective "суворовский," which means "related to Suvorov" (a reference to Alexander Suvorov, a famous Russian military leader).
Here, "Суворовском" refers to a proper noun used to denominate a specific location, a street name.
Мы живём на Суворовском проспекте.
We live on Suvorov Prospect.
In this context, "Суворовском" is associated with a named event, specifically a chess tournament named after Suvorov.
На Суворовском турнире участвовали многие известные шахматисты.
Many famous chess players participated in the Suvorov Tournament.
Here, "Суворовском" relates to the heritage of Suvorov, denoting the adjectival form describing the legacy.