The statement is false. In the BGP routing algorithm, each AS (autonomous system) advertises to all other ASes its estimates of the shortest distances from the AS to all other possible destinations. However, these estimates are not necessarily the shortest distances to all other ASes, and they may be based on various factors such as the AS's policies or the availability of different routes. In general, BGP routing is a complex process that involves the exchange of information between ASes to determine the most efficient routes for transmitting data between different parts of the internet.