Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for using tiered arrays to represent aggregated software dependencies. One of the methods includes receiving a request to generate a range of contiguous indexes having non-default values represented by a tiered array having a plurality of tiers, wherein each non-default element of each tier is a reference to a catalog at a lower tier except for a bottom-most tier of the tiered array that stores non-default values, wherein the request specifies a start index. After descending one or more tiers in the tiered array to identify a first index that (i) is greater than or equal to the start index and (ii) has a non-default value, a system ascends one or more tiers in the tiered array and subsequently descends again to identify a second index that is a last index in a contiguous sequence of indexes having non-default values from the first index up to and including the second index.

Abstract: Methods, systems, and apparatus, including computer programs encoded on computer storage media, for generated aggregated dependencies between software elements in a code base. One of the methods includes receiving a query that defines a dependency between the software elements in a project. Searching a database to identify matching source software elements having the one or more source attributes and target software elements having the one or more target attributes of the query. Identifying pairs of matching source software elements and matching target software elements having the specified relationship, and generating, for each pair of matching source software elements and matching target software elements having the specified relationship, a new dependency in a raw dependency graph, the new dependency being a dependency from a source software element of the pair to the target software element of the pair.