Abstract: A database engine includes one or more computing devices, each having one or more processors and memory. The memory stores programs configured for execution by the processors. The database engine receives a database query from a client, and parses the database query to build a query operator tree. The query operator tree includes a plurality of query operators. The database engine performs one or more optimization passes on the query operator tree, including a deduplication optimization pass, to form an optimized execution plan. The deduplication optimization pass includes determining that a first query operator is equivalent to a second query operator during a traversal of the query operator tree, and replacing the second query operator with a link to reuse results from the first query operator. The database engine executes the optimized execution plan to retrieve a result set from the database and returns the result set to the client.

Abstract: Techniques herein are for navigation data structures for graph traversal. In an embodiment, navigation data structures that a computer stores include: a source vertex array of vertices; a neighbor array of dense identifiers of target vertices terminating edges; a bidirectional map associating, for each vertex, a sparse identifier of the vertex with a dense identifier of the vertex; and a vertex array containing, when a dense identifier of a source vertex is used as an offset, a pair of offsets defining an offset range, for use with the neighbor array. The source vertex array, using the dense identifier of a particular vertex as an offset, contains an offset, into a neighbor array, of a target vertex terminating an edge originating at the particular vertex. The neighbor array contiguously stores dense identifiers of target vertices terminating edges originating from a same source vertex.

Abstract: A database engine includes one or more computing devices, each having one or more processors and memory. The memory stores programs configured for execution by the processors. The database engine receives a database query from a client, and parses the database query to build a query operator tree. The query operator tree includes a plurality of query operators. The database engine performs one or more optimization passes on the query operator tree, including a deduplication optimization pass, to form an optimized execution plan. The deduplication optimization pass includes determining that a first query operator is equivalent to a second query operator during a traversal of the query operator tree, and replacing the second query operator with a link to reuse results from the first query operator. The database engine executes the optimized execution plan to retrieve a result set from the database and returns the result set to the client.

Abstract: A database engine receives a database query from a client. The database engine parses the database query to build a query operator tree that includes a plurality of query operators. The database engine performs one or more optimization passes on the query operator tree, including a deduplication optimization pass, to form an optimized execution plan. The deduplication optimization pass includes: creating a list of query operators via a first traversal of the query operator tree, determining a first query operator that is equivalent to a second query operator, based on a hash map, via a second traversal of the query operator tree, and substituting, via a third traversal of the query operator tree, the second query operator with a tree node that links to the first query operator. The database engine executes the optimized execution plan to retrieve a result set from the database, and returns the result set.

Abstract: A database engine receives a database query from a client. The database engine parses the database query to build a query operator tree that includes a plurality of query operators. The database engine performs one or more optimization passes on the query operator tree, including a deduplication optimization pass, to form an optimized execution plan. The deduplication optimization pass includes: creating a list of query operators via a first traversal of the query operator tree, determining a first query operator that is equivalent to a second query operator, based on a hash map, via a second traversal of the query operator tree, and substituting, via a third traversal of the query operator tree, the second query operator with a tree node that links to the first query operator. The database engine executes the optimized execution plan to retrieve a result set from the database, and returns the result set.

Abstract: Techniques herein are for navigation data structures for graph traversal. In an embodiment, navigation data structures that a computer stores include: a source vertex array of vertices; a neighbor array of dense identifiers of target vertices terminating edges; a bidirectional map associating, for each vertex, a sparse identifier of the vertex with a dense identifier of the vertex; and a vertex array containing, when a dense identifier of a source vertex is used as an offset, a pair of offsets defining an offset range, for use with the neighbor array. The source vertex array, using the dense identifier of a particular vertex as an offset, contains an offset, into a neighbor array, of a target vertex terminating an edge originating at the particular vertex. The neighbor array contiguously stores dense identifiers of target vertices terminating edges originating from a same source vertex.

Abstract: Techniques herein are for navigation data structures for graph traversal. In an embodiment, navigation data structures that a computer stores include: a source vertex array of vertices; a neighbor array of dense identifiers of target vertices terminating edges; a bidirectional map associating, for each vertex, a sparse identifier of the vertex with a dense identifier of the vertex; and a vertex array containing, when a dense identifier of a source vertex is used as an offset, a pair of offsets defining an offset range, for use with the neighbor array. The source vertex array, using the dense identifier of a particular vertex as an offset, contains an offset, into a neighbor array, of a target vertex terminating an edge originating at the particular vertex. The neighbor array contiguously stores dense identifiers of target vertices terminating edges originating from a same source vertex.

Abstract: Techniques herein are for navigation data structures for graph traversal. In an embodiment, navigation data structures that a computer stores include: a source vertex array of vertices; a neighbor array of dense identifiers of target vertices terminating edges; a bidirectional map associating, for each vertex, a sparse identifier of the vertex with a dense identifier of the vertex; and a vertex array containing, when a dense identifier of a source vertex is used as an offset, a pair of offsets defining an offset range, for use with the neighbor array. The source vertex array, using the dense identifier of a particular vertex as an offset, contains an offset, into a neighbor array, of a target vertex terminating an edge originating at the particular vertex. The neighbor array contiguously stores dense identifiers of target vertices terminating edges originating from a same source vertex.