Abstract: A computer-implemented method is provided for performing key lookups. The method comprises accessing a header of a given one of a plurality of nodes in a tree-based data index structure. The given node comprises the header and a plurality of partitions. Each partition comprises at least one key. The header of the given node comprises a selected key from each of a selected plurality of the partitions. The method also comprises choosing, using a search key, a selected key in the header. The method further comprises accessing a partition corresponding to the chosen selected key and selecting, using the search key, one of the at least one keys in the accessed partition. The selected one of the at least one keys can be used to access another of the plurality of nodes. Yet additional methods, apparatus, and program products are disclosed.

Abstract: A mechanism for end-to-end mobile e-business applications for migration of business processes and business context between two or more clients and servers to provide transparency and reliability given unreliable networks and systems is disclosed. The e-business applications include mobile purchasing, retail point of sales, and inventory replenishment. The design of the novel mechanism takes into consideration migration of business processes and business context between clients and servers making the business activities transparent to the user of the mobile clients or networked clients.

Abstract: A method of utilizing one or more hints for query processing over a hierarchical tagged data structure having a plurality of nodes in a computing system having memory, the hint being positive if there is a tag accessible in top-down traversal from a child node, and otherwise negative. For each tag in the data structure, the method calculates a bitmap for a current node with all bits set to 1 and for each child node, followed by AND-ing all child bitmaps and setting a bit corresponding to a tag ID of a current tag to zero if such current tag exists. The method further sets a bit of a current tag to 0, calculates a plurality of possible non-redundant hints for each child node, and refreshes a hint list.