Abstract: Systems and methods are described for authorizing access to resources to entities by representing objects in a graph database. Entities and resources are represented by nodes in the graph, and permissions by edges connecting the nodes. Nodes may be grouped into groupings, the inclusion of a node in a group being represented by an edge. The graph comprises one or more bipartite graphs, such that nodes of one set do not have edges connecting nodes in the set. Navigation of the graph is performed to determine permissions for the entity to access the resources, such as by utilizing edges and inverse edges in the graph to walk a path to the center of the graph, the edges being associated with the permission required to perform the access.

Abstract: Described are techniques for configuring a selected audio device of a group of audio devices to send audio data to multiple other devices to enable the devices to provide a synchronized audio output. Link quality values indicative of the quality of communication links between audio devices and an access point and between different audio devices may be used to form subsets of devices in which a first master device receives audio data from a data source, provides data to other master devices via the access point. A value indicative of the airtime that would be used to communicate data to other audio devices may be determined for at least a portion of the audio devices. Additional subsets of audio devices may be formed if the airtime for the existing subset does not exceed a maximum quantity of airtime.

Abstract: A system, method, and computer readable medium for managing secure content by CDN service providers are provided. A network storage provider stores one or more resources on behalf of a content provider. A CDN service provider obtains client computing device requests for secure content. Based on processing first signature information, the CDN service provider determines whether the secure content is available to the client computing device. If the CDN service provider does not maintain the requested content, the CDN service provider transmits a request to the network storage provider. Based on second signature information and an identifier associated with the CDN service provider, the network storage provider processes the request based policy information associated with the identifier.