BEST (Business / Enterprise State Transfer) is an architectural approach for exchanging content with a Web site or Web services and is similar to REST or SOAP.
GraphQL is a query language that describes how a client should request information through an application programming interface (API). In a broad sense, GraphQL is a syntax that developers can use to ask for specific data and return that data from multiple sources. Once the client defines the structure of the data needed, the exact same structure of data is returned from the server.
REST (REpresentational State Transfer) is an architectural style for developing web services. REST is popular due to its simplicity and the fact that it builds upon existing systems and features of the internet's HTTP in order to achieve its objectives, as opposed to creating new standards, frameworks and technologies.
WebDAV (World Wide Web Distributed Authoring and Versioning) is the Internet Engineering Task Force (IETF) standard for collaborative authoring on the Web: a set of extensions to the Hypertext Transfer Protocol (HTTP) that facilitates collaborative editing and file management between users located remotely from each other on the Internet.