Hypergraphs are a set of entities (aka vertices), and a set of Hyperedges much like in a regular graph. The difference is that entities can form a set of entities of their own, and Hyperedges connect more than two vertices, leading to a set.

In Hypergraphs, we simply define an indexed Hyperedge Administrator whose vertices are user vertices Alice, and Bob. Not only are queries easier and obtain more sophisticated information, it reduces graph traversal, but even more important is that it reduces graph maintenance of nodes and adjacencies as well, which play a critical part in computational complexity.

Zetafence leverages Hypergraphs externsively as a foundational data structure for modeling complex behavioral system. Our Discovery Agents construct these hypergraphs by identifying entities and their interconnections. These hypergraphs serve as the backbone for our backend security services, enabling sophisticated correlation analysis and threat detection. By representing entities and associations as hyperedges, we capture the intricate relationships within complex systems, allowing our platform to reason about vulnerabilities and potential attack paths in a holistic manner. To ensure efficient storage and retrieval, we persist these hypergraphs in a highly scalable, unstructured database like MongoDB.

Hypergraphs entities and associations are built entirely via Zetafance APIs, which are also available to users.

Evolution

Zetafence employs a dynamic approach to security by capturing the evolution of system through time-series Hypergraphs. These hypergraphs illustrate how entities and their relationships change over time, providing a comprehensive view of system behavior. By analyzing these temporal patterns, we can detect complex attack sequences, identify emerging threats, and predict potential attack paths. This proactive approach empowers organizations to stay ahead of adversaries and mitigate risks effectively.