Techniques to improve a schedule with optimization

An apparatus, comprising:

• computer memory;
• a processing circuit;
• and
• logic stored in the computer memory and executed on the processing circuit, the logic operative to cause the processing circuit to:
• process interaction data communicated between devices over at least one of an internal network, an external network, or a combination thereof, the interaction data comprising interaction indications for one or more potential candidates to schedule one or more meetings in a schedule, the interaction indications comprising indirect interactions for the one or more of the potential candidates having more than one degree of separation from a user and direct interactions for the one or more of the potential candidates having one degree of separation from the user;
• generate relationship data associated with the potential candidates for the one or more meetings in the schedule from the interaction indications;
• generate, from the relationship data, a connectivity network comprising links with the potential candidates, each link of the links corresponding to a relevance value between the user and a specific potential candidate, and wherein each relevance value represents a relationship between the user and the specific potential candidate;
• perform a combinatorial optimization technique on the connectivity network and availability data of the potential candidates to determine meeting data comprising an arrangement of meetings increasing relevancy of the schedule, the availability data being operative to reduce a search space for the arrangement of meetings to open meeting spaces of the user;
• and
• communicate a control directive to an application programming interface (API) of an enterprise application based on the meeting data.