A system and method for muting interactions to contact center agents. The system is adapted to identify a network of agents and customers. Each node of the network represents either an agent or a customer, and a connection is made between the node representing the agent and the node representing the customer, in response to identifying a fit between the customer and the agent. The system is adapted to identify a current interaction to be routed, identify a first group of agents based on one or more constraints for generating one or more candidate agents, and determine the fit between a current customer and each of the candidate agents based on the network of agents and customers. The system is further adapted to select a particular agent of the candidate agents with a best fit, and transmit a signal for routing the current interaction to the particular agent.