influence — the capacity or power of persons or things to be a compelling force on or produce effects on the actions, behavior, opinions, etc., of others: He used family influence to get the contract.
network — any netlike combination of filaments, lines, veins, passages, or the like: a network of arteries; a network of sewers under the city.
contacts — the act or state of touching; a touching or meeting, as of two things or people.
