The answer is: Increasing the surface area of the core increases the chances of collision taking place.
Increasing the number of collisions per second increases the rate of reaction.
A catalytic converter has core, washcoat and catalyst.
Core is a ceramic or stainless steel honeycomb that supports the catalyst.
Usually converter is made from platinum, palladium or rhodium.
Reactions occur faster with a catalyst because they require less activation energy.
Catalytic converter splitts up the molecules after they leave a a mobile source (for example car's engine) and before they get released into the air.
It reduces emissions rather than eliminate them completely.