As I explained previously, the best martial art for zombiggeddon is a weapon-based art. Forget going hand-to-hand with the walking dead, you need a keen blade or stout stick. Filipino Martial Arts (FMA) are awesome for this role.
Here's part of the Human Weapon episode on covering "escrima" which is used as a catch-all term for FMA. Don't think training with sticks is second best; those sticks stand-in for machetes, bolos, and other large jungle knives. So this episode will provide an overview on why FMA are tailor-made for zombie eradication.