FACTBOX: Factors in debate on Gaza-Egypt border opening

(Reuters) - International negotiations are under way on reopening Egypt's border crossing with the Gaza Strip at Rafah to ensure supplies to Palestinians living under the rule of Hamas, which is shunned by its neighbors and world powers.

Here are key factors for the various parties involved:

ISRAEL:

- A 2005 accord gives it effective veto over access to Gaza through Rafah. It controls other land, sea and air borders

- Angry at Hamas rocket fire, wants to "disconnect" from Gaza while stemming international criticism of blockade strategy

- Wants to maintain security checks on movements into Gaza

HAMAS:

- Seeks supplies to stem discontent since it seized control in June from forces loyal to Palestinian President Mahmoud Abbas

- Israel accuses Hamas of smuggling in weapons from Egypt