Answers for "cascade update"

cascade delete on update

CREATE TABLE child (
        id INT, 
        parent_id INT,
        INDEX par_ind (parent_id),
        FOREIGN KEY (parent_id) 
            REFERENCES parent(id)
            ON UPDATE CASCADE ON DELETE CASCADE
    ) ENGINE=INNODB;

on update cascade

CREATE TABLE child (
    id INT, 
    parent_id INT,
    INDEX par_ind (parent_id),
    FOREIGN KEY (parent_id) 
        REFERENCES parent(id)
        ON UPDATE CASCADE
) ENGINE=INNODB;