It is not permissible to recite the Qur'an and dedicate its rewards to the dead. Likewise, it is not permissible to recite the Qur'an at the graves.
It is not authentically reported that the Prophet (peace be upon him) specified a day for visiting the graves. In fact, he used to visit the graves at any time without specification, (Part No. 9; Page No. 63) and all good lies in following in his footsteps. Also, it is not authentically reported that Allah returns the spirits to the dead on Fridays or `Eid days specifically to reply to the greetings of those who greet them in their graves.May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.