Installing MySQL on CentOS throws error that cannot find mysqld.sock

I have yum install mysql in **CentOS 6.4**. Now, when I use mysql command, it throws the following error: ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' When I check the directory there is no mysql folder. How should I solve this problem? It's worth mentioning when I do service mysql start (or with mysqld) it errors **unrecognized service**. I should mention that I have changed the path in my.cnf but nothing happens. The problem is that no *.sock file exists at all. **Update**: Results of checking mysql process with mysqladmin -u root -p status returns: mysqladmin: connect to server at 'localhost' failed error: 'Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)' Check that mysqld is running and that the socket: '/var/run/mysqld/mysqld.sock' exists! Also when I directly want to run /etc/init.d/mysqld it errors that it cannot resolve the ip (localhost.localdomain). **Second Update:** I have run the command [root@localhost /]# rpm -qa | grep mysql and it returns: mysql-libs-5.1.73-3.el6_5.x86_64 mysql-libs-5.1.73-3.el6_5.i686 mysql-5.1.73-3.el6_5.x86_64 mysql-server-5.1.73-3.el6_5.i686