edit; this article is for all intents and purposes outdated.
Last week I found out, during updating linux hosts, that Google has essentially stop supporting CentOS 6 and earlier for the Chrome webbrowser. There will probably be some reason for doing this. I'm not going to debate it, its their decision. The nice thing about open source though, is that people can (try to) adapt code so it will work.
the error you get when you run yum update is;
Error: Package: google-chrome-stable-28.0.1500.52-207119.x86_64 (google-chrome)
Requires: libstdc++.so.6(GLIBCXX_3.4.15)(64bit)
Here's the instructions I found to replace Chrome with Chromium and to keep using the same (essentially) browser, and keeping it up to date.
Remove Chrome first;
yum remove google-chrome-stable-* -y
and Google's repo;
rm -rf /etc/yum.repos.d/google-chrome.repo
Now create a new repo file with your preferred editor
vi /etc/yum.repos.d/chromium-el6.repo
and add the following lines
[chromium-el6]
name=CentOS-$releasever - Chromium EL6
baseurl=http://people.centos.org/hughesjr/chromium/6/$basearch/
gpgcheck=1
enabled=1
gpgkey=http://mirror.centos.org/centos/RPM-GPG-KEY-CentOS-Testing-6
then just install chromium
yum install chromium -y