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NYT: Facebook concerned about search neutrality

"Larry Yu, a Facebook spokesman, said his company expected competitors large and small to emerge but was focused on building a valuable service," the report says. 

Google says it does not favor its own products in its search listings and is instead focused on providing users with the most relevant results. Critics have claimed that its power to bury certain sites, should it decide to, is a major competitive advantage.

The article also looks at the ways Google and Facebook compete. Facebook grows as a threat to Google as it becomes more popular, according to the piece. 

"Google sites, including the search engine and YouTube, get more unique visitors than Facebook. But in August, for the first time, people spent more time on Facebook than on Google sites, according to comScore, the Web analytics firm," the report says.