PALO ALTO, Calif.

EVERY Monday a bit before 10 a.m., Sheryl Sandberg, Facebook’s chief operating officer, dashes off a quick e-mail to her boss, Mark Zuckerberg. “We have a routine,” Ms. Sandberg says. “I e-mail, ‘Coming in?’ He replies, ‘On my way.’ ”

A few minutes later, Mr. Zuckerberg, Facebook’s co-founder and chief executive, walks into the company’s headquarters here, says a few hellos and heads to a conference room where he and Ms. Sandberg huddle for an hour. The two executives end the week the same way, with a closed-door meeting on Friday afternoon. They discuss products, strategy, deals, personnel — and each other.

“We agreed that we would give each other feedback every Friday,” Ms. Sandberg says. “We are constantly flagging things. Nothing ever builds up.” At a recent meeting, for instance, they ironed out a disagreement between them over the details of Mr. Zuckerberg’s pledge to give $100 million to schools in Newark.

If all of that sounds a bit touchy-feely, well, it is. Ms. Sandberg, a well-regarded Internet executive, is known for her interpersonal skills as much as for her sharp intellect. And her regular meetings with the famously introverted Mr. Zuckerberg have helped to keep one of Silicon Valley’s most unusual business partnerships working wonders for Facebook.