I'm creating an extension which deletes history. I managed to delete history using this function provided from Chrome:
var millisecondsPerWeek = 1000 * 60 * 60 * 24 * 7;
var oneWeekAgo = (new Date()).getTime() - millisecondsPerWeek;
chrome.browsingData.remove({
"since": oneWeekAgo
}, {
"appcache": true,
"cache": true,
"cookies": true,
"downloads": true,
"fileSystems": true,
"formData": true,
"history": true,
"indexedDB": true,
"localStorage": true,
"pluginData": true,
"passwords": true,
"webSQL": true
}, callback);
But sites visited during this period appear in that Most Visited section of New Tab in Chrome.