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Which celebs were up and which were down on the Internet this week?

Keeping tabs on the always-entertaining world of entertainment news, GossipCenter.com tracks celebrity online popularity 24/7 with their Gossip Center Hot 45 List.

Quickly ascending to the list thanks to her breakup, Ashley Olsen found herself in the pole position on the Hot 45 list at week’s end. And while the former “Full House” star was the chart-topper this time around, she saw her fair share of stiff competition from the likes of reality hottie Kim Kardashian and recently-fired “Two and a Half Men” star Charlie Sheen.

Let’s see how it all played out.

Usually doing a good job keeping her love life under wraps, Miss Olsen hit headlines on Wednesday upon reports that she had split with beau of two years, actor Justin Bartha. While details pertaining to the parting have managed to remain under wraps, multiple insiders have confirmed the end of Ashley and Justin’s relationship.

Slipping to the second slot on the GossipCenter Hot 45 List after being the biggest draw the previous week, Kim Kardashian remained a hot topic by introducing 13-year-old sister Kylie Jenner to Sin City for the first time and stepping out at Avril Lavigne’s record release party at the Plaza Hotel alongside NBA player boyfriend Kris Humphries.

Certainly the most-talked-about celebrity as of late, Charlie Sheen found himself in fourth after a week that included his firing from “Two and a Half Men,” multiple rants and the filing of a lawsuit for $100 million against Warner Bros. and Check Lorre. On top of this, Charlie has set viewing records with a new web series called “Sheen’s Korner” while also cranking out a “Funny or Die” cooking sketch and calling his former co-star Jon Cryer “a turncoat, a traitor, a troll.”

Another mover-upper was country darling Taylor Swift, who shot up to the Hot 45 List’s sixth placing thanks to a sizeable amount of interest in a story about Taylor signing a Kansas Jayhawks basketball jersey to help her Jayhawks swimmer friend and her teammates in the cash flow department. The jersey ended up selling for $1,005 after opening up at a $200 bid price.

On the disappearing side, Robert Pattinson fell all the way to 110th on the Hot List. The attention-less week comes as the “Twilight” heartthrob has been shielded from press as he films “Breaking Dawn” in Vancouver. Last week’s Hot 45 List saw Pattinson slated in the third position.

Check back next Friday to see how your favorite celebrities fared.

The Gossip Center Hot 45 List is calculated by looking at the popularity of the site's hottest stories, and determining which stars are on the rise, and who is crashing and burning. All of the articles, pictures and videos on the Gossip Center Network are scanned for activity, and the rankings are updated several times a day.