Lukas Lacko was no match for Roger Federer, who continues to enjoy his game at the age of 36.
Caroline Wozniacki was bugged by insects, court conditions and the form of Ekaterina Makarova as she crashed out of Wimbledon.
The seeds are tumbling at Wimbledon, but Serena Williams remains, and looked in increasingly ominous form in reaching round three.
Lukas Lacko worked hard to stay in the match against Roger Federer, but he failed to trouble the comfortable defending champion.
Andre Agassi says Roger Federer has become more efficient with age and "makes it look easy".
Despite a maiden first-round exit at Wimbledon, Maria Sharapova believes she is on the right track.
There were mixed fortunes for the biggest names on the WTA Tour on Tuesday as they played their Wimbledon openers.
Three big names headed through at Wimbledon on Tuesday, but Dominic Thiem and David Goffin were among those to depart.
Only three sets were required for Novak Djokovic to race past Tennys Sandgren in pursuit of a fourth Wimbledon title.
World number one Simona Halep cruised through her opening Wimbledon match, beating Kurumi Nara 6-2 6-4 on Centre Court.