pop punk is a style of music that combines the fast-paced rock rhythms of punk, and catchy hooks and melodies of pop. YES, bands like bowling for soup, fall out boy, relient k are considered pop punk. they have fast punk rhythms of normally 3-4 chords, but have catchy pop melodies. If you're going to say that pop punk isn't true punk, the ramones (the first punk band) had catchy fun light-hearted songs. Then the sex pistols came in and turned it into a political thing. pop punk is NOT powerpop (the click five, we the kings, boys like girls, etc.) people who listen to pop punk often appreciate the catchy melodies over the faced paced punk riffs.
Pop Punk - Blink 182, Good Charlotte, New Found Glory, Simple Plan, Bowling For Soup, All Time Low (before dirty work), Relient K, Green Day (later), Motion City Soundtrack, Fall Out Boy, FM Static, etc.