Swag walking is a technique that involves a character's turn a round animation, doing so repeatedly will result in slight movement left or right. Some characters move more distance than others one of the most notable Palutena since she moves about 3~4x the distance of your average character
It's input by slightly shifting in one direction as if to do a walk, then instantly turning in the other direction. If done correctly your character should have moved in the second direction very slightly.
As most Palutena players know, compared to other characters, Palutena has a significantly larger amount of movement with her walking turn around animation. This can be used to an advantage in a match so let's go over a few applications.
There's truly an app for everything including Palutena's swag walk. One powerful use for this is ledge guarding on stage. When the opponent grabs the ledge start swag walking back and forth, as soon as you see them choose a ledge option you can punish with anything in Palutena's kit you see best fit including all of her tilts and most notably grabs and smashes. The momentum from the turn around should be fast enough to even turn around up smash ledge jump and grab normal get up and ledge roll. Now I know what you're thinking "if I want to grab I can just dash grab" and yes you can, however standing grab has significantly less ending lag than dash grab so if you miss you're left vulnerable for fewer frames. Standing grab also comes out faster than dash grab so there is a smaller chance to whiff. This can be the difference between shield and a megaman up tilt to the chin. This also allows you to space smashes at the ledge most notably up and forward smash. It's also a pretty nifty movement option when you want to space you jab (or tilts) but PP is more useful in most cases. It should also be noted when doing a full speed walk (yes walk that is a thing in this game) and you input the opposite direction your momentum keeps going in the direction you were walking in, you can use walk > bair as an option without haulting your momentum like dash > bair
I hope you find this thread helpful and I'll put some examples in.
https://youtu.be/aETNLXeDua4 0:59 >1:21 and 3:00 > END