Text this: More efficient periodic traversal in anonymous undirected graphs

  _____     ______             _    _     _____   
 /  ___||  /_   _//     ___   | || | ||  |__  //  
| // __     -| ||-     /   || | || | ||    / //   
| \\_\ ||   _| ||_    | [] || | \\_/ ||   / //__  
 \____//   /_____//    \__ ||  \____//   /_____|| 
  `---`    `-----`      -|_||   `---`    `-----`  
                         `-`