Text this: On some locally 3-transposition graphs

 _    _    _    _    __   __    _____     ______  
| || | || | || | ||  \ \\/ //  |  ___||  /_____// 
| || | || | || | ||   \   //   | ||__    `____ `  
| \\_/ || | \\_/ ||   / . \\   | ||__    /___//   
 \____//   \____//   /_//\_\\  |_____||  `__ `    
  `---`     `---`    `-`  --`  `-----`   /_//     
                                         `-`