Text this: Graphs with three eigenvalues and second largest eigenvalue at most 1

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