[
  {
    "g": "A_",
    "order": 2,
    "comment": "This is the complete graph $K_2$."
  },
  {
    "g": "BW",
    "order": 3,
    "comment": "This is the path $P_3$."
  },
  {
    "g": "Bw",
    "order": 3,
    "comment": "This is the complete graph $K_3$."
  },
  {
    "g": "CF",
    "order": 4,
    "comment": "This is the star $K_{1,3}$."
  },
  {
    "g": "CL",
    "order": 4,
    "comment": "This is the path $P_4$."
  },
  {
    "g": "CN",
    "order": 4
  },
  {
    "g": "C]",
    "order": 4,
    "comment": "This is the cycle $C_4$."
  },
  {
    "g": "C^",
    "order": 4,
    "comment": "This is the diamond graph."
  },
  {
    "g": "C~",
    "order": 4,
    "comment": "This is the complete graph $K_4$."
  },
  {
    "g": "D?{",
    "order": 5,
    "comment": "This is the star $K_{1,4}$."
  },
  {
    "g": "D@s",
    "order": 5
  },
  {
    "g": "D@{",
    "order": 5
  },
  {
    "g": "DBg",
    "order": 5,
    "comment": "This is the path $P_5$."
  },
  {
    "g": "DBk",
    "order": 5,
    "comment": "This is the bull graph."
  },
  {
    "g": "DB{",
    "order": 5,
    "comment": "This is the dart graph."
  },
  {
    "g": "DFw",
    "order": 5,
    "comment": "This is the complete bipartite graph $K_{2,3}$."
  },
  {
    "g": "DF{",
    "order": 5
  },
  {
    "g": "DIk",
    "order": 5
  },
  {
    "g": "DJk",
    "order": 5
  },
  {
    "g": "DJ{",
    "order": 5
  },
  {
    "g": "DK[",
    "order": 5
  },
  {
    "g": "DK{",
    "order": 5,
    "comment": "This is the butterfly graph."
  },
  {
    "g": "DLo",
    "order": 5,
    "comment": "This is the cycle $C_5$."
  },
  {
    "g": "DL{",
    "order": 5
  },
  {
    "g": "DNw",
    "order": 5
  },
  {
    "g": "DN{",
    "order": 5,
    "comment": "This is the house X graph."
  },
  {
    "g": "D]{",
    "order": 5,
    "comment": "This is the wheel $W_5$."
  },
  {
    "g": "D^{",
    "order": 5
  },
  {
    "g": "Dbk",
    "order": 5,
    "comment": "This is the house graph."
  },
  {
    "g": "D~{",
    "order": 5,
    "comment": "This is the complete graph $K_5$."
  },
  {
    "g": "E?Bw",
    "order": 6,
    "comment": "This is the star $K_{1,5}$."
  },
  {
    "g": "E?Fg",
    "order": 6
  },
  {
    "g": "E?Fw",
    "order": 6
  },
  {
    "g": "E?NG",
    "order": 6
  },
  {
    "g": "E?NW",
    "order": 6
  },
  {
    "g": "E?Nw",
    "order": 6
  },
  {
    "g": "E?]o",
    "order": 6
  },
  {
    "g": "E?]w",
    "order": 6
  },
  {
    "g": "E?^o",
    "order": 6
  },
  {
    "g": "E?^w",
    "order": 6
  },
  {
    "g": "E?~o",
    "order": 6,
    "comment": "This is the complete bipartite graph $K_{2,4}$."
  },
  {
    "g": "E?~w",
    "order": 6
  },
  {
    "g": "E@FG",
    "order": 6
  },
  {
    "g": "E@JW",
    "order": 6
  },
  {
    "g": "E@NW",
    "order": 6
  },
  {
    "g": "E@Nw",
    "order": 6
  },
  {
    "g": "E@QW",
    "order": 6
  },
  {
    "g": "E@Rw",
    "order": 6
  },
  {
    "g": "E@UW",
    "order": 6
  },
  {
    "g": "E@Vw",
    "order": 6
  },
  {
    "g": "E@YO",
    "order": 6,
    "comment": "This is the path $P_6$."
  },
  {
    "g": "E@YW",
    "order": 6
  },
  {
    "g": "E@]o",
    "order": 6
  },
  {
    "g": "E@]w",
    "order": 6
  },
  {
    "g": "E@^W",
    "order": 6
  },
  {
    "g": "E@^o",
    "order": 6
  },
  {
    "g": "E@^w",
    "order": 6
  },
  {
    "g": "E@`w",
    "order": 6
  },
  {
    "g": "E@ow",
    "order": 6
  },
  {
    "g": "E@vw",
    "order": 6
  },
  {
    "g": "E@~o",
    "order": 6
  },
  {
    "g": "E@~w",
    "order": 6
  },
  {
    "g": "EAMw",
    "order": 6
  },
  {
    "g": "EA]o",
    "order": 6
  },
  {
    "g": "EBYW",
    "order": 6
  },
  {
    "g": "EBYw",
    "order": 6
  },
  {
    "g": "EBZw",
    "order": 6
  },
  {
    "g": "EB]w",
    "order": 6
  },
  {
    "g": "EB^w",
    "order": 6
  },
  {
    "g": "EBhw",
    "order": 6
  },
  {
    "g": "EBjW",
    "order": 6
  },
  {
    "g": "EBjw",
    "order": 6
  },
  {
    "g": "EBnW",
    "order": 6
  },
  {
    "g": "EBn_",
    "order": 6
  },
  {
    "g": "EBnw",
    "order": 6
  },
  {
    "g": "EB~o",
    "order": 6
  },
  {
    "g": "EB~w",
    "order": 6
  },
  {
    "g": "ECXw",
    "order": 6
  },
  {
    "g": "EC\\w",
    "order": 6
  },
  {
    "g": "EENg",
    "order": 6
  },
  {
    "g": "EFz_",
    "order": 6,
    "comment": "This is the complete bipartite graph $K_{3,3}$."
  },
  {
    "g": "EFzw",
    "order": 6
  },
  {
    "g": "EF~w",
    "order": 6
  },
  {
    "g": "EGNW",
    "order": 6
  },
  {
    "g": "EGcw",
    "order": 6
  },
  {
    "g": "EGdo",
    "order": 6
  },
  {
    "g": "EGdw",
    "order": 6
  },
  {
    "g": "EHQW",
    "order": 6
  },
  {
    "g": "EHUW",
    "order": 6
  },
  {
    "g": "EHuw",
    "order": 6
  },
  {
    "g": "EI]w",
    "order": 6
  },
  {
    "g": "EI_w",
    "order": 6
  },
  {
    "g": "EIe_",
    "order": 6,
    "comment": "This is the cycle $C_6$."
  },
  {
    "g": "EImo",
    "order": 6
  },
  {
    "g": "EImw",
    "order": 6
  },
  {
    "g": "EIno",
    "order": 6
  },
  {
    "g": "EInw",
    "order": 6
  },
  {
    "g": "EJYW",
    "order": 6
  },
  {
    "g": "EJ]w",
    "order": 6
  },
  {
    "g": "EJ^w",
    "order": 6
  },
  {
    "g": "EJeg",
    "order": 6
  },
  {
    "g": "EJmw",
    "order": 6
  },
  {
    "g": "EJnW",
    "order": 6
  },
  {
    "g": "EJnw",
    "order": 6
  },
  {
    "g": "EJqw",
    "order": 6
  },
  {
    "g": "EJ~o",
    "order": 6
  },
  {
    "g": "EJ~w",
    "order": 6
  },
  {
    "g": "EKNG",
    "order": 6
  },
  {
    "g": "EK\\w",
    "order": 6
  },
  {
    "g": "EK]w",
    "order": 6
  },
  {
    "g": "EK^w",
    "order": 6
  },
  {
    "g": "EK`w",
    "order": 6
  },
  {
    "g": "EK~o",
    "order": 6
  },
  {
    "g": "EK~w",
    "order": 6
  },
  {
    "g": "ELpw",
    "order": 6
  },
  {
    "g": "ELrw",
    "order": 6,
    "comment": "This is the wheel $W_6$."
  },
  {
    "g": "ELv_",
    "order": 6
  },
  {
    "g": "EL~o",
    "order": 6
  },
  {
    "g": "EL~w",
    "order": 6
  },
  {
    "g": "ENzw",
    "order": 6
  },
  {
    "g": "EN~w",
    "order": 6
  },
  {
    "g": "EPTW",
    "order": 6
  },
  {
    "g": "ER^W",
    "order": 6
  },
  {
    "g": "E]~o",
    "order": 6
  },
  {
    "g": "E]~w",
    "order": 6
  },
  {
    "g": "E^~w",
    "order": 6
  },
  {
    "g": "E_Nw",
    "order": 6
  },
  {
    "g": "E_]o",
    "order": 6
  },
  {
    "g": "E_]w",
    "order": 6
  },
  {
    "g": "E`Lw",
    "order": 6
  },
  {
    "g": "E`NG",
    "order": 6
  },
  {
    "g": "E`NW",
    "order": 6
  },
  {
    "g": "E`Nw",
    "order": 6
  },
  {
    "g": "E`]o",
    "order": 6
  },
  {
    "g": "E`]w",
    "order": 6
  },
  {
    "g": "EaMw",
    "order": 6
  },
  {
    "g": "Ebnw",
    "order": 6
  },
  {
    "g": "Ejmw",
    "order": 6
  },
  {
    "g": "Ek]w",
    "order": 6
  },
  {
    "g": "EoLW",
    "order": 6
  },
  {
    "g": "Es\\w",
    "order": 6
  },
  {
    "g": "E~~w",
    "order": 6,
    "comment": "This is the complete graph $K_6$."
  }
]