Graham is an artificial intelligence system integrated into a custom automobile primarily utilized by Vidaux Völker and his adopted daughter Mayuka. This AI powers navigation and vehicle operations, facilitating essential transportation through hazardous, war-scarred environments. Graham consistently provides critical mobility and protection for the central group, including Derrida Yvain, during perilous journeys across devastated territories.

The vehicle serves as the group's primary means of evading threats like rogue autonomous machines and human adversaries, including the assassin Donna. Graham enables rapid escapes during confrontations, adeptly navigating treacherous mountainous terrain or crumbling urban ruins to avoid capture or destruction. Its operational capabilities include instantly accessing alternate routes when primary paths are compromised, demonstrating vital adaptability in crisis situations.

Graham shares a close dynamic with Mayuka, often functioning as a secure haven for her during danger. While the AI exhibits no emotional characteristics, its presence actively contributes to group cohesion and safety. The narrative positions Graham as a reliable technological asset within the survival framework, emphasizing practical utility throughout its role, which remains focused on vehicular support and group preservation.