We propose the Regge trajectory relations for the fully heavy pentaquark \({P}_{cc\overline{c}bb }\) utilizing both diquark and triquark Regge trajectory relations. Using these new relations, we discuss four series of Regge trajectories: the ρ1-, ρ2-, λ1-, and λ2-trajectories. We provide rough estimates for the masses of the ρ1-, ρ2-, λ1-, and λ2-excited states. Except for the λ1-trajectories, the complete forms of the other three series of Regge trajectories for the pentaquark \({P}_{cc\overline{c}bb }\) are lengthy and cumbersome. We show that the ρ1-, ρ2-, and λ2-trajectories can not be obtained by simply imitating the meson Regge trajectories because mesons have no substructures. To derive these trajectories, pentaquark’s structure and substructure should be taken into consideration. Otherwise, the ρ1-, ρ2-, and λ2-trajectories must rely solely on fitting existing theoretical or future experimental data. Consequently, the fundamental relationship between the slopes of the obtained trajectories and constituents’ masses and string tension will become unobvious, and the predictive power of the Regge trajectories would be compromised. Moreover, we show that the lengthy complete forms of the ρ1-, ρ2-, and λ2-trajectories can be well approximated by the simple fitted formulas. Four series of Regge trajectories for the pentaquark \({P}_{cc\overline{c}bb }\) all exhibit a behavior of M ~ x2/3, where x = nr1, nr2, l1, l2, Nr1, Nr2, L1, L2. All four series of trajectories exhibit concave downward behavior in the (M2, x) plane.
