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The book edition of the Universe Special Issue “Compact Stars in the QCD Phase Diagram” is devoted to the overarching aspects shared between heavy-ion collisions and compact star astrophysics in investigating the hadron-to-quark matter phase transition in the equation of state of strongly interacting matter in different regions of the phase diagram of QCD. It comprises 22 review and research articles that, together, will serve as a useful guide in educating both young and senior scientists in this emerging field that represents an intersection of the communities of strongly interacting matter theory, heavy-ion collision physics and compact star astrophysics.

Gamma-ray bursts --- collective flow --- vector interaction --- quarks --- meson production --- ? meson condensation --- neutrino --- magnetic DCDW --- pulsars --- light cluster emission --- monte carlo simulations --- neutron stars --- chiral symmetry --- GW170817 --- stellar structure --- supernova explosions --- maximum mass --- mass-radius relation --- nuclear equation of state --- in-medium effects --- Beth-Uhlenbeck equation of state --- speed of sound --- gravitational waves --- relativistic heavy-ion collisions --- crystalline structure --- neutron star --- finite density --- transport theory --- stellar evolution --- neutron star matter --- hadronic matter --- general relativity --- critical point --- ? resonances --- QCD matter --- modified excluded-volume mechanism --- cold-dense QCD --- quark stars --- quark-hole pairing --- finite size --- mass-twin stars --- pasta phases --- hybrid stars --- cluster virial expansion --- finite temperature --- quark-hadron phase transition --- hadron–quark continuity --- stellar magnetic field --- strangeness --- quark-gluon plasma --- pulsars: PSR J0737 ? 3039A --- pulsars: general --- combustion --- Mott dissociation --- hybrid compact stars --- quark deconfinement --- quark matter --- Gravitational waves --- pulsars: PSR J1757 ? 1854 --- neutrino emissivities --- directed flow --- star oscillations --- quark-hadron matter --- QCD phase diagram --- phase transition --- equation of state --- nuclear matter --- nuclear symmetry energy --- hydrodynamics --- deconfinement --- stars: neutron --- axion QED --- Quantum Chromodynamics --- dense matter --- heavy-ion collisions