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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.

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