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We model quantum Hall skyrmions in graphene monolayer at quarter filling by atheory of CP3 fields and study the energy minimizing skyrmions in presence ofvalley pseudospin anisotropy and Zeeman coupling. We present a diagram of alltypes of skyrmions in a wide range of the anisotropy parameters. For each typeof skyrmion, we visualize it on three Bloch spheres, and present the profilesof its texture on the graphene honeycomb lattice, thus providing references forthe STM/STS imaging of spin-pseudospin textures in graphene monolayer inquantum Hall regime. Besides the spin and pseudospin skyrmions for thecorresponding degrees of freedom of an electron in the N=0 Landau level, wediscuss two unusual types -- the "entanglement skyrmion" whose texture lies inthe space of the entanglement of spin and pseudospin, as well as the "deflatedpseudospin skyrmion" with partial entanglement. For all skyrmion types, westudy the dependence of the energy and the size of a skyrmion on the anisotropyparameters and perpendicular magnetic field. We also propose three ways tomodify the anisotropy energy, namely the sample tilting, the substrateanisotropy and the valley pseudospin analogue of Zeeman coupling.

Spin-valley skyrmions in graphene at filling factor $\nu=-1$