In this paper we point out some possible links between different approaches
to quantum gravity and theories of the Planck scale physics. In particular,
connections between Loop Quantum Gravity, Causal Dynamical Triangulations,
Ho\v{r}ava-Lifshitz gravity, Asymptotic Safety scenario, Quantum Graphity,
deformations of relativistic symmetries and nonlinear phase space models are
discussed. The main focus is on quantum deformations of the Hypersurface
Deformations Algebra and Poincar\'{e} algebra, nonlinear structure of phase
space, the running dimension of spacetime and nontrivial phase diagram of
quantum gravity. We present an attempt to arrange the observed relations in the
form of a graph, highlighting different aspects of quantum gravity. The
analysis is performed in the spirit of a mind map, which represents the
architectural approach to the studied theory, being a natural way to describe
the properties of a complex system. We hope that the constructed graphs (maps)
will turn out to be helpful in uncovering the global picture of quantum gravity
as a particular complex system and serve as a useful guide for the researchers.Comment: 27 pages, 7 figures, v2 style and presentation significantly
improved, additional remarks and references added, v3 two figures modified,
several important clarifications and references adde
