Biphenylene Biphenylene network 1 Calculations 1 Carbon 1 Dirac point 1 Electronic properties 1 First principle calculations 1 Grain boundaries 1 Grain-boundaries 1 Lifshitz transition 1 Magnetism 1 Saddle point 1 Textures 1 Topological transitions 1 Topology 1 Two-dimensional 1 Type II 1 biphenylene network 1 first-principles calculations 1 grain boundaries 1 magnetic ordering 1 topological transition 1