The importance difference between Particular Mobile Communication Network and Common Cellular Mobile Communication Network lies in the following aspects: the communication mode mainly adopts non-cellular wireless Ad Hoc and the communication object is mainly communication between objects（namely Sensor Communication） and communication topology is mainly three-dimensional（3 D） stereo topology

rather than traditional two-dimensional（2 D） planer topology. The topology control is one of the energy-efficient wireless AdHoc and wireless sensor networking key techniques. The topology control technique has been heavily studied in wireless networks

but most of these studies assume that wireless nodes are distributed in a 2 dimensional（2 D） plane

such as Common Communication Networks. In practice

however

wireless nodes of Particular Communication Networks are often deployed in a 3-dimensional（3 D） space

such as multi-floor building

space

underwater

or underground. Many studies showed that current 2 D topology control algorithms are not able or require complex computations to apply in 3 D networks. Based on the analysis of the motives of the topology control

the concept

classification technique

and the protocol stack

presented the most studied four kind will be extended from 2 D to 3 D topology case

and discussed certain of the topology control protocols for 3 D network

and also proved several properties in this paper.