Abstract: The subject of this research is the frequency planning algorithm for networks with an arbitrary topology of links over radio channels. The algorithm determines the total number of non-overlapping frequency ranges for the entire network and provides the distribution of each frequency range between communication nodes. The algorithm consists of two stages: at the first stage, there is a search and simultaneous distribution of frequency channels, the so-called main frequency range, as a result, only one frequency range is allocated to each node; at the second stage, additional frequency channels are searched for, which can be used by a separate subset of nodes, thus , some nodes can use more than one frequency range, but several at once. The novelty of this research lies in the developed frequency planning algorithm for wireless communication systems with an arbitrary topology of communications over radio channels. The result of the operation of the algorithm for a wireless communication system is the allocation of radio frequencies for communication nodes from the common frequency band allocated for the wireless communication system, in terms of reuse, eliminating the effect of interference. The result for communication nodes is the allocation of a baseband and an additional frequency band, taking into account the topology of the radio network, which can be used by a separate subset that makes wireless communication systems resistant to narrowband random interference.

Abstract: The subject of this research is the search algorithm for loopless routes from transmitter to the recipient of network traffic in the conditions of a known network topology. In designing data transmission network, one of the primary problems is the formation of network traffic routing, due to the fact that heavy traffic often cause the occurrence of bottlenecks in form of the overloaded communication node, which results in speed reduction of data transmission. This article provides the search algorithm for loopless routes from transmitter to the recipient of network traffic; the result is presented as a set of loopless  routes in accordance with the specified network topology. The article also provides the software code of the algorithm written in the C# language, as well as the results of test solutions of the specified topologies. The algorithm was developed via experimental and theoretical methods, on the bases of the available route search algorithms, such as Floyd's algorithm and Dijkstra's algorithm, as well as mechanisms of static and dynamic routing, such as RIP, OSPF, and EIGRP. The novelty of this work consists in elaboration of search algorithm for loopless routes from transmitter to the recipient in the conditions of the available network topology; and in comparison of the acquired results with other methods of formation phase variables. This algorithm allows generating a list of all loopless routes within the indicated network topology between the pair of interacting nodes.

Abstract: The subject of the study is to obtain spanning trees for propagating traffic over broadcast channels using the known network topology and known routes. To solve this problem, a mathematical model is constructed in which the network topology is regarded as an undirected graph, but the described solution is also suitable for an oriented graph, where a separate direction is represented by a separate edge. The proposed solution does not require flexible scalability of the network, therefore, when changing the initial input parameters, it is necessary to repeatedly execute the sequence of algorithms described in the article. The development of the algorithm was carried out by an experimental-theoretical method using the mathematical model of a graph constructed from the known topology of the network and the compilation of spanning trees on its basis. The result of the presented work is in determining the necessary number of spanning trees for the optimal solution of the network routing problem. The novelty of this research is the possibility of applying the developed solution in the link-layer networks according to the OSI reference model, exclusively for broadcasting traffic of a given network topology.

Abstract: The subject of the study is the formation of a radio network topology with placement of mobile radio stations, in which the total radiated signal power for radio stations will be minimized. The radiation power of signals for all radio stations and the coordinates for mobile radios are determined in the article, it is also assumed that the transmitting antennas of all radio stations have a circular pattern. To solve this problem, a mathematical model is constructed that has a number of assumptions that imply ideal conditions for the propagation of radio waves, as well as the location of radio stations in a Cartesian coordinate system. The development of the algorithm was carried out by an experimental-theoretical method, based on known facts of radio transmission and a mathematical solution of the Steiner problem for four and five vertices. The novelty of the study is the developed algorithm for determining the coordinates of mobile radio stations, as well as the radiation power of signals for stationary and mobile radios with a circular pattern of directionality. The result of the algorithm works is to determine the topology of the network and the range of operation of each radio station, which consumes the lowest radiation power of the transmitting antennas of radio stations.