SU1451714A1 - Device for analyzing graph parameters - Google Patents

Abstract

The invention relates to computing, can be used to analyze the connectivity of the vertices of a graph, and allows determining the number of edges and the weight of a connected graph. The device contains a matrix in IHB triggers 1, where B is the number of vertices in the graph, the first and second matrices from IxB elements I 2 and 3, the matrix from IxB digital-impulse converters 4, matrix IxB of registers 5, group of IxB delay elements 6, from first to the third group of B elements OR 7, 8, 9, the first and second elements OR 10, 11, the first and second counters 12, 13, element AND 14. Before starting to install triggers 1 in the unit, set the topology of the graph in accordance with its complexity matrix . Registers 5 carry the weight of the corresponding edges of the graph. In that case, if all the vertices of the graph are connected, at the output of the element And 14 a pulse of a single level appears, which, passing successively through the delay elements 6, allows counting the number of vertices in the graph (on the counter 12) and its weight (on the counter 13). The delay number in each element 6 is chosen from the condition that before starting the next converter 4, the previous one can finish the weight distribution of the corresponding edge of the graph. 1 il. With S (L

Description

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The invention relates to computing and can be used to quantify the connectivity of graphs.

The aim of the invention is to expand the functionality of the device by determining the total weight of all branches of the graph

The drawing shows the functional diagram of the device.

The device contains a matrix of IxB triggers 1, where B is the number of vertices in the graph, the first and second matrices of IxB elements I 2 and 3, and the matrix of IxB digital pulse converters. AS matrix of IEEB register 5, group BKV delay elements 6, the first through the third group of the elements OR 7, 8, 9, the first and second elements OR 10, 11 ,, and the first and second counters 12, 13, the element And 14.

In addition, the device has the output 15 of the attribute of all the vertices of the graph, the start 16 input, the initial installation input 17, the 18 signs of the presence of a branch from the Mth to the Kth vertex of the graph (, ..., B; M 1,. , 5 V), inputs 19 assign the weight of a branch from to the K-th vertex of the graph, output 20 of the sign of the device’s completion, outputs 21 of the number of branches, outgoing w 1x from the M-th vertex of the graph, exits 22 of the total weight of the branches outgoing from a vertex, a graph, output 23 of the total number of branches in the graph, output 24 of the total weight of the branches of the graph. I

The device works as follows.

Before starting work, the inputs of the device 1 provide codes of numbers that are equal to the weight of the branches connecting the Mth and Kth vertices of the graph. A single-level impulse signal is fed to the start-up input 16 of the device. In this case, all triggers 1 and counters 12 and 13 are set to zero. the weights of the corresponding arcs are entered into registers 5 The inputs of 18 signs of the presence of a branch from the Mth to the Kth vertex of the graph are set up by the impulse signals of a single level, and npti this triggers 1 the information about the topology of the graph is entered in accordance with its adjacency matrix. If the graph is connected, at the output of element And 14 a high level potential appears, which.

a passage through the delay elements 6 of the group allows counting the number of vertices in the graph (on the counter 12) and, sequentially launching the digital pulse converters 4 corresponding to which the triggers 1 are set to one, determine the total weight of all branches of the graph (on the counter 13). The delay in each element 6 is chosen from the condition that before starting the next converter 4, the previous one has finished finishing the pulses, the number of which is equal to the weight of the branch specified in the corresponding register 5. At the output of the last element 6 of the group, the potential of the unit level signals about the end of the device.

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Claims (1)

Invention Formula A device for analyzing the parameters of a graph containing a matrix of IxB triggers, where B is the number of vertices in the graph, two matrices of IxB elements AND, a group of IxB delay elements, two groups of B elements OR, element I, the first OR element and the first counter, the input of the initial installation of the device is connected to the inputs of the installation in O of all the triggers of the matrix 1, and to the input of the installation in О of the first counter, the input of the sign of the presence of a branch from the Mth century. To the K vertex of the graph (, ..., B;,. .., B) is connected to the input of the installation in the 1 K th trigger of the M th row of the matrix, the output of which is It is connected to the first inputs of the Kth elements of the Mth row of the first and second matrices, the output of the Kth element AND the Mth row of the first matrix group is connected to the Mth input of the Kth element OR of the first group whose output is connected to the second inputs of all elements of the Kth row of the first matrix and the Kth input of the AND element, the output of which is the output of the connectivity attribute of all the vertices of the device graph and connected to the input of the first delay element of the group, is output. The KHM th delay element of the group is connected to the input (KxM + 1) of the group delay element and to the second input of the K-th element coagulant and M-th row of the second matrix, which output is connected to the K-th entry of M-element 314 OR of the second group, the output of which is the output of the number of branches emanating from the Kth vertex of the graph, and is connected to the Mth input of the first element OR, the output of which is connected to the summing input of the first counter, the output of which is the output of the number of branches in the device graph, characterized in that, in order to expand the functionality of the device by determining the total weight of all the branches of the graph, a matrix of IxB digital-pulse converters, a matrix of IxB registers, a third group of B elements And LI, the second element OR, and the second counter, the input of the initial installation of the device is connected to the input of the installation in О of the second counter and to the inputs of the sign of recording all the registers of the matrix, the input of the weight of the branch from M to K to the ver bus device graph is connected to the information input of the K-th register of the M-th row of the matrix, the output of which is connected to the information input of the K-th register of the M-th row of the matrix, the output of which is connected to the Information input of the K-th digital-pulse converter M-th row of the matrix, output of the K-th element and the M-th row of the second matrix, is connected to the start input of the K-th digital-impulse matrix converter, the output of which is connected to the K-th input of the M-th element OR of the third group, the output of which is the output of the total weight of the branches coming from m -th vertex of the device graph, and is connected to the M-th input of the second element OR, the output of which is connected to the summing input of the second counter, the output of which is the output of the total weight of the device graph. f4 fj