Вопрос:

The user has provided an image containing mathematical data and diagrams related to graph theory. The task is to extract and present this data in a structured JSON format.

Ответ:

Data Extraction from Image


The image contains several mathematical representations of graphs, including adjacency matrices and edge lists, along with accompanying text in Russian. The following data points have been extracted:



1. 3Неограф V


Vertices (V): {1; 2; 3; 4; 5; 6}


Edges (E): {(1; 2); (1; 5); (2; 3); (3; 1); (3; 4); (4; 2); (4; 5); (4; 6); (5; 3)}



2. 9Орграф V


Vertices (V): {1; 2; 3; 4; 5; 6}


Edges (E): {(1; 4); (1; 5); (2; 1); (2; 3); (3; 4); (4; 2); (4; 6); (5; 3); (6; 3)}




























































































abcdefghi
1010100000
2001000000
3000100000
4000001100
5100000010
6001010000



3. 10Неограф V


Vertices (V): {1; 2; 3; 4; 5; 6}


Edges (E): {(1; 2); (1; 3); (2; 3); (3; 1); (3; 6); (4; 2); (4; 5); (4; 6); (5; 1)}




























































































abcdefghi
1101000000
2101000000
3110100000
4010010000
5100100000
6001000000



4. 6Орграф V (Matrix with -1, 0, 1)


Vertices (V): {1; 2; 3; 4; 5; 6}


Edges (E): {(1; 2); (1; 4); (2; 3); (3; 1); (3; 6); (4; 2); (4; 5); (5; 3); (6; 1)}




























































































abcdefghi
1-1-10000000
210-1000000
3100-100000
40100-10001
500100-10-10
6100100-100



The image also contains some Russian text describing graph theory concepts and tasks, which are not directly extractable as structured data but provide context for the presented matrices and edge lists.

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