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Analysis of engineering system by means of graph representation
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Building the corresponding graph representation F 67 SC F 13 14 15 12 O E D 215 SC FF 7 8 9 10 P 2 16 G F G 11 121 SC PP 1 2 3 4 5 6 P 1 B O 17 A 121 SC PP E A 14 A 7 9 13 1 2 3 4 5 215 SC FF P 1 10 8 P 2 12 C D O 15 F G B O 1,2 O 3,5 O V 16 - initial velocity
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Choosing the spanning forest 67 SC FF 1 2 3 4 5 13 14 15 12 7 8 9 10 P 2 16 6 P 1 B O A G O F G i E D 121 SC PP 215 SC FF 11 17
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Dividing into two groups of edges – E F and E
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Building two auxiliary subgraphs. G is obtained by removing the edges of E F 1 2 3 4 5 P 2 16 6 B O A F G i 11 GG
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1 13 14 15 12 7 8 9 10 16 P 1 G O i E D 17 Building two auxiliary subgraphs. G F is obtained by contracting the edges of E 2 3 4 5 6 B O A F G P 2 11 13 14 15 12 7 8 9 G O E D 17 GFGF
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Constructing the analysis equations in accordance with the two graphs and the spanning forest
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