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Distance-preserving orderings in graphs

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Academic year: 2021

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Figure 1: The three variable gadgets for the formula Φ = (x 1 ∨x 2 ∨x 3 )∧( ¯ x 1 ∨ x ¯ 2 ∨ x ¯ 3 )∧( ¯ x 1 ∨ x ¯ 2 ∨x 3 )
Figure 2: The clause tree for the formula Φ = (x 1 ∨ x 2 ∨ x 3 ) ∧ ( ¯ x 1 ∨ x ¯ 2 ∨ x ¯ 3 ) ∧ ( ¯ x 1 ∨ x ¯ 2 ∨ x 3 ) .
Figure 3: The literal clique, for the formula Φ = (x 1 ∨ x 2 ∨ x 3 ) ∧ ( ¯ x 1 ∨ x ¯ 2 ∨ x ¯ 3 ) ∧ ( ¯ x 1 ∨ x ¯ 2 ∨ x 3 ) .

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