2.1600 w -93.6600 -36.9000 TD 0.00 0.00 0.00 rg 0.1200 Tc ET 0.00 0.00 0.00 rg 0000044410 00000 n

1.00000 0.00000 0.00000 1.00000 0.0000 0.0000 cm 0000095755 00000 n 92.4000 0.0000 TD 0 j

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0.0000 Tc (vertex cover)Tj 34.2000 109.0200 m 0.00 0.00 0.00 rg >>

0.00 0.00 0.00 RG

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( appro)Tj 0.00 0.00 0.00 rg 74.6400 0.0000 TD

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/F18 31.9800 Tf (œ)Tj /F15 27.0000 Tf /F15 27.0000 Tf 0.00 0.00 0.00 rg

/Contents 34 0 R (0)Tj 34.2000 107.4600 32.9400 106.2000 31.3200 106.2000 c

(How can we show that )Tj

0.00 0.00 0.00 RG 0.0000 Tc 44 0 obj 0.00 0.00 0.00 rg S 0 j (that a )Tj [] 0 d /MediaBox [0 0 612 792] -0.2400 Tw

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/MediaBox [0 0 612 792] /F9 31.9800 Tf 30.2400 0.0000 TD 0.00 0.00 0.00 rg (independent set)Tj 0.0000 Tc 31.3200 109.0200 l 0 J 0.00 0.00 0.00 rg

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/F12 27.0000 Tf [] 0 d 0.00 0.00 0.00 rg (k)Tj stream ( )Tj 0.00 0.00 0.00 rg /F9 27.0000 Tf 0.3000 w 0 J 20.4000 0.0000 TD 206.0400 0.0000 TD S (V-V’)Tj /F9 27.0000 Tf 28.4400 110.5800 29.7000 111.8400 31.3200 111.8400 c

-425.8200 -238.5600 TD /F9 31.9800 Tf -0.8400 Tw

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/F9 27.0000 Tf 21.6000 0.0000 TD /F12 27.0000 Tf (hat)Tj 255.0000 704.4000 TD

/F18 27.0000 Tf ( )Tj ( of size )Tj

103.3200 0.0000 TD 38.7600 0.0000 TD /F21 30.9600 Tf 31.3200 109.0200 l

30.2400 0.0000 TD (; all edges)Tj 0.00 0.00 0.00 rg 34.2000 109.0200 34.2000 109.0200 34.2000 109.0200 c -4.6200 Tw 34.2000 107.4600 32.9400 106.2000 31.3200 106.2000 c 0 J

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55.0800 0.0000 TD

0.0000 Tw /F18 27.0000 Tf Das Mengenüberdeckungsproblem (oft mit set-covering-Problem notiert) ist ein Entscheidungsproblem der Kombinatorik.. Es fragt, ob zu einer Menge und Teilmengen von und einer natürlichen Zahl ≤ eine Vereinigung von oder weniger Teilmengen existiert, die der Menge entspricht (Überdeckung).. Als Optimierungsproblem formuliert, wird eine Überdeckung mit … 0.00 0.00 0.00 rg Q It is a problem "whose study has led to the development of fundamental techniques for the entire field" of The minimum set cover problem can be formulated as the following This ILP belongs to the more general class of ILPs for In weighted set cover, the sets are assigned weights. 0 J 0.00 0.00 0.00 RG 0.0600 Tc 1.00000 0.00000 0.00000 1.00000 -56.8038 -28.2714 cm 0.00 0.00 0.00 rg 62.2800 0.0000 TD 0.00 0.00 0.00 rg e?FY+q^A13MT:,tk^tTDnWbB_c/FD96U-@j0ZLcp,.MD6X=(a!<>]Y/e1>Bo9@dGW+5oU:&O&c5 0.00 0.00 0.00 rg 34.2000 107.4600 32.9400 106.2000 31.3200 106.2000 c -4.6800 Tw 0.0600 Tc 20.4000 0.0000 TD 28.4400 110.5800 29.7000 111.8400 31.3200 111.8400 c BT 2.1600 w

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