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SLIDE 1

❆ ▲♦❝❛❧✲❙❡❛r❝❤ ❆❧❣♦r✐t❤♠ ❢♦r ❙t❡✐♥❡r ❋♦r❡st

▼✳ ●r♦ÿ✱ ❆✳ ●✉♣t❛✱ ❆✳ ❑✉♠❛r✱ ❏✳ ▼❛t✉s❝❤❦❡✱ ❉✳ ❙❝❤♠✐❞t✱ ❏✳ ❱❡rs❝❤❛❡ ▼✳ ❙❝❤♠✐❞t

❍✐❣❤❧✐❣❤ts ♦❢ ❆❧❣♦r✐t❤♠s ✷✵✶✼✱ ❇❡r❧✐♥

❏✉♥❡ ✶✵t❤ ✷✵✶✼

▲♦❝❛❧ ❙❡❛r❝❤ ❢♦r ❙t❡✐♥❡r ❋♦r❡st ✶✵✳✵✻✳✷✵✶✼ ✵ ✴ ✸

SLIDE 2

❚❤❡ ❙t❡✐♥❡r ❋♦r❡st Pr♦❜❧❡♠

■♥♣✉t

r❛♣❤

G = (V , E) ❚❡r♠✐♥❛❧ s ♣❛✐rs (s✶, ¯ s✶), . . . , (sk, ¯ sk) ∈ V × V ❊❞❣❡ ❝♦sts c : E → R+ ❖✉t♣✉t ▼✐♥✐♠✉♠ ❝♦st ❢♦r❡st F ⊆ E ❝♦♥t❛✐♥✐♥❣ si✲¯ si✲♣❛t❤ ❢♦r ❛❧❧ i = ✶, . . . , k

▲♦❝❛❧ ❙❡❛r❝❤ ❢♦r ❙t❡✐♥❡r ❋♦r❡st ✶✵✳✵✻✳✷✵✶✼ ✶ ✴ ✸

SLIDE 3

❚❤❡ ❙t❡✐♥❡r ❋♦r❡st Pr♦❜❧❡♠

■♥♣✉t

r❛♣❤

G = (V , E) ❚❡r♠✐♥❛❧ s ♣❛✐rs (s✶, ¯ s✶), . . . , (sk, ¯ sk) ∈ V × V ❊❞❣❡ ❝♦sts c : E → R+ ❖✉t♣✉t ▼✐♥✐♠✉♠ ❝♦st ❢♦r❡st F ⊆ E ❝♦♥t❛✐♥✐♥❣ si✲¯ si✲♣❛t❤ ❢♦r ❛❧❧ i = ✶, . . . , k

▲♦❝❛❧ ❙❡❛r❝❤ ❢♦r ❙t❡✐♥❡r ❋♦r❡st ✶✵✳✵✻✳✷✵✶✼ ✶ ✴ ✸

SLIDE 4

❚❤❡ ❙t❡✐♥❡r ❋♦r❡st Pr♦❜❧❡♠

■♥♣✉t

r❛♣❤

G = (V , E) ❚❡r♠✐♥❛❧ s ♣❛✐rs (s✶, ¯ s✶), . . . , (sk, ¯ sk) ∈ V × V ❊❞❣❡ ❝♦sts c : E → R+ ❖✉t♣✉t ▼✐♥✐♠✉♠ ❝♦st ❢♦r❡st F ⊆ E ❝♦♥t❛✐♥✐♥❣ si✲¯ si✲♣❛t❤ ❢♦r ❛❧❧ i = ✶, . . . , k

▲♦❝❛❧ ❙❡❛r❝❤ ❢♦r ❙t❡✐♥❡r ❋♦r❡st ✶✵✳✵✻✳✷✵✶✼ ✶ ✴ ✸

SLIDE 5

❚❤❡ ❙t❡✐♥❡r ❚r❡❡ Pr♦❜❧❡♠

■♥♣✉t

r❛♣❤

G = (V , E) ❚❡r♠✐♥❛❧s ♣❛✐rs s✶, . . . , sk ∈ V ❊❞❣❡ ❝♦sts c : E → R+ ❖✉t♣✉t ▼✐♥✐♠✉♠ ❝♦st tr❡❡ T ⊆ E ❝♦♥t❛✐♥✐♥❣ ❛❧❧ si

▲♦❝❛❧ ❙❡❛r❝❤ ❢♦r ❙t❡✐♥❡r ❋♦r❡st ✶✵✳✵✻✳✷✵✶✼ ✶ ✴ ✸

SLIDE 6

❚❤❡ ▼✐♥✐♠✉♠ ❙♣❛♥♥✐♥❣ ❚r❡❡ Pr♦❜❧❡♠

■♥♣✉t

r❛♣❤

G = (V , E) ❚❡r♠✐♥❛❧s ♣❛✐rs V ❊❞❣❡ ❝♦sts c : E → R+ ❖✉t♣✉t ▼✐♥✐♠✉♠ ❝♦st tr❡❡ T ⊆ E ❝♦♥t❛✐♥✐♥❣ ❛❧❧ v

▲♦❝❛❧ ❙❡❛r❝❤ ❢♦r ❙t❡✐♥❡r ❋♦r❡st ✶✵✳✵✻✳✷✵✶✼ ✶ ✴ ✸

SLIDE 7

▲♦❝❛❧ ❙❡❛r❝❤

❊①❛♠♣❧❡✿ ▲♦❝❛❧ s❡❛r❝❤ ❢♦r ▼❙❚ ✇✐t❤ ❡✉❝❧✐❞❡❛♥ ❞✐st❛♥❝❡s ▲♦❝❛❧ s❡❛r❝❤ ❛❧❣♦r✐t❤♠✳

✶ ❙t❛rt ❢r♦♠ ❛r❜✐tr❛r② ❢❡❛s✐❜❧❡ s♦❧✉t✐♦♥✳ ✷ ❘❡❛❝❤ ♥❡①t ❢❡❛s✐❜❧❡ s♦❧✉t✐♦♥ ❜② ❡①❡❝✉t✐♥❣ s✐♥❣❧❡ ❡❞❣❡ s✇❛♣s✳ ✸ ■t❡r❛t❡ ✉♥t✐❧ ♥♦ ✐♠♣r♦✈✐♥❣ s✇❛♣ ▲♦❝❛❧ ♦♣t✐♠✉♠ r❡❛❝❤❡❞✳