HW6 - Assignment #6, CS4/531 Due Date: Friday. Dec. 9, 2011...

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Unformatted text preview: Assignment #6, CS4/531 Due Date: Friday. Dec. 9, 2011 Total points: 52 • You MUST turn in your HW by 2:10pm on Dec 9. After that, I will NOT accept your HW. This rule will be STRICTLY ENFORCED. • Please PRINT YOUR LAST NAME, FIRST NAME and UB number on the first page. • Write solution of each problem on a separate sheet. Staple them in the order of problem numbers. • If your homework solution deviates significantly from these guidelines, TA may deduct up to 20% of the points. 1. (4 points) Describe if the following statement is true or false. If it is true, give a short explanation. If it’s false, give a counter example. Let G be a (basic) flow-network with source s and sink t . Each directed edge e of G has a positive integer capacity c ( e ). If f is a max-flow of G , then f saturates every edge out of s . (Namely, for every edge e = s → v , f ( e ) = c ( e ).) 2. (4 points) Describe if the following statement is true or false. If it is true, give a short explanation. If it’s false, give a counter example. Let G be a (basic) flow-network with source s and sink t . Each directed edge e of G has a positive integer capacity c ( e ). Let ( S,T ) be a minimum capacity st-cut with respect to the capacity function c ( * ). Now suppose that we add 1 to the capacity of every edge e . Namely, we define a new capacity function c ′ ( e ) = c ( e ) + 1 for every edge e in G . Then ( S,T...
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This note was uploaded on 02/27/2012 for the course CSE 431/531 taught by Professor Xinhe during the Fall '11 term at SUNY Buffalo.

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HW6 - Assignment #6, CS4/531 Due Date: Friday. Dec. 9, 2011...

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