To show that if P 1 , P 2 , ..... , P k are vertex-disjoint augmenting path with respect to M then the symmetric difference M ⊕ ( P 1 ∪ P 2 ∪ ....... ∪ P k ) is a matching with the cardinality | M | + k .

Question

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Answer 1

Question

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

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can you please give me: * the code (step 3) *the list file (step 5) *and answer step 6 Thank you

# Find the error# Why will the following code not print out a list of contact namesphoneBook = {'Doe, Jane' : '843-000-0000' ,'Doe, John' : '843-111-1111' ,'Smith, Adam' : '843-222-2222' ,'Jobs, Steve' : '999-333-3333' ,}for contact in phoneBook.values():print(contact)

# Find the error:# The following code creates an empty dictionary and attempts to add a record# Why will the following code not create a new dictionary entry as intended?phoneBook = {}phoneBook{'Jobs, Steve'} = '999-111-1111'

Answer 2

Question

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

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See solution

Answer 3

Question

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Expert Solution & Answer

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See solution

Answer 5

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Answer 6

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

Answer 7

Chapter 26, Problem 6P

(a)

Program Plan Intro

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

Answer 8

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

Answer 9

(b)

Program Plan Intro

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

Answer 10

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

Answer 11

(c)

Program Plan Intro

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

Answer 12

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

Answer 13

(d)

Program Plan Intro

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

Answer 14

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

Answer 15

(e)

Program Plan Intro

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

Answer 16

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

Answer 17

(f)

Program Plan Intro

To explain the number of repeat loop iterations is at most 2|V| .

Answer 18

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Answer 19

(g)

Program Plan Intro

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Answer 20

Expert Solution & Answer

Answer 21

Expert Solution & Answer

Answer 22

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Answer 23

Ch. 26.1 - Prob. 1E Ch. 26.1 - Prob. 2E Ch. 26.1 - Prob. 3E Ch. 26.1 - Prob. 4E Ch. 26.1 - Prob. 5E Ch. 26.1 - Prob. 6E Ch. 26.1 - Prob. 7E Ch. 26.2 - Prob. 1E Ch. 26.2 - Prob. 2E Ch. 26.2 - Prob. 3E

To show that if P 1 , P 2 , ..... , P k are vertex-disjoint augmenting path with respect to M then the symmetric difference M ⊕ ( P 1 ∪ P 2 ∪ ....... ∪ P k ) is a matching with the cardinality | M | + k .

Solution Summary: The author explains that if P1,P2,mathrm.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference is defined

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

To explain the number of repeat loop iterations is at most 2|V| .

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Want to see the full answer?

Chapter 26 Solutions

To show that if P 1 , P 2 , ..... , P k are vertex-disjoint augmenting path with respect to M then the symmetric difference M ⊕ ( P 1 ∪ P 2 ∪ ....... ∪ P k ) is a matching with the cardinality | M | + k .

Solution Summary: The author explains that if P1,P2,mathrm.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference is defined

To show that if P1,P2,.....,Pk are vertex-disjoint augmenting path with respect to M then the symmetric difference M⊕(P1∪P2∪.......∪Pk) is a matching with the cardinality |M|+k .

To describe that if |M|≤|M*| then M⊕M* contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .

To explain the P has more than l edges if P is vertex-disjoint from P1,P2,......Pk .

To explains that A=(P1∪P2∪.......∪Pk)⊕P where |A|≥(k+1)l so P has more than l edges.

To prove the size of maximum matching is at most |M|+|V|/(l+1) .

To explain the number of repeat loop iterations is at most 2|V| .

To gives an algorithm of O(E) time to find a maximal set of vertex-disjoint shortest augmenting paths P1,P2,....,Pk for matching.

Want to see the full answer?

Chapter 26 Solutions

To describe that if |M|≤|M| then M⊕M contains at least |M*|−|M| vertex-disjoint augmenting paths with respect to M .