True or false: Suppose such a bipartite graph (i.e., with no perfect matching) has more than one maximum matching. Then, there must be more than one constricted set.
Provide Proof or Counter. Thanks.
IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE THERE TO HELP YOU
ANSWER:
EXPLANATION:
Bipartite graph:
A graph G whose vertices can be divided into two disjoint sets U and V such that every edge connects a vertixe in U to one in V.
Matchig:
A matching in a G is a set of non loop edges with no shared end points
>>The vertices incident to the edges of a matchig M are saturated by M, the others are unsaturated.
Perfect Matching:
A perfect matching is a matching that saturates every vertex.
Constricted :
If there are no perfect matchings there must be one constricted matching.
Breadth-first search (BFS): is an algorithm for traversing or searching tree or graph data structures. ... It uses the opposite strategy as depth-first search, which instead explores the highest-depth nodes first before being forced to backtrack and expand shallower nodes.
1)True because in a bipartite graph if there is no perfect matching with maximum one matching atleast must have one constrised set.
If a bipartite graph has no perfect matching, then it must contain a constricted set.
RATE THUMBSUP PLEASE
True or false: Suppose such a bipartite graph (i.e., with no perfect matching) has more than...
Please answer the question and write legibly (3) Prove that for a bipartite graph G on n vertices, we have a(G)- n/2 if and only if G has a perfect matching. (Recall that α(G) is the maximum size among the independent subsets of G.) (3) Prove that for a bipartite graph G on n vertices, we have a(G)- n/2 if and only if G has a perfect matching. (Recall that α(G) is the maximum size among the independent subsets of...
QUESTION 2 True or False? Let Km,n be a complete bipartite graph with at least 3 vertices. Then Km,n has a Hamilton cycle if m=n. True False
Question 4 10 pts Look at the weighted graph and choose the TRUE answers below (do not choose any FALSE answers) 1 B 4 4 2 5 D E 4 F 7 The graph has a minimal spanning tree of weight more than 15 The graph has a minimal spanning tree of weight less than 18 The graph has a Hamiltonian circuit ☺ ☺ ☺ ☺ The graph has an Euler circuit This graph is bipartite.
1. a. (True/False) A single process can have more than 2 threads. d. (True/False) Every thread has its own virtual address space. f. (True/False) A process may have 0 threads. g. (True/False) Threads belonging to separate processes cannot share memory. h. (True/False) Like function ‘fork’ in the process API, function ‘pthread_create’ creates a clone of the current thread. i. (True/False) Condition variables can be implemented using locks as the only available synchronization primitive. j. (True/False) Dekker’s mutual exclusion algorithm does...
A) True or False In bacteria it is possible for more than one protein to be translated from a single transcriptional unit? B) True or False Similar to prokaryotes a single rna polymerase holoenzyme is responsible for all transcription in an animal?
equilibrant has the same effect on a body than two or more forces True or false
options are TRUE, FALSE, GREATER THAN, LESS THAN, EQUAL TO In the figure, M2 has more mass than My and M1 has more mass than M3. The questions refer to the magnitudes of tensions and weights. M2 T3 MI M3 There is friction between the horizontal plane and M2 (uk # 0). M2 is observed to travel at a constant speed. Assume that the pulleys are frictionless and have negligible mass. Select the appropriate statements to complete the following sentences....
Question 16 Data sets can have more than one median a. True b. False Question 17 The median divides the data set, sequentially, by values below and values above the mode a. True b. False Question 18 This measure of central tendency provides the arithmetic average a. mode b. median c. mean d. distribution Question 19 Nominal data can be measured using the mean a. True b. False Question 20 The median represents the 50th percentile of a data set...
True or False A relation may have more than one secondary index.
A multimode waveguide always operates with more than one modes. Is this True or False?