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Consider the following statements about graph
(1) The number of perfect matchings possible for K2n is
(2) The chromatic number of the cyclic graph is 2, when the graph consists of an odd number of vertices.
(3) Consider a graph G, X is an independent set in G iff (V(G) – X) is a vertex cover of G.
(4) A bipartite graph with 2n vertices will have a maximum number of edges when both the partitions have equal number of vertices.
The number of incorrect statements is _________________?
Correct answer is '1'. Can you explain this answer?
Verified Answer
Consider the following statements about graph(1) The number of perfec...
Statement 1 is true.
Statement 2 is false, because when the cyclic graph consists of an odd number of vertices we require at least 3 colors to cover them. You try to colour a cyclic graph with odd vertices and you will find it.
Statement 3 is true. Statement 4 is also true.
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Consider the following statements about graph(1) The number of perfect matchings possible for K2n is (2) The chromatic number of the cyclic graph is 2, when the graph consists of an odd number of vertices.(3) Consider a graph G, X is an independent set in G iff (V(G) – X) is a vertex cover of G.(4) A bipartite graph with 2n vertices will have a maximum number of edges when both the partitions have equal number of vertices.The number of incorrect statements is _________________?Correct answer is '1'. Can you explain this answer?
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Consider the following statements about graph(1) The number of perfect matchings possible for K2n is (2) The chromatic number of the cyclic graph is 2, when the graph consists of an odd number of vertices.(3) Consider a graph G, X is an independent set in G iff (V(G) – X) is a vertex cover of G.(4) A bipartite graph with 2n vertices will have a maximum number of edges when both the partitions have equal number of vertices.The number of incorrect statements is _________________?Correct answer is '1'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the following statements about graph(1) The number of perfect matchings possible for K2n is (2) The chromatic number of the cyclic graph is 2, when the graph consists of an odd number of vertices.(3) Consider a graph G, X is an independent set in G iff (V(G) – X) is a vertex cover of G.(4) A bipartite graph with 2n vertices will have a maximum number of edges when both the partitions have equal number of vertices.The number of incorrect statements is _________________?Correct answer is '1'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following statements about graph(1) The number of perfect matchings possible for K2n is (2) The chromatic number of the cyclic graph is 2, when the graph consists of an odd number of vertices.(3) Consider a graph G, X is an independent set in G iff (V(G) – X) is a vertex cover of G.(4) A bipartite graph with 2n vertices will have a maximum number of edges when both the partitions have equal number of vertices.The number of incorrect statements is _________________?Correct answer is '1'. Can you explain this answer?.
Solutions for Consider the following statements about graph(1) The number of perfect matchings possible for K2n is (2) The chromatic number of the cyclic graph is 2, when the graph consists of an odd number of vertices.(3) Consider a graph G, X is an independent set in G iff (V(G) – X) is a vertex cover of G.(4) A bipartite graph with 2n vertices will have a maximum number of edges when both the partitions have equal number of vertices.The number of incorrect statements is _________________?Correct answer is '1'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE. Download more important topics, notes, lectures and mock test series for GATE Exam by signing up for free.
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