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Can Null Graph be a valid Matching
sripo
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Graph Theory
Sep 28, 2018
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Definition of valid matching says that if every vertex is incident with atmost one vertex then it is a matching but I have seen coaching material note which includes null graph as a matching.I am confused please help.
graph-theory
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sripo
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Shaik Masthan
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Sep 28, 2018
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yes, Null graph ( but all vertices should be present in that graph) is a Matching for any graph.
in Null graph, degree of each vertex is 0
as per Matching condition, the degree of each vertex ≤ 1 ===> Null graph satisfies
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