As we know matching can be solve in polynomial time. One classical and famous algorithm is designed by Karp and Hopcroft.
Is it possible to solve perfect matching problem in linear time for given $G=(V,E)$? Here, we say linear time as $O(|V|+|E|)$. I think it is impossible to solve it in linear time. Are there plausible evidence such as complexity lower bounds for some limited computation models or conditional results indicating the linear time intractablity of matching problems?