What is the primary challenge in solving the maximum matching problem in a non$-$bipartite graph compared to a bipartite graph?

The complexity of finding augmenting paths is higher.

The presence of odd$-$length cycles makes the problem significantly harder.

Non$-$bipartite graphs always have cycles.

The algorithms for bipartite graphs are not applicable to non$-$bipartite graphs.

Non$-$bipartite graphs cannot have perfect matchings.

Clear answer