I am attempting to get a “really feel” about Corridor’s theorem and attempt to broaden it for one to many matching.
So my query is:
Given a bipartite graph, what could be a neccessary and ample situation for that it might be doable to match each vertex on one facet, to 2 vertices on the opposite facet, that will belong solely to him.
Iv’e “cloned” the vertices on the “one facet”, and for every edge from v to u the place v is on the “one facet” and u is on the opposite facet, Iv’e related a further edge between v_clone and u.
I am attempting to determine what could be the situation(s)? after I return to my unique graph.
And the way can I show it?
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