Mathematics · Graph Theory
Consider the following statements: P: There exists no simple, undirected, and connected graph with 80 vertices and 77 edges. Q: All vertices of an Eulerian graph are of even degree. R: Every simple, undirected, connected, and acyclic graph with 50 vertices has at least two vertices of degree one. S: There exists a bipartite graph with more than ten vertices which is 2-colorable. How many of the above statements are correct?
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