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A graph is called super-Eulerian if it has a spanning closed trail. Let G be a graph with n≥4 vertices. Catlin in (1987) [3] proved that if d(x)+d(y)≥n for each edge xy∈E(G), then G has a spanning trail except for several defined graphs. In this work we prove that if d(x)+d(y)≥n−1−p(n) for each edge xy∈E(G), then G is collapsible except for several special graphs, which strengthens the result of Catlin’s,...
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