Ch 11.SE - 32E
Chapter , Problem 32E(choose chapter or problem)
A degree-constrained spanning tree of a simple graph \(G\) is a spanning tree with the property that the degree of a vertex in this tree cannot exceed some specified bound. Degree Constrained spanning trees are useful in models of transportation systems where the number of roads at an intersection is limited, models of communications networks where the number of links entering a node is limited, and so on. In Exercises 31–33 find a degree-constrained spanning tree of the given graph where each vertex has degree less than or equal to 3, or show that such a spanning tree does not exist.
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