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An xy trail M is greedy if every edge incident to y is contained in M....

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Basic Math

An xy trail M is greedy if every edge incident to y is containedin M. Let H be an Eulerian graph, and let x be a vertex in H. Provethat every greedy trail starting from x is a Eulerian circuit iffevery cycle in H contains x.

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A closed walk in a graph H containing all the edges of H is called an Euler line in H A graph containing an Euler line is called an Euler graph We know that a walk is always connected Since the Euler line which is a walk contains all the edges of the graph an Euler graph is connected except for any isolated vertices the graph may    See Answer
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