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A solution of Chartrand's problem on spanning trees
Authors:Oai Maocheng
Affiliation:(1) Institute of Applied Mathematics, Academia Sinica, China
Abstract:
It is proved that if a connected graphG contains two distinct spanning trees, then any two spanning trees ofG can be connected by a chain of spanning trees, in which any two consecutive treesT1 andTi+1 are adjacent, i.e., the symmetric differenceE(Ti)DeltaE(Ti+1) consists of two adjacent edges.
Keywords:
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