A solution of Chartrand's problem on spanning trees |
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Authors: | Oai Maocheng |
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Affiliation: | (1) Institute of Applied Mathematics, Academia Sinica, China |
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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) E(Ti+1) consists of two adjacent edges. |
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