Graphic sequences of trees and a problem of Frobenius
Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 49-52.

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We give a necessary and sufficient condition for the existence of a tree of order $n$ with a given degree set. We relate this to a well-known linear Diophantine problem of Frobenius.
Classification : 05C07
Keywords: graphic; tree-graphic
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     title = {Graphic sequences of trees and a problem of {Frobenius}},
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Gupta, Gautam; Joshi, Puneet; Tripathi, Amitabha. Graphic sequences of trees and a problem of Frobenius. Czechoslovak Mathematical Journal, Tome 57 (2007) no. 1, pp. 49-52. http://geodesic.mathdoc.fr/item/CMJ_2007__57_1_a3/