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Edge list multicoloring trees: An extension of Hall's theorem

✍ Scribed by Mathew Cropper; András Gyárfás; Jenő Lehel


Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
99 KB
Volume
42
Category
Article
ISSN
0364-9024

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✦ Synopsis


Abstract

We prove a necessary and sufficient condition for the existence of edge list multicoloring of trees. The result extends the Halmos–Vaughan generalization of Hall's theorem on the existence of distinct representatives of sets. © 2003 Wiley Periodicals, Inc. J Graph Theory 42: 246–255, 2003