On graceful colorings of trees

A proper coloring $c V(G)\to\{1, 2,\ldots, k\}$, $k\ge2$ of a graph $G$ is called a graceful $k$-coloring if the induced edge coloring $c' E(G) \to\{1, 2, \ldots, k-1\}$ defined by $c'(uv)=|c(u)-c(v)|$ for each edge $uv$ of $G$ is also proper. The minimum integer $k$ for which $G$ has a...

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Bibliographic Details
Main Authors: Sean English, Ping Zhang
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2017-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/142/1/mb142_1_6.pdf