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Séminaire Lotharingien de Combinatoire, B16c (1988).

[Formerly: Publ. I.R.M.A. Strasbourg, 1987/S-16, p. 133-145.]

# Norma Zagaglia Salvi

# On the Point-Distinguishing Chromatic Index of *K*_{n,n}

**Abstract.**
Let *chi*_{0}(*G*) be the point-distinguishing
chromatic index of a graph *G*.
We determine some properties of a point-distinguishing
*chi*_{0}(*G*)-coloring of
*K*_{n,n}. In particular, we determine the values of
*n* for which *K*_{n,n} has a point-distinguishing
*chi*_{0}(*G*)-coloring with a vertex whose incident
lines are colored with the same color, and in such cases we calculate
*chi*_{0}(*K*_{n,n}). In the other cases we
determine a characterization of a point-distinguishing
*chi*_{0}(*G*)-coloring of *K*_{n,n}.

The main part of the
results of this paper have appeared in the article "On the
point-distinguishing chromatic index of *K*_{n,n},"
*Ars Combinatoria* **25B** (1988), 93-104.