A survey on Hedetniemi's conjecture

X Zhu - Taiwanese Journal of Mathematics, 1998 - projecteuclid.org
Taiwanese Journal of Mathematics, 1998projecteuclid.org
More than 30 years ago, Hedetniemi made a conjecture which says that the categorical
product of two n-chromatic graphs is still n-chromatic. The conjecture is still open, despite
many dierent approaches from dierent point of views. This article surveys methods and
partial results; and discuss problems related to or motivated by this conjecture.
More than 30 years ago, Hedetniemi made a conjecture which says that the categorical product of two n-chromatic graphs is still n-chromatic. The conjecture is still open, despite many dierent approaches from dierent point of views. This article surveys methods and partial results; and discuss problems related to or motivated by this conjecture.
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