# Hedetniemi's conjecture from the topological viewpoint

@article{Daneshpajouh2018HedetniemisCF, title={Hedetniemi's conjecture from the topological viewpoint}, author={Hamid Reza Daneshpajouh and Roman N. Karasev and Alexey Yu. Volovikov}, journal={arXiv: Combinatorics}, year={2018} }

This paper is devoted to studying some topological questions related to well known Hedetniemi's conjecture on the chromatic number of the categorical product of graphs. It is surprisingly shown that Hedetniemi's conjecture implies a statement in Topology by M. Wrochna and T. Matsushita (independently). Precisely, they showed if Hedetniemi's conjecture is true, then the $\mathbb{Z}_2$-index of the Cartesian product of two $\mathbb{Z}_2$-spaces is equal to the minimum of their $\mathbb{Z}_2… CONTINUE READING

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