@article{, AUTHOR = {Magnant, Colton and Martin, Daniel M.}, TITLE = {Coloring rectangular blocks in 3-space}, JOURNAL = {Discuss. Math. Graph Theory}, FJOURNAL = {Discussiones Mathematicae Graph Theory}, VOLUME = {31}, YEAR = {2011}, NUMBER = {1}, PAGES = {161-170}, ISSN = {1234-3099}, ABSTRACT = {If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.}, }
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