@article{520a87ab21f74772be454cb9c688ffe7,
title = "Chromatic Numbers of Distance Graphs without Short Odd Cycles in Rational Spaces",
abstract = "Abstract: We prove the existence in rational spaces of distance graphs without short odd cycles whose chromatic number increases exponentially with the dimension of the space.",
keywords = "chromatic number, distance graph, graph girth, linear-algebraic method",
author = "Demidovich, {Yu A.} and Zhukovskii, {M. E.}",
note = "Funding Information: The proof of Theorem was supported by the Russian Foundation for Basic Research (science grant no. 18-01-00355) and by the program “Leading Scientific Schools” (grant no. NSh-2540.2020.1). The proof of Corollary was supported by the Grant of the Government of the Russian Federation for the state support of scientific research supervised by leading scientists (agreement no. 075-15-2019-1926). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd.",
year = "2021",
month = may,
doi = "10.1134/S0001434621050060",
language = "English (US)",
volume = "109",
pages = "727--734",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Springer Science + Business Media",
number = "5-6",
}