@InProceedings{gusev_et_al:LIPIcs.MFCS.2016.48, author = {Gusev, Vladimir V. and Pribavkina, Elena V.}, title = {{On Synchronizing Colorings and the Eigenvectors of Digraphs}}, booktitle = {41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)}, pages = {48:1--48:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-016-3}, ISSN = {1868-8969}, year = {2016}, volume = {58}, editor = {Faliszewski, Piotr and Muscholl, Anca and Niedermeier, Rolf}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2016.48}, URN = {urn:nbn:de:0030-drops-64611}, doi = {10.4230/LIPIcs.MFCS.2016.48}, annote = {Keywords: the road coloring problem, synchronizing automata, edge-colorings of digraphs, Perron-Frobenius eigenvector, primitive digraphs} }