@InProceedings{bjorklund_et_al:LIPIcs.ICALP.2017.91, author = {Bj\"{o}rklund, Andreas and Kaski, Petteri and Koutis, Ioannis}, title = {{Directed Hamiltonicity and Out-Branchings via Generalized Laplacians}}, booktitle = {44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)}, pages = {91:1--91:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-041-5}, ISSN = {1868-8969}, year = {2017}, volume = {80}, editor = {Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl, Anca}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2017.91}, URN = {urn:nbn:de:0030-drops-74208}, doi = {10.4230/LIPIcs.ICALP.2017.91}, annote = {Keywords: counting, directed Hamiltonicity, graph Laplacian, independent set, k-internal out-branching} }