@article{BN19, title={Combinatorial reciprocity for the chromatic polynomial and the chromatic symmetric function}, author={Bernardi, Olivier and Nadeau, Philippe}, journal={Discrete Math.}, volume={343}, number={10}, eprinttype={arxiv}, year={2020}, doi={10.1016/j.disc.2020.111989} } @article{Birk12, title={A determinant formula for the number of ways of coloring a map}, author={Birkhoff, G.}, journal={Ann. of Math.}, volume={14}, number={1/4}, pages={42--46}, year={1912}, publisher={JSTOR} } @article{BS86, title={Bijective proofs of two broken circuit theorems}, author={Blass, A. and Sagan, B. E.}, journal={J. Graph Theory}, doi={10.1002/jgt.3190100104}, volume={10}, number={1}, pages={15--21}, year={1986}, publisher={Wiley Online Library} } @article{EG06, title={Non-isomorphic caterpillars with identical subtree data}, author={Eisenstat, D. and Gordon, G.}, journal={Discrete math.}, doi={10.1016/j.disc.2006.01.022}, volume={306}, number={8-9}, pages={827--830}, year={2006}, publisher={Elsevier} } @article{GS00, title={Sinks in acyclic orientations of graphs}, author={Gebhard, D. and Sagan, B.}, journal={J. Combin. Theory Ser. B}, doi={10.1006/jctb.2000.1975}, volume={80}, number={1}, pages={130--146}, year={2000}, publisher={Elsevier} } @article{GS01, title={A chromatic symmetric function in noncommuting variables}, author={Gebhard, D. and Sagan, B.}, doi={10.1023/A:1011258714032}, journal={J. Algebraic Combin.}, volume={13}, number={3}, pages={227--255}, year={2001}, publisher={Springer} } @article{GZ83, title={On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs}, author={Greene, C. and Zaslavsky, T.}, journal={Trans. Amer. Math. Soc.}, volume={280}, doi={10.1090/S0002-9947-1983-0712251-1}, number={1}, pages={97--126}, year={1983} } @article{Lass01, title={Orientations acycliques et le polyn{\^o}me chromatique}, author={Lass, B.}, journal={European J. Combin.}, doi={10.1006/eujc.2001.0537}, volume={22}, number={8}, pages={1101--1123}, year={2001}, publisher={Elsevier} } @article{MMW08, title={On distinguishing trees by their chromatic symmetric functions}, author={Martin, J. and Morin, M. and Wagner, J.}, journal={J. Combin. Theory Ser. A}, doi={10.1016/j.jcta.2007.05.008}, volume={115}, number={2}, pages={237--253}, year={2008}, publisher={Elsevier} } @article{Stanley73, title={Acyclic orientations of graphs}, author={Stanley, R.}, doi={10.1016/0012-365X(73)90108-8}, journal={Discrete Math.}, volume={5}, number={2}, pages={171--178}, year={1973}, publisher={Elsevier} } @article{Stanley95, title={A symmetric function generalization of the chromatic polynomial of a graph}, author={Stanley, R.}, journal={Adv. Math.}, volume={111}, number={1}, pages={166--194}, doi={10.1006/aima.1995.1020}, year={1995}, publisher={Elsevier} } @book{Stanley99, title={Enumerative Combinatorics, Vol. 2}, author={Stanley, R.}, year={1999}, doi={10.1017/CBO9780511609589}, publisher={Cambridge Stud. Adv. Math} } @article{Stanley12, author={Stanley, R.}, title={A Chromatic Symmetric Function Conjecture}, journal={Talk slide in Special Session on My Favorite Graph Theory Conjectures, AMS Winter Meeting}, month={January}, year={2012}, note={\href{http://www-math.mit.edu/~rstan/transparencies/3plus1.pdf} {Link.}} } @article{Whitney32, title={A logical expansion in mathematics}, author={Whitney, H.}, doi={10.1090/S0002-9904-1932-05460-X}, journal={Bull. Amer. Math. Soc.}, volume={38}, number={8}, pages={572--579}, year={1932} }