% This is an example bibliography file for FPSAC submissions. @article{BZ, AUTHOR = {Bergeron, Nantel and Zabrocki, Mike}, TITLE = {The {H}opf algebras of symmetric functions and quasi-symmetric functions in non-commutative variables are free and co-free}, JOURNAL = {J. Algebra Appl.}, FJOURNAL = {Journal of Algebra and its Applications}, VOLUME = {8}, YEAR = {2009}, NUMBER = {4}, PAGES = {581--600}, DOI = {10.1142/S0219498809003485}, URL = {https://doi.org/10.1142/S0219498809003485}, } @article{C, AUTHOR = {Chow, Timothy Y.}, TITLE = {The path-cycle symmetric function of a digraph}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {118}, YEAR = {1996}, NUMBER = {1}, PAGES = {71--98}, DOI = {10.1006/aima.1996.0018}, URL = {https://doi.org/10.1006/aima.1996.0018}, } @article{D, AUTHOR = {Doubilet, Peter}, TITLE = {On the foundations of combinatorial theory. {VII}. {S}ymmetric functions through the theory of distribution and occupancy}, JOURNAL = {Studies in Appl. Math.}, FJOURNAL = {Studies in Applied Mathematics}, VOLUME = {51}, YEAR = {1972}, PAGES = {377--396}, DOI = {10.1002/sapm1972514377}, URL = {https://doi.org/10.1002/sapm1972514377}, } @article{SG, AUTHOR = {Gebhard, David D. and Sagan, Bruce E.}, TITLE = {A chromatic symmetric function in noncommuting variables}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {13}, YEAR = {2001}, NUMBER = {3}, PAGES = {227--255}, DOI = {10.1023/A:1011258714032}, URL = {https://doi.org/10.1023/A:1011258714032}, } @misc{S, author = {Grinberg, D. and Stanley, R.}, title = {The Redei-Berge symmetric function of a directed graph}, EPRINT = {2307.05569}, EPRINTTYPE = {arxiv}, year = {2023}, } @article{GS, AUTHOR = {Gruji\'c, Vladimir and Stojadinovi\'c, Tanja}, TITLE = {The {R}edei--{B}erge {H}opf algebra of digraphs}, JOURNAL = {Period. Math. Hungar.}, FJOURNAL = {Periodica Mathematica Hungarica. Journal of the J\'anos Bolyai Mathematical Society}, VOLUME = {90}, YEAR = {2025}, NUMBER = {2}, PAGES = {288--298}, DOI = {10.1007/s10998-024-00619-9}, URL = {https://doi.org/10.1007/s10998-024-00619-9}, } @misc{MS, author = {Mitrovic, S. and Stojadinovic, T.} , title = {Some properties of the Redei-Berge function and related combinatorial Hopf algebras}, EPRINT = {2407.18608v3}, EPRINTTYPE = {arxiv}, year = {2024}, } @article{LR, author = {Redei, L.}, title = {Ein kombinatorischer Satz}, journal = {Acta Litteraria Szeged}, volume = {7}, year = {1934}, pages = {39 -- 43}, } @article{EC, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}ol. 2}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {62}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {1999}, PAGES = {xii+581}, DOI = {10.1017/CBO9780511609589}, URL = {https://doi.org/10.1017/CBO9780511609589}, } @book{B, AUTHOR = {Berge, Claude}, TITLE = {Graphs and hypergraphs}, SERIES = {North-Holland Mathematical Library}, VOLUME = {6}, EDITION = {revised}, NOTE = {Translated from the French by Edward Minieka}, PUBLISHER = {{North-Holland Publishing Co., Amsterdam-London;} {American Elsevier Publishing Co., Inc., New York}}, YEAR = {1976}, PAGES = {ix+528}, } @misc{W, author = {Wiseman, G.}, title = {Enumeration of paths and cycles and $e$-coefficients of incomparability graphs}, EPRINT = {0709.0430}, EPRINTTYPE = {arxiv}, year = {2007}, }