@misc{CC,
       author = {{Bilen Can}, Mahir and {Cherniavsky}, Yonah},
        title = "{Stirling Posets}",
      journal = {{I}srael {J}ournal of {M}athematics (to appear)},
     keywords = {Mathematics - Combinatorics, Mathematics - Algebraic Geometry},
         year = "2018",
        month = "Jan",
          eprint={1801.08231},
}


@article {CT,
    AUTHOR = {Can, Mahir Bilen and Twelbeck, Tim},
     TITLE = {Lexicographic shellability of partial involutions},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {335},
      YEAR = {2014},
     PAGES = {66--80},
      ISSN = {0012-365X},
   MRCLASS = {06A07 (05Exx 52B22)},
  MRNUMBER = {3248800},
       DOI = {10.1016/j.disc.2014.07.006},
}

@article {CCT1,
    AUTHOR = {Can, Mahir Bilen and Cherniavsky, Yonah and Twelbeck, Tim},
     TITLE = {Bruhat order on partial fixed point free involutions},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {21},
      YEAR = {2014},
    NUMBER = {4},
     PAGES = {Paper 4.34, 23},
   MRCLASS = {06A07 (06A11 14L35 20G15)},
  MRNUMBER = {3292271},
MRREVIEWER = {Alessandro Conflitti},
}



@article {CCT2,
    AUTHOR = {Can, Mahir Bilen and Cherniavsky, Yonah and Twelbeck, Tim},
     TITLE = {Lexicographic shellability of the {B}ruhat-{C}hevalley order
              on fixed-point-free involutions},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {207},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {281--299},
      ISSN = {0021-2172},
   MRCLASS = {06A07 (20B30)},
  MRNUMBER = {3358047},
       DOI = {10.1007/s11856-015-1189-1},
}




@article {PudlakTuma,
    AUTHOR = {Pudl\'{a}k, Pavel and Tuma, Ji\v{r}\'{\i}},
     TITLE = {Every finite lattice can be embedded in a finite partition
              lattice},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {10},
      YEAR = {1980},
    NUMBER = {1},
     PAGES = {74--95},
      ISSN = {0002-5240},
   MRCLASS = {06B15 (05C99)},
  MRNUMBER = {552159},
MRREVIEWER = {James W. Lea, Jr.},
       DOI = {10.1007/BF02482893},
}



@article {Bjorner80,
    AUTHOR = {Bj\"{o}rner, Anders},
     TITLE = {Shellable and {C}ohen-{M}acaulay partially ordered sets},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {260},
      YEAR = {1980},
    NUMBER = {1},
     PAGES = {159--183},
      ISSN = {0002-9947},
   MRCLASS = {06A10 (13H10 52A25)},
  MRNUMBER = {570784},
MRREVIEWER = {P. McMullen},
       DOI = {10.2307/1999881},
}



@incollection {Wachs,
    AUTHOR = {Wachs, Michelle L.},
     TITLE = {Poset topology: tools and applications},
 BOOKTITLE = {Geometric combinatorics},
    SERIES = {IAS/Park City Math. Ser.},
    VOLUME = {13},
     PAGES = {497--615},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2007},
   MRCLASS = {06B30 (05E10 52C35 55R80)},
  MRNUMBER = {2383132},
}
	
	
	

@article {Renner86,
    AUTHOR = {Renner, Lex E.},
     TITLE = {Analogue of the {B}ruhat decomposition for algebraic monoids},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {101},
      YEAR = {1986},
    NUMBER = {2},
     PAGES = {303--338},
      ISSN = {0021-8693},
   MRCLASS = {20G99 (20M10)},
  MRNUMBER = {847163},
MRREVIEWER = {Mohan S. Putcha},
       DOI = {10.1016/0021-8693(86)90197-3},
}	
	
	
@article {CanRenner,
    AUTHOR = {Can, Mahir Bilen and Renner, Lex E.},
     TITLE = {Bruhat-{C}hevalley order on the rook monoid},
   JOURNAL = {Turkish J. Math.},
  FJOURNAL = {Turkish Journal of Mathematics},
    VOLUME = {36},
      YEAR = {2012},
    NUMBER = {4},
     PAGES = {499--519},
      ISSN = {1300-0098},
   MRCLASS = {20M32 (06F05)},
  MRNUMBER = {2993581},
MRREVIEWER = {Kostaq Hila},
}



@article {Can19,
    AUTHOR = {Can, Mahir Bilen},
     TITLE = {The rook monoid is lexicographically shellable},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {81},
      YEAR = {2019},
     PAGES = {265--275},
      ISSN = {0195-6698},
   MRCLASS = {20M32 (06A07)},
  MRNUMBER = {3973945},
       DOI = {10.1016/j.ejc.2019.05.009},
}



@article {Putcha06,
    AUTHOR = {Putcha, Mohan S.},
     TITLE = {Parabolic monoids. {I}. {S}tructure},
   JOURNAL = {Internat. J. Algebra Comput.},
  FJOURNAL = {International Journal of Algebra and Computation},
    VOLUME = {16},
      YEAR = {2006},
    NUMBER = {6},
     PAGES = {1109--1129},
      ISSN = {0218-1967},
   MRCLASS = {20M10},
  MRNUMBER = {2286425},
MRREVIEWER = {P. G. Trotter},
       DOI = {10.1142/S0218196706003414},
}



@article {CCR,
    AUTHOR = {Can, Mahir Bilen and Cherniavsky, Yonah and Rubey, Martin},
     TITLE = {A geometric interpretation of the intertwining number},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {26},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {Paper 2.7, 14},
   MRCLASS = {05A18 (05A15 14L30)},
  MRNUMBER = {3956445},
}

@article {WachsWhite,
    AUTHOR = {Wachs, Michelle and White, Dennis},
     TITLE = {{$p,q$}-{S}tirling numbers and set partition statistics},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {56},
      YEAR = {1991},
    NUMBER = {1},
     PAGES = {27--46},
      ISSN = {0097-3165},
   MRCLASS = {05A18 (05A15 11B65 11B73)},
  MRNUMBER = {1082841},
MRREVIEWER = {S. Milne},
       DOI = {10.1016/0097-3165(91)90020-H},
}