  
  
  [1XReferences[101X
  
  [[20XABMS15[120X]  [16XAraújo, J., Bentz, W., Mitchell, J. D. and Schneider, C.[116X, [17XThe rank
  of the semigroup of transformations stabilising a partition of a finite set[117X,
  [18XMath. Proc. Camb. Phil. Soc.[118X, [19X159[119X (2015), 339 - 353.
  
  [[20XAMMM23[120X]  [16XAnagnostopoulou-Merkouri,  M.,  Mesyan,  Z.  and  Mitchell, J. D.[116X,
  [17XProperties of congruence lattices of graph inverse semigroups[117X, [18XInternational
  Journal of Algebra and Computation[118X (2023).
  
  [[20XAui12[120X]  [16XAuinger,  K.[116X,  [17XKrohn–Rhodes  complexity  of Brauer type semigroups[117X,
  [18XPortugaliae Mathematica[118X, [19X69[119X, 4 (2012), 341–360.
  
  [[20XBDF15[120X]  [16XBrouwer,  A.  E.,  Draisma,  J.  and Frenk, B. J.[116X, [17XLossy Gossip and
  Composition  of  Metrics[117X,  [18XDiscrete  & Computational Geometry[118X, [19X53[119X, 4 (2015),
  890–913.
  
  [[20XBFCGOGJ92[120X] [16XBaccelli F. Cohen G. Olsder G. J., Q. J. P.[116X, [17XSynchronisation and
  Linearity: An Algebra for Discrete Event Systems[117X, Wiley (1992).
  
  [[20XBur16[120X]  [16XBurrell,  S.  A.[116X, [17XThe Order Problem for Natural and Tropical Matrix
  Semigroups[117X, MMath project, University of St Andrews, United Kingdom (2016).
  
  [[20XCP77[120X]  [16XClifford,  A. H. and Petrich, M.[116X, [17XSome classes of completely regular
  semigroups[117X, [18XJournal of Algebra[118X, [19X46[119X, 2 (1977), 462--480.
  
  [[20XDMW18[120X]  [16XDonoven,  C.,  Mitchell, J. D. and Wilson, W. A.[116X, [17XComputing maximal
  subsemigroups  of  a  finite  semigroup[117X,  [18XJournal  of  Algebra[118X,  [19X505[119X (2018),
  559-596.
  
  [[20XEas19[120X]  [16XEast, J.[116X, [17XPresentations for rook partition monoids and algebras and
  their singular ideals[117X, [18XJ. Pure and Applied Algebra[118X, [19X223[119X (2019), 1097-1122.
  
  [[20XEENMP19[120X]  [16XEast,  J.,  Egri-Nagy,  A.,  Mitchell,  J.  D.  and  Péresse, Y.[116X,
  [17XComputing finite semigroups[117X, [18XJ. Symbolic Computation[118X, [19X92[119X (2019), 110 - 155.
  
  [[20XFar09[120X]   [16XFarlow,   K.  G.[116X,  [17XMax-Plus  Algebra[117X,  Master's  thesis,  Virginia
  Polytechnic Institute and State University, United States (2009).
  
  [[20XFL98[120X]  [16XFitzgerald,  D. G. and Leech, J.[116X, [17XDual symmetric inverse monoids and
  representation theory[117X, [18XJ. Austral. Math. Soc. A[118X, [19X64[119X (1998), 345-67.
  
  [[20XFP97[120X]  [16XFroidure,  V.  and  Pin,  J.-E.[116X,  [17XAlgorithms  for  computing  finite
  semigroups[117X,  in  Foundations  of  computational mathematics (Rio de Janeiro,
  1997), Springer, Berlin (1997), 112–126.
  
  [[20XGau96[120X] [16XGaubert, S.[116X, [17XOn the Burnside problem for Semigroups of Matrices over
  the (max, +) Algebra[117X, [18XSemigroup Forum[118X, [19X5[119X (1996), 271-292.
  
  [[20XGGR68[120X]  [16XGraham,  N.,  Graham,  R.  and Rhodes, J.[116X, [17XMaximal subsemigroups of
  finite semigroups[117X, [18XJ. Combinatorial Theory[118X, [19X4[119X (1968), 203–209.
  
  [[20XGra68[120X]  [16XGraham,  R.[116X,  [17XOn  finite  0-simple  semigroups  and  graph  theory[117X,
  [18XMathematical systems theory[118X, [19X2[119X, 4 (1968), 325–339.
  
  [[20XGro06[120X]  [16XGrood,  C.[116X,  [17XThe  rook partition algebra[117X, [18XJ. Combin. Theory Ser. A[118X,
  [19X113[119X, 2 (2006), 325–351.
  
  [[20XHow95[120X]  [16XHowie, J. M.[116X, [17XFundamentals of semigroup theory[117X, The Clarendon Press
  Oxford University Press, London Mathematical Society Monographs. New Series,
  [19X12[119X, New York (1995), x+351 pages, (Oxford Science Publications).
  
  [[20XHR05[120X]  [16XHalverson,  T.  and Ram, A.[116X, [17XPartition algebras[117X, [18XEuropean Journal of
  Combinatorics[118X, Elsevier, [19X26[119X, 6 (2005), 869–921.
  
  [[20XJK07[120X] [16XJunttila, T. and Kaski, P.[116X ([1m[31mApplegate, D., Brodal, G. S., Panario, D.
  and  Sedgewick,  R.[15X, Eds.), [17XEngineering an efficient canonical labeling tool
  for  large  and  sparse  graphs[117X,  in  Proceedings  of  the Ninth Workshop on
  Algorithm  Engineering  and  Experiments and the Fourth Workshop on Analytic
  Algorithms and Combinatorics, SIAM (2007), 135–149.
  
  [[20XKM11[120X]  [16XKudryavtseva,  G.  and  Maltcev,  V.[116X,  [17XTwo  generalisations  of  the
  symmetric inverse semigroups[117X, [18XPubl. Math. Debrecen[118X, [19X78[119X, 2 (2011), 253–282.
  
  [[20XKMU15[120X]  [16XKudryavtseva,  G.,  Maltcev,  V. and Umar, A.[116X, [17XPresentation for the
  partial  dual  symmetric  inverse  monoid[117X,  [18XComm.  Algebra[118X,  [19X43[119X,  4  (2015),
  1621–1639.
  
  [[20XMM13[120X]   [16XMartin,   P.  and  Mazorchuk,  V.[116X,  [17XPartitioned  binary  relations[117X,
  [18XMathematica Scandinavica[118X, [19X113[119X (2013), 30-52.
  
  [[20XMM16[120X]  [16XMesyan,  Z.  and  Mitchell,  J. D.[116X, [17XThe structure of a graph inverse
  semigroup[117X, [18XSemigroup Forum[118X, Springer Nature, [19X93[119X, 1 (2016), 111–130.
  
  [[20XPet70[120X]  [16XPetrich,  M.[116X,  [17XThe  translational  hull  in  semigroups  and rings[117X,
  [18XSemigroup Forum[118X, [19X1[119X, 1 (1970), 283--360.
  
  [[20XRR10[120X] [16XRadoszewski, J. and Rytter, W.[116X ([1m[31mvan Leeuwen, J., Muscholl, A., Peleg,
  D.,  Pokorný,  J.  and Rumpe, B.[15X, Eds.), [17XEfficient Testing of Equivalence of
  Words  in  a  Free Idempotent Semigroup[117X, [18XSOFSEM 2010: Theory and Practice of
  Computer  Science[118X,  Springer  Berlin  Heidelberg, Berlin, Heidelberg (2010),
  663--671.
  
  [[20XSch92[120X]  [16XSchein,  B.  M.[116X,  [17XThe minimal degree of a finite inverse semigroup[117X,
  [18XTrans. Amer. Math. Soc.[118X, [19X333[119X, 2 (1992), 877–888.
  
  [[20XSim78[120X]  [16XSimon,  I.[116X, [17XLimited Subsets of a Free Monoid[117X, in Proceedings of the
  19th  Annual  Symposium  on  Foundations  of Computer Science, IEEE Computer
  Society, SFCS '78, Washington, DC, USA (1978), 143–150.
  
  [[20XWan19[120X]  [16XWang,  Z.-P.[116X,  [17XCongruences  on Graph Inverse Semigroups[117X, [18XJournal of
  Algebra[118X, Elsevier {BV}, [19X534[119X (2019), 51--64.
  
  
  
  [32X
