% Ibland ska det vara Michelle Wachs, ibland Michelle L. Wachs

@book{B-B,
  author    = {Bj\"orner, A. and Brenti, F.},
  title     = {Combinatorics of {C}oxeter groups},
  series    = {Graduate Texts in Mathematics},
  volume    = {231},
  publisher = {Springer, New York},
  year      = {2005}}

@book{Diestel,
  author    = {Reinhard Diestel},
  title     = {Graph theory},
  series    = {Graduate Texts in Mathematics},
  volume    = {173},
  edition   = {fourth},
  publisher = {Springer, Heidelberg},
  year      = {2010}}

@book{Helgason,
  author    = {Sigurdur Helgason},
  title     = {Differential geometry, {L}ie groups, and symmetric spaces},
  series    = {Pure and Applied Mathematics},
  volume    = {80},
  publisher = {Academic Press, New York},
  year      = {1978}}

@book{Hudson,
  author    = {J. F. P. Hudson},
  title     = {Piecewise linear topology},
  series    = {University of Chicago Lecture Notes prepared with the assistance of J. L. Shaneson and J. Lees},
  volume    = {},
  publisher = {W. A. Benjamin, Inc., New York-Amsterdam},
  year      = {1969}}

@book{Humphreys,
  author    = {J.E. Humphreys},
  title     = {Reflection groups and {C}oxeter groups},
  series    = {Cambridge Studies in Advanced Mathematics},
  volume    = {29},
  publisher = {Cambridge University Press, Cambridge},
  year      = {1990}}

@book{Rourke-Sanderson,
  author    = {Colin Patrick Rourke and Brian Joseph Sanderson},
  title     = {Introduction to piecewise-linear topology},
  series    = {},
  volume    = {},
  publisher = {Springer-Verlag, New York-Heidelberg},
  year      = {1972}}

% NOTE = {Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 69}}

@book{Rourke-Sanderson_reprint,
  author    = {Colin Patrick Rourke and Brian Joseph Sanderson},
  title     = {Introduction to piecewise-linear topology},
  series    = {Springer Study Edition},
  volume    = {},
  publisher = {Springer-Verlag, Berlin-New York},
  year      = {1982},
  NOTE      = {reprint}}

@book{Stanley,
  author    = {Richard P. Stanley},
  title     = {Enumerative combinatorics. {V}ol.~1},
  series    = {Cambridge Studies in Advanced Mathematics},
  volume    = {49},
  publisher = {Cambridge University Press, Cambridge},
  year      = {1997}}

@misc{A-H-H,
	author  = {Abdallah, N. and Hansson, M. and Hultman, A.},
	title   = {Topology of posets with special partial matchings},
	eprint = {1712.00264},
	eprinttype = {arxiv},
	year    = {2017}}



@article{A-H,
  author  = {N. Abdallah and A. Hultman},
     TITLE = {Combinatorial invariance of {K}azhdan-{L}usztig-{V}ogan
              polynomials for fixed point free involutions},
   JOURNAL = {J. Algebraic Combin.},
    VOLUME = {47},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {543--560},
       DOI = {10.1007/s10801-017-0785-z}}

@article{A-B-H-V,
  author  = {A.S. Asratian and H.J. Broersma and J. {van den Heuvel} and H.J. Veldman},
  title   = {On graphs satisfying a local {O}re-type condition},
  journal = {J. Graph Theory},
  volume  = {21},
  year    = {1996},
  pages   = {1--10},
  url     = {}}

@article{Asratian,
  author  = {A.S. Asratian},
  title   = {New local conditions for a graph to be {H}amiltonian},
  journal = {Graphs Combin.},
  volume  = {22},
  year    = {2006},
  pages   = {153--160},
  url     = {}}

@article{Bjorner,
  author  = {A. Bj\"orner},
  title   = {Shellable and {C}ohen-{M}acaulay partially ordered sets},
  journal = {Trans. Amer. Math. Soc.},
  volume  = {260},
  year    = {1980},
  pages   = {159--183},
  number  = {1},
  DOI = {10.2307/1999881}}

@article{B-W_coxeter,
  author  = {A. Bj\"orner and M.L. Wachs},
  title   = {Bruhat order of {C}oxeter groups and shellability},
  journal = {Adv. Math.},
  volume  = {43},
  year    = {1982},
  pages   = {87--100},
  number  = {1},
  DOI = {10.1016/0001-8708(82)90029-9}}

@article{B-W_pure_posets,
  author  = {Anders Bj\"orner and Michelle Wachs},
  title   = {On lexicographically shellable posets},
  journal = {Trans. Amer. Math. Soc.},
  volume  = {277},
  year    = {1983},
  pages   = {323--341},
  url     = {}}

@article{B-W_quotients,
  author  = {Anders Bj\"orner and Michelle L. Wachs},
  title   = {Generalized quotients in {C}oxeter groups},
  journal = {Trans. Amer. Math. Soc.},
  volume  = {308},
  year    = {1988},
  pages   = {1--37},
  url     = {}}

@article{B-W_nonpure_I,
  author  = {Anders Bj\"orner and Michelle L. Wachs},
  title   = {Shellable nonpure complexes and posets. {I}},
  journal = {Trans. Amer. Math. Soc.},
  volume  = {348},
  year    = {1996},
  pages   = {1299--1327},
  url     = {}}

@article{B-W_nonpure_II,
  author  = {Anders Bj\"orner and Michelle L. Wachs},
  title   = {Shellable nonpure complexes and posets. {II}},
  journal = {Trans. Amer. Math. Soc.},
  volume  = {349},
  year    = {1997},
  pages   = {3945--3975},
  url     = {}}

@article{Bondy,
  author  = {J. A. Bondy},
  title   = {Pancyclic graphs. {I}},
  journal = {J. Combinatorial Theory Ser.~B},
  volume  = {11},
  year    = {1971},
  pages   = {80--84},
  url     = {}}

@article{BO-H,
  author  = {Marta Borowiecka-Olszewska and Mariusz Ha{\l}uszczak},
  title   = {On {R}amsey {$(K_{1,m},\scr{G})$}-minimal graphs},
  journal = {Discrete Math.},
  volume  = {313},
  year    = {2013},
  pages   = {1843--1855},
  url     = {}}

@article{Brenti_intersection,
  author  = {F. Brenti},
  title   = {The intersection cohomology of {S}chubert varieties is a combinatorial invariant},
  journal = {European J. Combin.},
  volume  = {25},
  year    = {2004},
  pages   = {1151--1167},
  number  = {8},
  DOI = {10.1016/j.ejc.2003.10.011}}

@article{C-C-T,
  author  = {M.B. Can and Y. Cherniavsky and T. Twelbeck},
  title   = {Lexicographic shellability of the {B}ruhat-{C}hevalley order on fixed-point-free involutions},
  journal = {Israel J. Math.},
  volume  = {207},
  year    = {2015},
  pages   = {281--299},
  number  = {1},
  DOI = {10.1007/s11856-015-1189-1}}

@article{C-J-W,
  author  = {Mahir Bilen Can and Michael Joyce and Benjamin Wyser},
  title   = {Chains in weak order posets associated to involutions},
  journal = {J. Combin. Theory Ser.~A},
  volume  = {137},
  year    = {2016},
  pages   = {207--225},
  url     = {}}

@article{C-M,
  author  = {F. Caselli and M. Marietti},
  title   = {Special matchings in {C}oxeter groups},
  journal = {European J. Combin.},
  volume  = {61},
  year    = {2017},
  pages   = {151--166},
  DOI = {10.1016/j.ejc.2016.10.007}}

@article{Chari,
  author  = {Manoj K. Chari},
  title   = {On discrete {M}orse functions and combinatorial decompositions},
  journal = {Discrete Math.},
  volume  = {217},
  year    = {2000},
  pages   = {101--113},
  url     = {}}

% NOTE = {Formal power series and algebraic combinatorics (Vienna, 1997)}

@incollection{Chevalley,
  author    = {C. Chevalley},
  title     = {Sur les d\'ecompositions cellulaires des espaces {$G/B$}},
  booktitle = {Algebraic groups and their generalizations: classical methods ({U}niversity {P}ark, {PA}, 1991)},
  series    = {Proc. Sympos. Pure Math.},
  volume    = {56},
  pages     = {1--23},
  publisher = {Amer. Math. Soc., Providence, RI},
  year      = {1994}}

@article{Davis,
  author  = {Michael W. Davis},
  title   = {Groups generated by reflections and aspherical manifolds not covered by {E}uclidean space},
  journal = {Ann. of Math.~(2)},
  volume  = {117},
  year    = {1983},
  pages   = {293--324},
  url     = {}}

@article{du_Cloux,
  author  = {F. {du Cloux}},
  title   = {An abstract model for {B}ruhat intervals},
  journal = {European J. Combin.},
  volume  = {21},
  year    = {2000},
  pages   = {197--222},
  number  = {2},
  DOI = {10.1006/eujc.1999.0343}}

@phdthesis{Dyer_thesis,
  author = {M.J. Dyer},
  title  = {Hecke algebras and reflections in {C}oxeter groups},
  school = {University of Sydney},
  year   = {1987}}

@article{Edelman,
  author  = {Paul H. Edelman},
  title   = {The {B}ruhat order of the symmetric group is lexicographically shellable},
  journal = {Proc. Amer. Math. Soc.},
  volume  = {82},
  year    = {1981},
  pages   = {355--358},
  url     = {}}

@article{Erdos1959,
  author  = {P. Erd{\H{o}}s},
  title   = {Graph theory and probability},
  journal = {Canad. J. Math.},
  volume  = {11},
  year    = {1959},
  pages   = {34--38},
  url     = {}}

@article{E-F-R-S1,
  author  = {P. Erd{\H{o}}s and R. J. Faudree and C. C. Rousseau and R. H. Schelp},
  title   = {Generalized {R}amsey theory for multiple colors},
  journal = {J. Combinatorial Theory Ser.~B},
  volume  = {20},
  year    = {1976},
  pages   = {250--264},
  url     = {}}

@article{E-F-R-S2,
  author  = {P. Erd{\H{o}}s and R. J. Faudree and C. C. Rousseau and R. H. Schelp},
  title   = {On cycle-complete graph {R}amsey numbers},
  journal = {J. Graph Theory},
  volume  = {2},
  year    = {1978},
  pages   = {53--64},
  url     = {}}

@article{F-S1,
  author  = {R. J. Faudree and R. H. Schelp},
  title   = {All {R}amsey numbers for cycles in graphs},
  journal = {Discrete Math.},
  volume  = {8},
  year    = {1974},
  pages   = {313--329},
  url     = {}}

@incollection{F-S2,
  author    = {R. J. Faudree and R. H. Schelp},
  title     = {Some problems in {R}amsey theory},
  booktitle = {Theory and applications of graphs ({P}roc. {I}nternat. {C}onf., {W}estern {M}ich. {U}niv., {K}alamazoo, {M}ich., 1976)},
  series    = {Lecture Notes in Math.},
  volume    = {642},
  pages     = {500--515},
  publisher = {Springer, Berlin},
  year      = {1978}}

@article{F-S-S,
  author  = {R. J. Faudree and R. H. Schelp and Mikl{\'o}s Simonovits},
  title   = {On some {R}amsey type problems connected with paths, cycles and trees},
  journal = {Ars Combin.},
  volume  = {29},
  year    = {1990},
  pages   = {97--106},
  url     = {}}

% volume = 29A?

@article{Forman,
  author  = {Robin Forman},
  title   = {Morse theory for cell complexes},
  journal = {Adv. Math.},
  volume  = {134},
  year    = {1998},
  pages   = {90--145},
  url     = {}}

@article{Forman2,
  author  = {Robin Forman},
  title   = {A user's guide to discrete {M}orse theory},
  journal = {S\'em. Lothar. Combin.},
  volume  = {48},
  year    = {2002},
  pages   = {Art.\ B48c, 35~pp.},
  url     = {}}

@article{H-M-P,
  author  = {Zachary Hamaker and Eric Marberg and Brendan Pawlowski},
  title   = {Involution words {II}: braid relations and atomic structures},
  journal = {J. Algebraic Combin.},
  volume  = {45},
  year    = {2017},
  pages   = {701--743},
  url     = {}}

@article{Hansson_graded_A,
  author  = {Mikael Hansson},
  title   = {The {B}ruhat order on conjugation-invariant sets of involutions in the symmetric group},
  journal = {J. Algebraic Combin.},
  volume  = {44},
  year    = {2016},
  pages   = {849--862},
  url     = {}}

@misc{Hansson_Ramsey,
  author  = {Mikael Hansson},
  title   = {Generalised {R}amsey numbers for two sets of cycles},
  eprinttype = {arxiv},
  year    = {2016},
  eprint   = {1605.04301v1}}

@article{H-H_words,
  author  = {M.~Hansson and A.~Hultman},
  title   = {A word property for twisted involutions in {C}oxeter groups},
  journal = {preprint},
  volume  = {},
  year    = {2017},
  pages   = {\texttt{arXiv:1704.08329v1}},
  url     = {}}

@incollection{Harary,
  author    = {Frank Harary},
  title     = {A survey of generalized {R}amsey theory},
  booktitle = {Graphs and combinatorics ({P}roc. {C}apital {C}onf., {G}eorge {W}ashington {U}niv., {W}ashington, {D}.{C}., 1973)},
  series    = {Lecture Notes in Math.},
  volume    = {406},
  pages     = {10--17},
  publisher = {Springer, Berlin},
  year      = {1974}}

@phdthesis{Hook_thesis,
  author = {Jonelle Hook},
  title  = {The classification of critical graphs and star-critical {R}amsey numbers},
  school = {Lehigh University},
  year   = {2010},
  url    = {}}

@article{H-I,
  author  = {Jonelle Hook and Garth Isaak},
  title   = {Star-critical {R}amsey numbers},
  journal = {Discrete Appl. Math.},
  volume  = {159},
  year    = {2011},
  pages   = {328--334},
  url     = {}}

@article{H-Z,
  author  = {Jun Hu and Jing Zhang},
  title   = {On involutions in symmetric groups and a conjecture of {L}usztig},
  journal = {Adv. Math.},
  volume  = {287},
  year    = {2016},
  pages   = {1--30},
  url     = {}}

@article{H-Z_BD,
  author  = {Jun Hu and Jing Zhang},
  title   = {On involutions in {W}eyl groups},
  journal = {J. Lie Theory},
  volume  = {27},
  year    = {2017},
  pages   = {671--706},
  url     = {}}

@article{H-Z-W,
  author  = {Jun Hu and Jing Zhang and Yabo Wu},
  title   = {On involutions in {W}eyl group of type~{$F_4$}},
  journal = {preprint},
  volume  = {},
  year    = {2016},
  pages   = {},
  url     = {}}

@article{Hultman1,
  author  = {Axel Hultman},
  title   = {Fixed points of involutive automorphisms of the {B}ruhat order},
  journal = {Adv. Math.},
  volume  = {195},
  year    = {2005},
  pages   = {283--296},
  url     = {}}

@article{Hultman2,
  author  = {Axel Hultman},
  title   = {The combinatorics of twisted involutions in {C}oxeter groups},
  journal = {Trans. Amer. Math. Soc.},
  volume  = {359},
  year    = {2007},
  pages   = {2787--2798},
  url     = {}}

@article{Hultman3,
  author  = {A. Hultman},
  title   = {Twisted identities in {C}oxeter groups},
  journal = {J. Algebraic Combin.},
  volume  = {28},
  year    = {2008},
  pages   = {313--332},
  number  = {2},
  DOI = {10.1007/s10801-007-0106-z}}

@article{Hultman_zircon,
  author  = {A. Hultman},
  title   = {Fixed points of zircon automorphisms},
  journal = {Order},
  volume  = {25},
  year    = {2008},
  pages   = {85--90},
  number  = {2},
  DOI = {10.1007/s11083-008-9080-x}}

@article{Incitti_A,
  author  = {F. Incitti},
  title   = {The {B}ruhat order on the involutions of the symmetric group},
  journal = {J. Algebraic Combin.},
  volume  = {20},
  year    = {2004},
  pages   = {243--261},
  number  = {3},
  DOI = {10.1023/B:JACO.0000048514.62391.f4}}

@article{Incitti_B,
  author  = {F. Incitti},
  title   = {The {B}ruhat order on the involutions of the hyperoctahedral group},
  journal = {European J. Combin.},
  volume  = {24},
  year    = {2003},
  pages   = {825--848},
  number  = {7},
  DOI = {10.1016/S0195-6698(03)00103-3}}

@article{Incitti_D,
  author  = {F. Incitti},
  title   = {Bruhat order on the involutions of classical {W}eyl groups},
  journal = {Adv. in Appl. Math.},
  volume  = {37},
  year    = {2006},
  pages   = {68--111},
  number  = {1},
  DOI = {10.1016/j.aam.2005.11.002}}

@article{Jung,
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  title   = {On maximal circuits in finite graphs},
  journal = {Ann. Discrete Math.},
  volume  = {3},
  year    = {1978},
  pages   = {129--144},
  url     = {}}

@article{K-R,
  author  = {Gyula K{\'a}rolyi and Vera Rosta},
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  journal = {Theoret. Comput. Sci.},
  volume  = {263},
  year    = {2001},
  pages   = {87--98},
  url     = {}}

@article{Lusztig,
  author  = {George Lusztig},
  title   = {A bar operator for involutions in a {C}oxeter group},
  journal = {Bull. Inst. Math. Acad. Sin. (N.S.)},
  volume  = {7},
  year    = {2012},
  pages   = {355--404},
  url     = {}}

@article{L-V,
  author  = {George Lusztig and David A. {Vogan, Jr.}},
  title   = {Hecke algebras and involutions in {W}eyl groups},
  journal = {Bull. Inst. Math. Acad. Sin. (N.S.)},
  volume  = {7},
  year    = {2012},
  pages   = {323--354},
  url     = {}}

@phdthesis{Mandel_thesis,
  author = {Arnaldo Mandel},
  title  = {Topology of oriented matroids},
  school = {University of Waterloo},
  year   = {1982},
  url    = {}}

@article{Marberg1,
  author  = {Eric Marberg},
  title   = {Positivity conjectures for {K}azhdan-{L}usztig theory on twisted involutions: the universal case},
  journal = {Represent. Theory},
  volume  = {18},
  year    = {2014},
  pages   = {88--116},
  url     = {}}

@article{Marberg2,
  author  = {Eric Marberg},
  title   = {Braid relations for involution words in affine {C}oxeter groups},
  journal = {preprint},
  volume  = {},
  year    = {2017},
  pages   = {\texttt{arXiv:1703.10437v3}},
  url     = {}}

@article{Marietti,
  author  = {M. Marietti},
  title   = {Algebraic and combinatorial properties of zircons},
  journal = {J. Algebraic Combin.},
  volume  = {26},
  year    = {2007},
  pages   = {363--382},
  number  = {3},
  DOI = {10.1007/s10801-007-0061-8}}

@article{Marietti_coxeter,
  author  = {M. Marietti},
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  volume  = {23},
  year    = {2008/09},
  pages   = {319--332},
  number  = {1},
  DOI = {10.1137/070695034}}

@article{Matsumoto,
  author  = {Hideya Matsumoto},
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  volume  = {258},
  year    = {1964},
  pages   = {3419--3422},
  url     = {}}

@article{Nara,
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  year    = {1980},
  pages   = {75--80},
  url     = {}}

@article{Ore,
  author  = {Oystein Ore},
  title   = {Note on {H}amilton circuits},
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  year    = {1960},
  pages   = {55},
  url     = {}}

@article{Radz,
  author  = {Stanis{\l}aw P. Radziszowski},
  title   = {Small {R}amsey numbers},
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  volume  = {1},
  year    = {2014},
  pages   = {94~pp. (electronic)},
  url     = {}}

@article{R-V,
  author  = {E.M. Rains and M.J. Vazirani},
  title   = {Deformations of permutation representations of {C}oxeter groups},
  journal = {J. Algebraic Combin.},
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  year    = {2013},
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  number  = {3},
  DOI = {10.1007/s10801-012-0371-3}}

@article{Ramsey,
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  title   = {On a problem of formal logic},
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  volume  = {30},
  year    = {1930},
  pages   = {264-286},
  url     = {}}

@article{Reading,
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  pages   = {no. 74, 25~pp.},
  url     = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v11i1r74}}

@article{R-S1,
  author  = {R. W. Richardson and T. A. Springer},
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  volume  = {35},
  year    = {1990},
  pages   = {389--436},
  url     = {}}

@article{R-S2,
  author  = {R. W. Richardson and T. A. Springer},
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  journal = {Geom. Dedicata},
  volume  = {49},
  year    = {1994},
  pages   = {231--238},
  url     = {}}

@article{Rosta,
  author  = {Vera Rosta},
  title   = {On a {R}amsey-type problem of {J}.~{A}.~{B}ondy and {P}.~{E}rd{\H o}s. {I}~\&~{II}},
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  year    = {1973},
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  url     = {}}

@article{Saito,
  author  = {Akira Saito},
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  volume  = {20},
  year    = {1996},
  pages   = {155--159},
  url     = {}}

@article{Spencer,
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  volume  = {20},
  year    = {1977},
  pages   = {69--76},
  url     = {}}

@incollection{Springer,
  author    = {T. A. Springer},
  title     = {Some results on algebraic groups with involutions},
  booktitle = {Algebraic groups and related topics ({K}yoto/{N}agoya, 1983)},
  series    = {Adv. Stud. Pure Math.},
  volume    = {6},
  pages     = {525--543},
  publisher = {North-Holland, Amsterdam},
  year      = {1985}}

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@incollection{Wachs,
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% På mathscinet var mycket fel i BibTeX-formatet 2017-07-19

@article{Whitehead_annals,
  author  = {J. H. C. Whitehead},
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% *  Fr.o.m. volym 74 (1989), tidigare Adv. in Math.
% ** Tidigare J. Combinatorial Theory Ser.~A/B

% Adv. in Appl. Math.                 % Advances in Applied Mathematics
% Adv. Math.*                         % Advances in Mathematics
% Amer. Math. Monthly                 % The American Mathematical Monthly
% Ann. Discrete Math.                 % Annals of Discrete Mathematics
% Ann. of Math.~(2)                   % Annals of Mathematics. Second Series
% Ars Combin.                         % Ars Combinatoria
% Bull. Inst. Math. Acad. Sin. (N.S.) % Bulletin of the Institute of Mathematics. Academia Sinica. New Series
% Bull. London Math. Soc.             % Bulletin of the London Mathematical Society
% Canad. J. Math.                     % Canadian Journal of Mathematics. Journal Canadien de Mathématiques
% C. R. Acad. Sci. Paris              % ?
% Discrete Appl. Math.                % Discrete Applied Mathematics
% Discrete Math.                      % Discrete Mathematics
% Electron. J. Combin.                % Electronic Journal of Combinatorics
% European J. Combin.                 % European Journal of Combinatorics
% Geom. Dedicata                      % Geometriae Dedicata
% Graphs Combin.                      % Graphs and Combinatorics
% Israel J. Math.                     % Israel Journal of Mathematics
% J. Algebra                          % Journal of Algebra
% J. Algebraic Combin.                % Journal of Algebraic Combinatorics
% J. Combin. Math. Combin. Comput.    % Journal of Combinatorial Mathematics and Combinatorial Computing
% J. Combin. Theory Ser.~A**          % Journal of Combinatorial Theory, Series A
% J. Combin. Theory Ser.~B**          % Journal of Combinatorial Theory, Series B
% J. Graph Theory                     % Journal of Graph Theory
% J. Lie Theory                       % Journal of Lie Theory
% Natur. Sci. Rep. Ochanomizu Univ.   % Natural Science Report of the Ochanomizu University
% Order                               % Order
% Proc. Amer. Math. Soc.              % Proceedings of the American Mathematical Society
% Proc. London Math. Soc.             % Proceedings of the London Mathematical Society
% Represent. Theory                   % Representation Theory
% S\'em. Lothar. Combin.              % S\'eminaire Lotharingien de Combinatoire
% SIAM J. Discrete Math.              % SIAM Journal on Discrete Mathematics
% Theoret. Comput. Sci.               % Theoretical Computer Science
% Trans. Amer. Math. Soc.             % Transactions of the American Mathematical Society

@INBOOK{Mumford,
  chapter   = {Elastica and computer vision},
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@TECHREPORT{R.Duits,
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