J. Aramayona, H. Parlier, and K. J. Shackleton, Totally geodesic subgraphs of the pants complex, Mathematical Research Letters, vol.15, issue.2, pp.309-320, 2008.
DOI : 10.4310/MRL.2008.v15.n2.a9

J. Aramayona, H. Parlier, and K. J. Shackleton, Constructing convex planes in the pants complex, Proc. Amer, pp.3523-3531, 2009.
DOI : 10.1090/S0002-9939-09-09907-9

J. A. Behrstock, Asymptotic geometry of the mapping class group and Teichm??ller space, Geometry & Topology, vol.10, issue.3, pp.1523-1578, 2006.
DOI : 10.2140/gt.2006.10.1523

F. Bonahon, Shearing hyperbolic surfaces, bending pleated surfaces and Thurston's symplectic form, Annales de la facult?? des sciences de Toulouse Math??matiques, vol.5, issue.2, pp.233-297, 1996.
DOI : 10.5802/afst.829

P. Bose and F. Hurtado, Flips in planar graphs, Computational Geometry, vol.42, issue.1, pp.60-80, 2009.
DOI : 10.1016/j.comgeo.2008.04.001

P. Bose and A. Verdonschot, A history of combinatorial flips, Lect. Not. Comp. Sc

B. H. Bowditch and D. B. Epstein, Natural triangulations associated to a surface, Topology, vol.27, issue.1, pp.91-117, 1988.
DOI : 10.1016/0040-9383(88)90008-0

B. Braun and R. Ehrenborg, The complex of non-crossing diagonals of a polygon, Journal of Combinatorial Theory, Series A, vol.117, issue.6, pp.642-649, 2010.
DOI : 10.1016/j.jcta.2010.03.003

R. Martin, A. Bridson, and . Haefliger, Metric spaces of nonpositive curvature, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1999.

J. Brock and D. Margalit, Weil-Petersson isometries via the pants complex Comparison between Teichmüller and Lipschitz metrics, Proc. Amer. Math. Soc. J. Lond. Math. Soc, vol.13514, issue.323, pp.795-803, 2007.

V. Disarlo, On the coarse geometry of the complex of domains In Handbook of Teichmüller theory, IRMA Lect. Math. Theor. Phys. Eur. Math. Soc, vol.17, pp.425-439, 2012.

V. Disarlo, Combinatorial rigidity of arc complexes, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00771195

B. Farb and D. Margalit, A primer on mapping class groups, Princeton Mathematical Series, vol.49
DOI : 10.1515/9781400839049

A. Fathi, F. Laudenbach, and V. Poénaru, Thurston's work on surfaces. Transl. from the French by, Mathematical Notes, vol.48, issue.255, 2012.

W. Fenchel and J. Nielsen, Discontinuous groups of isometries in the hyperbolic plane, 2003.
DOI : 10.1515/9783110891355

V. Fock and A. Goncharov, Moduli spaces of local systems and higher Teichmüller theory, Publ. Math. Inst. HautesÉtudesHautes´HautesÉtudes Sci, issue.103, pp.1-211, 2006.

V. Vladimir, A. B. Fock, and . Goncharov, Cluster ensembles, quantization and the dilogarithm, Ann. Sci. ´ Ec. Norm. Supér, issue.46, pp.42865-930, 2009.

S. Fomin, M. Shapiro, and D. Thurston, Cluster algebras and triangulated surfaces. Part I: Cluster complexes, Acta Mathematica, vol.201, issue.1, pp.83-146, 2008.
DOI : 10.1007/s11511-008-0030-7

S. Fomin and D. Thurston, Cluster algebras and triangulated surfaces. part ii: Lambda lengths, p.2012

C. I. Grima and A. Márquez, Computational geometry on surfaces, 2001.
DOI : 10.1007/978-94-015-9809-5

U. Hamenstädt, Geometric properties of the mapping class group In Problems on mapping class groups and related topics, of Proc. Sympos. Pure Math, pp.215-232, 2006.

L. John and . Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math, vol.121, issue.22, pp.215-249, 1985.

L. John and . Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math, vol.84, issue.1, pp.157-176, 1986.

W. J. Harvey, Boundary Structure of The Modular Group, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference, pp.245-251, 1978.
DOI : 10.1515/9781400881550-019

A. Hatcher, On triangulations of surfaces, Topology and its Applications, vol.40, issue.2, pp.189-194, 1991.
DOI : 10.1016/0166-8641(91)90050-V

A. Hatcher and W. P. Thurston, A presentation for the mapping class group of a closed orientable surface, Topology, vol.19, issue.3, pp.221-237, 1980.
DOI : 10.1016/0040-9383(80)90009-9

E. Irmak and J. D. Mccarthy, Injective simplicial maps of the arc complex, Turkish J. Math, vol.34, issue.3, pp.339-354, 2010.

N. V. Ivanov, Automorphism of complexes of curves and of Teichmüller spaces, Internat. Math. Res. Notices, issue.14, pp.651-666, 1997.

N. V. Ivanov, Mapping Class Groups, Handbook of geometric topology, pp.523-633, 2002.
DOI : 10.1016/B978-044482432-5/50013-5

E. Klarreich, The boundary at infinity of the curve complex

M. Korkmaz, Automorphisms of complexes of curves on punctured spheres and on punctured tori, Topology and its Applications, vol.95, issue.2, pp.85-111, 1999.
DOI : 10.1016/S0166-8641(97)00278-2

M. Korkmaz and A. Papadopoulos, On the arc and curve complex of a surface, Mathematical Proceedings of the Cambridge Philosophical Society, vol.33, issue.03, pp.473-483, 2010.
DOI : 10.1016/0166-8641(91)90050-V
URL : https://hal.archives-ouvertes.fr/hal-00405188

M. Korkmaz and A. Papadopoulos, Sur le graphe des triangulations id??ales d???une surface ??point??e, Annales de l???institut Fourier, vol.62, issue.4, p.2012
DOI : 10.5802/aif.2725

L. Liu, A. Papadopoulos, W. Su, and G. Théret, Length spectra and the Teichm??ller metric for surfaces with boundary, Monatshefte f??r Mathematik, vol.109, issue.2, pp.295-311, 2010.
DOI : 10.1007/s00605-009-0145-8

L. Liu, A. Papadopoulos, W. Su, and G. Théret, On length spectrum metrics and weak metrics on Teichm??ller spaces of surfaces with boundary, Annales Academiae Scientiarum Fennicae Mathematica, vol.35, issue.1, pp.255-274, 2010.
DOI : 10.5186/aasfm.2010.3515

L. Liu, A. Papadopoulos, W. Su, and G. Théret, On the classification of mapping class actions on Thurston's asymmetric metric, Mathematical Proceedings of the Cambridge Philosophical Society, vol.24, issue.03, 2011.
DOI : 10.1215/S0012-7094-82-04912-2

F. Luo, Automorphisms of the complex of curves, Topology, vol.39, issue.2, pp.283-298, 2000.
DOI : 10.1016/S0040-9383(99)00008-7

F. Luo, On Teichmüller spaces of surfaces with boundary. Duke Math, J, vol.139, issue.3, pp.463-482, 2007.

D. Margalit, Automorphisms of the pants complex, Duke Mathematical Journal, vol.121, issue.3, pp.457-479, 2004.
DOI : 10.1215/S0012-7094-04-12133-5

H. Masur and S. Schleimer, The geometry of the disk complex, Journal of the American Mathematical Society, vol.26, issue.1, pp.1-62, 2013.
DOI : 10.1090/S0894-0347-2012-00742-5

A. Howard, Y. N. Masur, and . Minsky, Geometry of the complex of curves. I. Hyperbolicity, Invent. Math, vol.138, issue.1, pp.103-149, 1999.

A. Howard, Y. N. Masur, and . Minsky, Geometry of the complex of curves. II. Hierarchical structure, Geom. Funct. Anal, vol.10, issue.4, pp.902-974, 2000.

D. John, A. Mccarthy, and . Papadopoulos, Simplicial actions of mapping class groups In Handbook of Teichmüller theory, IRMA Lect. Math. Theor. Phys. Eur. Math. Soc, vol.17, pp.297-423, 2012.

G. Mondello, Riemann surfaces with boundary and natural triangulations of the Teichmüller space, J. Eur. Math. Soc. (JEMS), vol.13, issue.3, pp.635-684, 2011.

L. Mosher, Tiling the projective foliation space of a punctured surface, Transactions of the American Mathematical Society, vol.306, issue.1, pp.1-70, 1988.
DOI : 10.1090/S0002-9947-1988-0927683-0

J. R. Munkres, Elements of algebraic topology, 1984.

A. Papadopoulos and G. Théret, On the topology defined by Thurston's asymmetric metric, Mathematical Proceedings of the Cambridge Philosophical Society, vol.142, issue.03, pp.487-496, 2007.
DOI : 10.1017/S0305004107000023

A. Papadopoulos and G. Théret, Shortening all the simple closed geodesics on surfaces with boundary, Proc. Amer, pp.1775-1784, 2010.
DOI : 10.1090/S0002-9939-09-10195-8
URL : https://hal.archives-ouvertes.fr/hal-00389344

A. Papadopoulos and G. Théret, Some Lipschitz maps between hyperbolic surfaces with applications to Teichm??ller theory, Geometriae Dedicata, vol.10, issue.4, pp.63-83, 2012.
DOI : 10.1007/s10711-012-9694-4

C. Robert and . Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys, vol.113, issue.2, pp.299-339, 1987.

C. Robert and . Penner, Universal constructions in Teichmüller theory, Adv. Math, vol.98, issue.2, pp.143-215, 1993.

C. Robert and . Penner, The simplicial compactification of Riemann's moduli space, Topology and Teichmüller spaces (Katinkulta, pp.237-252, 1995.

C. Robert and . Penner, Decorated Teichmüller theory of bordered surfaces, Comm. Anal. Geom, vol.12, issue.4, pp.793-820, 2004.

C. Robert and . Penner, Probing mapping class groups using arcs In Problems on mapping class groups and related topics, of Proc. Sympos. Pure Math, pp.97-114, 2006.

C. Robert and . Penner, The structure and singularities of quotient arc complexes, J. Topol, vol.1, issue.3, pp.527-550, 2008.

C. Robert and . Penner, Decorated Teichmüller theory. Eur, Math. Soc

K. Rafi and J. Tao, The diameter of the thick part of moduli space and simultaneous Whitehead moves, Duke Mathematical Journal, vol.162, issue.10, 2011.
DOI : 10.1215/00127094-2323128

D. D. Sleator, R. E. Tarjan, and W. P. Thurston, Rotation distance, triangulations, and hyperbolic geometry, Proceedings of the eighteenth annual ACM symposium on Theory of computing , STOC '86, pp.647-681, 1988.
DOI : 10.1145/12130.12143

D. D. Sleator, R. E. Tarjan, and W. P. Thurston, Short Encodings of Evolving Structures, SIAM Journal on Discrete Mathematics, vol.5, issue.3, pp.428-450, 1992.
DOI : 10.1137/0405034

O. Teichmüller, Vollständige Lösung einer Extremalaufgabe der quasikonformen Abbildung, Abh. Preuss. Akad. Wiss. Math.-Nat. Kl, issue.5, p.18, 1941.

O. Teichmüller, Bestimmung der extremalen quasikonformen Abbildungen bei geschlossenen orientierten Riemannschen Flächen, Abh. Preuss. Akad. Wiss. Math.-Nat. Kl, issue.4, p.42, 1943.

P. William and . Thurston, Minimal stretch maps between hyperbolic surfaces, 9801039.

P. William and . Thurston, Three-dimensional geometry and topology, Princeton Mathematical Series, vol.1, issue.35, 1997.

A. Ushijima, A Canonical Cellular Decomposition of the Teichm??ller Space of Compact Surfaces with Boundary, Communications in Mathematical Physics, vol.201, issue.2, pp.305-326, 1999.
DOI : 10.1007/s002200050557