TY - JOUR
T1 - On quadrangulations and Stokes complexes
AU - Bateni, Amir Hossein
AU - Manneville, Thibault
AU - Pilaud, Vincent
N1 - Publisher Copyright:
© 2017 Elsevier B.V.
PY - 2017/8/1
Y1 - 2017/8/1
N2 - Stokes complexes consist of sets of mutually noncrossing diagonals of a convex polygon, that are in some sense compatible with a reference quadrangulation. Originally defined by Y. Baryshnikov (2001), they were recently revisited by F. Chapoton (2016) who proposed several conjectures. We settle two of these conjectures and study geometric realizations of Stokes complexes using compatibility vectors.
AB - Stokes complexes consist of sets of mutually noncrossing diagonals of a convex polygon, that are in some sense compatible with a reference quadrangulation. Originally defined by Y. Baryshnikov (2001), they were recently revisited by F. Chapoton (2016) who proposed several conjectures. We settle two of these conjectures and study geometric realizations of Stokes complexes using compatibility vectors.
U2 - 10.1016/j.endm.2017.06.027
DO - 10.1016/j.endm.2017.06.027
M3 - Article
AN - SCOPUS:85026762283
SN - 1571-0653
VL - 61
SP - 107
EP - 113
JO - Electronic Notes in Discrete Mathematics
JF - Electronic Notes in Discrete Mathematics
ER -