2 citations · 4 across the 4 of their papers we have counts for
4 papers
Diagonal complexes for surfaces of finite type and surfaces with involution
Joseph Gordon, Gaiane Panina
Two related constructions are studied: (1) The diagonal complex and its barycentric subdivision related to a \textit{punctured} oriented surface eq…
Polygons with prescribed edge slopes: configuration space and extremal points of perimeter
Joseph Gordon, Gaiane Panina, Yana Teplitskaya
We describe the configuration space of polygons with prescribed edge slopes, and study the perimeter as a Morse function on . We characterize…
Diagonal complexes
Joseph Gordon, Gaiane Panina
Given an -gon, the poset of all collections of pairwise non-crossing diagonals is isomorphic to the face poset of some convex polytope called \textit{associahedron}. We replace…
Combinatorics of the Lipschitz polytope
J. Gordon, F. Petrov
Let be a metric on the set . Consider the -dimensional polytope of functions , which satisfy the conditions , $|f(x…