3 papers
math.CO2023
Generalized Heawood Graphs and Triangulations of Tori
Cesar Ceballos, Joseph Doolittle
The Heawood graph is a remarkable graph that played a fundamental role in the development of the theory of graph colorings on surfaces in the 19th and 20th centuries. Based on perm…
math.CO2022
Subword Complexes and Kalai's Conjecture on Reconstruction of Spheres
Cesar Ceballos, Joseph Doolittle
A famous theorem in polytope theory states that the combinatorial type of a simplicial polytope is completely determined by its facet-ridge graph. This celebrated result was proven…
math.CO2016
The configuration space of a robotic arm in a tunnel
Federico Ardila, Hanner Bastidas, Cesar Ceballos +1
We study the motion of a robotic arm inside a rectangular tunnel. We prove that the configuration space of all possible positions of the robot is a CAT(0) cubical complex. This all…