4 papers
Two Bijections on NBC Subsets
Houshan Fu, Baoren Peng, Suijie Wang +1
We establish two explicit bijections: from acyclic reorientations of an oriented matroid to no broken circuit (NBC) subsets of its underlying matroid, and from regions of a real hy…
Deformed Intersections of Half-spaces
Houshan Fu, Boxuan Li, Chunming Tang +1
This paper is devoted to the classification problems concerning extended deformations of convex polyhedra and real hyperplane arrangements in the following senses: combinatorial eq…
One-element Extensions of Hyperplane Arrangements
Hang Cai, Houshan Fu, Suijie Wang
We classify one-element extensions of a hyperplane arrangement by the induced adjoint arrangement. Based on the classification, several kinds of combinatorial invariants including…
Adjoints of Matroids
Houshan Fu, Chunming Tang, Suijie Wang
We show that an adjoint of a loopless matroid is connected if and only if it itself is connected. Our first goal is to study the adjoint of modular matroids. We prove that a modula…