Annotating Simplices with a Homology Basis and Its Applications

Oleksiy Busaryev, Sergio Cabello, Chao Chen +2

Let $K$ be a simplicial complex and $g$ the rank of its $p$-th homology group $H_p(K)$ defined with $Z_2$ coefficients. We show that we can compute a basis $H$ of $H_p(K)$ and anno…