Before revision: This paper  provides a proof of the Global Attractor Conjecture in the setting where the underlying reaction diagram consists of a single linkage class . The method of partitioning a set of vectors along a sequence is introduced and acts as one of the main analytical tools  .
After revision: This paper provides a proof of the Global Attractor Conjecture in the setting where the underlying reaction diagram consists of a single linkage class , or connected component. The conjecture dates back to the early 1970s and is the most well known and important open problem in the field of chemical reaction network theory. The resolution of the conjecture has important biological and mathematical implications in both the deterministic and stochastic settings. The method of partitioning a set of vectors along a sequence is introduced and acts as one of the main analytical tools .