In de novo genome assembly using short Illumina reads, the accurate determination of node and arc multiplicities in a de Bruijn graph has a large impact on the quality and contiguity of the assembly. The multiplicity estimates of nodes and arcs guide the cleaning of the de Bruijn graph by identifying spurious nodes and arcs that correspond to sequencing errors. Additionally, they can be used to guide repeat resolution. Here, we model the entire de Bruijn graph and the accompanying read coverage information with a single Conditional Random Field (CRF) model. We show that approximate inference using Loopy Belief Propagation (LBP) on our model improves multiplicity assignment accuracy within feasible runtimes. The order in which messages are passed has a large influence on the speed of LBP convergence. Little theoretical guarantees exist and the conditions for convergence are not easily checked as our CRF model contains higher-order interactions. Therefore, we also present an empirical evaluation of several message passing schemes that may guide future users of LBP on CRFs with higher-order interactions in their choice of message passing scheme.