Bacterial conjugation-based nanonetwork has been recently proposed as a novel molecular communication paradigm, in which the bacteria act as carriers. This is the foundational work proposing the phenomenon of collision which occurs in the form of multi-conjugation of multiple carrier bacteria at the side of receiver nanodevice. We show the effect of this conjugation-based collision on the maximum achievable throughput of the network, using a simple graph-theoretic approach, namely, Maximum Weight Bipartite Matching . One of the several interesting results that emerges concerns the maximum achievable throughput, which is bounded by in case of homogeneous nodes, where and refer to the total number of nodes, and the vertical layers in the network, respectively.