The following directed acyclic graph (DAG) represents the partially ordered set induced by the flux order relation in EColiCore2, a core metabolic network of the bacterium Escherichia coli. See the original publication for details.

This interactive graph has been generated with cytoscape.js. Nodes are biochemical reactions while (directed) edges represent the flux order relation, i.e., and edge $v_i → v_j$ implies $v_i \geq v_j$. The current selected node is green-colored and the name of the biochemical reaction is displayed above the graph. All parent reactions of the selected node, i.e., all reactions with an equal or greater flux value than the selected node, are colored in pink, while all children reactions, i.e., all reactions with an equal or lower flux value, are colored in purple. The selected reaction can be changed by searching for the reaction name in the drop list or by directly clicking or touching a node. Mouse-hovering on nodes displays the full reaction name instead of the default reaction identifier. The graph also admits drag events. Finally, the bar plot represents the number of reactions per metabolic subsystem in the sets of parent and children reactions in the selected node. Reactions with a higher number of children reactions tend to be associated to critical subsystems such as ATP production or nutrient exchange.