Residue curve maps of quaternary or multicomponent mixtures is difficu
lt to explore because natural imagination cannot be used in these case
s. Instead, use of combinatorial topology is suggested. Non-existence
of degenerated singularities is supposed and the trajectory bundles ar
e analyzed. Based on some bounding properties of the directed cycles,
occurring in the analyzed structures, a combinatorial algorithm is ske
tched for determining the k-dimension separatrices and the bounded dis
tillation regions.