Fig. 16From: Path homologies of motifs and temporal network representationsTemporal digraph of the DCN \({\mathcal {C}} := \{(1,4,\tau _1), (5,4,\tau _2), (2,5,\tau _3), (4,3,\tau _4)\}\) with \(\tau _1< \tau _2< \tau _3 < \tau _4\). We indicate a temporally coherent path from \({\mathcal {C}}\)-vertices 1 to 3 (with bold versus gray arrows). By comparison, there is no temporally coherent path from 2 to 3. Temporal (resp. spatial) arcs are horizontal (resp. vertical); temporal fibers are vertices along horizontal pathsBack to article page