The higher level sub-network is a path visiting two or more nodes.
37. A Hamiltonian path on a graph is a path visiting every node exactly once.
In this study, a cycle of length l is defined as a path visiting a node twice and visiting other l−2 nodes exactly once.
Fig. 2 The diagram of the besieged walker, where a shows the walker is besieged by the path visited before, b shows the walker is besieged by sensors.
You even end up taking the road less traveled and find yourself off the beaten path, visiting more than just the typical travel sites of your new turf.
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Similarly, we have σ(A∪{u})−σ(A)≥σ(B∪{u})−σ(B) because σ(A∪{u})−σ(A) is the sum of probabilities of simple paths visit u exactly once in community (A∪{u}), and σ(B∪{u})−σ(B) is the sum of probabilities of simple paths visit u exactly once in community (B∪{u}) which is a subset of the former.
The adjacency structure between any two orthants reflects the edges shared by the two corresponding topologies and permits the definition of paths visiting several orthants.
Therefore, a reaction having a high score causes atom graph edges corresponding to the reaction to receive a low weight, increasing chances that shortest paths visit its edges, and finally, that the reaction appears in result pathways.
