Well, if I remember my graph theory well enough, if A is the adjacency matrix of the graph, each entry of A^n is the number of ways to get between the corresponding nodes in n steps or less.

from Hamiltonian cycles to Eulerian cycles. Now imagine an ant that follows a different strategy: instead of visiting every node of the graph (as before), it now attempts to visit every edge of ...

These issues involve dividing a graph’s vertex set into distinct subsets that optimise ... Furthermore, studies focusing on cycle isolation have provided valuable insights into how removing ...