31. One needs a distinct adjacency matrix for each possible input symbol, since each input symbol can result in a different transition. 32. A "'forest of stars "'is a set of star worlds whose adjacency matrix is a tree. 33. I also found a program called yEd but that doesn't seem to allow me to enter in an adjacency matrix . 34. As shown by, the problem of minimum weight perfect matching is converted to finding minors in the adjacency matrix of a graph. 35. Upon squaring of the adjacency matrix of the previously mentioned tree, we can observe that this theorem does in fact hold true. 36. Why I asked : the application that interests me at the moment is deriving topological coordinates from a graph's adjacency matrix . 37. Let A be an adjacency matrix of the network and vectors h and a to contain all hubs and authorities scores, respectively. 38. This is usually encoded as the heat kernel of the adjacency matrix of a " k "-nearest neighbor graph. 39. Is there a way to tell if an undirected graph is acyclic ( or cyclic ) based on the properties of its adjacency matrix ? 40. Squaring the adjacency matrix of T should yield an adjacency matrix for a graph which is isomorphic to the graph G which we started with.