# Question: What does the matrix used in the shortest paths

What does the matrix used in the shortest-paths algorithms correspond to in regular matrix multiplication?

## Answer to relevant Questions

A sequence is bitonic if it monotonically increases and then monotonically decreases, or if it can be circularly shifted to monotonically increase and then monotonically decrease. For example the sequences 1, 4, 6, 8, 3, ...Let G = (V, E) be a weighted, directed graph that contains no negative-weight cycles. Let s ¬ V be the source vertex, and let G be initialized by INITIALIZE-SINGLE-SOURCE (G, s). Prove that there exists a sequence of |V | - ...Professor Adam has two children who, unfortunately, dislike each other. The problem is so severe that not only do they refuse to walk to school together, but in fact each one refuses to walk on any block that the other child ...A path cover of a directed graph G = (V, E) is a set P of vertex-disjoint paths such that every vertex in V is included in exactly one path in P. Paths may start and end anywhere, and they may be of any length, including 0. ...Argue that in a breadth-first search, the value d[u] assigned to a vertex u is independent of the order in which the vertices in each adjacency list are given. Using Figure 22.3 as an example, show that the breadth-first ...Post your question