keyword
random walk transition matrix
A random walk transition matrix is a square, row-stochastic matrix that represents the probabilities of moving from one state or node to another in a single step of a random walk on a graph. Typically constructed by normalizing an adjacency matrix with the inverse of the degree matrix, each entry defines the conditional probability of traversing from a designated source node to an adjacent target node. Because its entries represent discrete transition probabilities, all values are non-negative and the elements of each row sum to one. Raising this matrix to higher powers yields multi-step transition probabilities, which effectively capture long-range structural connectivity, high-order neighborhood relationships, and global topological affinities across a network.
1 item

