A well-studied problem in fault diagnosis is to identify the set of all good processors in a given set {p1, p2, . . . , pn} of processors via asking some processors pi to test whet...
Let H be a multigraph and G a graph containing a subgraph isomorphic to a subdivision of H, with S ⊂ V (G) (the ground set) the image of V (H) under the isomorphism. We consider...
Bayesian networks, equivalently graphical Markov models determined by acyclic digraphs or ADGs (also called directed acyclic graphs or dags), have proved to be both effective and ...
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
Abstract. The importance of a node in a directed graph can be measured by its PageRank. The PageRank of a node is used in a number of application contexts