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question explain how graph theory can help uncover networks of criminals or terrorists by studying relevant social and
question describe algorithms for drawing a graph on paper or on a display given the vertices and edges of the graph
question explain what community structure is in a graph representing a network such as a social network a computer
question in modeling very large scale integration vlsi graphs are sometimes embedded in a book with the vertices on the
question describe the role computers played in the proof of the four color theorem how can we be sure that a proof that
question describe and compare several different algorithms for coloring a graph in terms of whether they produce a
question given the list of edges and weights of these edges of a weighted connected simple graph and two vertices in
question find the shortest path a traveling salesperson can take to visit each of the capitals of the 50 states in the
question estimate the probability that a randomly generated simple graph with n vertices is connected for each positive
question given the ordered pairs of vertices associated to the edges of a directed multigraph construct an euler path
question given the vertex pairs associated to the edges of a multigraph determine whether it has an euler circuit and
question given the list of edges of a simple graph determine whether it is connected and find the number of connected
question given an adjacency matrix of a graph and a positive integer n find the number of paths of length n between two
question given a positive integer n generate a simple directed graph with n vertices by producing an adjacency matrix
question given a positive integer n generate a simple graph with n vertices by producing an adjacency matrix for the
question given an incidence matrix of an undirected graph list its edges and give the number of times each edge
question given the vertex pairs associated to the edges of an undirected graph and the number of times each edge
question given an adjacency matrix of a graph list the edges of this graph and give the number of times each edge
question given the vertex pairs associated to the edges of a graph construct an adjacency matrix for the graph produce
question given the ordered pairs of vertices associated to the edges of a directed graph determine the in-degree and
question for each of these properties determine whether it is monotone increasing and determine whether it is monotone
question suppose that to generate a random simple graph with n vertices we first choose a real number p with 0 le p le
question devise an algorithm for finding the shortest path between two vertices in a simple connected weighted graph
question show that if g is a simple graph with at least 11 vertices then either g or g the complement of g is
question we consider a puzzle posed by petkoviacutec in pe09 based on a problem in avch80 suppose that king arthur has