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question given two chickens in a flock one of them is dominant this defines the pecking order of the flock how can a
question an orientation of an undirected simple graph is an assignment of directions to its edges such that the
question how many nonisomorphic simple connected graphs with five vertices are therea with no vertex of degree more
question show that each of these properties is an invariant that isomorphic simple graphs either both have or both do
question explain how the concept of a minimum dominating set applies to the problem of determining the minimum number
question a dominating set of vertices in a simple graph is a set of vertices such that every other vertex is adjacent
question for each of the graphs in exercise explain whether you would expect its clustering coefficient to be closer to
question explain what the clustering coefficient measures in each of these graphsa the hollywood graphb the graph of
question determine whether two given graphs are isomorphicthe complete m-partite graph kn1n2nm has vertices partitioned
question a define the chromatic number of a graphb what is the chromatic number of the graph kn when n is a positive
question a what is eulers formula for connected planar graphsb how can eulers formula for planar graphs be used to show
question a describe dijkstras algorithm for finding the shortest path in a weighted graph between two verticesb draw a
question a define a hamilton circuit in a simple graphb give some properties of a simple graph that imply that it does
question a define an euler circuit and an euler path in an undirected graphb describe the famous koumlnigsberg bridge
question a explain how an adjacency matrix can be used to represent a graphb how can adjacency matrices be used to
qusetion a what does it mean for a graph to be connectedb what are the connected components of a
question a what does it mean for two simple graphs to be isomorphicb what is meant by an invariant with respect to
question a describe three different methods that can be used to represent a graphb draw a simple graph with at least
question a what is a bipartite graphb which of the graphs kn cn and wn are bipartitec how can you determine whether an
question show that the coloring produced by this algorithm may use more colors than are necessary to color a graph a
question show that if g is a chromatically k-critical graph then the degree of every vertex of g is at least k - 1a
question frequencies for mobile radio or cellular telephones are assigned by zones each zone is assigned a set of