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what do the in-degree and the out-degree of a vertex in a telephone call graph as described in example 4 of section 101
describe the adjacency matrix of a graph with n connected components when the vertices of the graph are listed so that
use a graph model and a path in your graph as in exercise 64 to solve the jealous husbands problem two married couples
in an old puzzle attributed to alcuin ofyork 735-804 a farmer needs to carry a wolf a goat and a cabbage across a river
a diagnostic message can be sent out over a computer network to perform tests over all links and in all devices what
explain how to find a path with the least number of edges between two vertices in an undirected graph by considering it
give a big-o estimate of the number of operations comparisons and additions used by floyds algorithm to determine the
solve the traveling salesperson problem for this graph by finding the total weight of all hamilton circuits and
find a route with the least total airfare that visits each of the cities in this graph where the weight on an edge is
exercise 1 induction proof and recursion1 let n 0 1 2 be the set of natural numbers access to data structures is
the longest path problem in a weighted directed graph with no simple circuits asks for a path in this graph such that
suppose that a connected planar graph has 30 edges if a planar representation of this graph divides the plane into 20
suppose that a connected planar graph has eight vertices each of degree three into how many regions is the plane
what is the least number of colors needed to color a map of the united states do not consider adjacent states that meet
a what is a bipartite graphb which of the graphs kn cn and wn are bipartitec how can you determine whether an
frequencies for mobile radio or cellular telephones are assigned by zones each zone is assigned a set of frequencies to
a what does it mean for two simple graphs to be isomorphicb what is meant by an invariant with respect to isomorphism
a what does it mean for a graph to be connectedb what are the connected components of a
a explain how an adjacency matrix can be used to represent a graphb how can adjacency matrices be used to determine
a define a hamilton circuit in a simple graphb give some properties of a simple graph that imply that it does not have
a describe dijkstras algorithm for finding the shortest path in a weighted graph between two verticesb draw a weighted
a what is eulers formula for connected planar graphsb how can eulers formula for planar graphs be used to show that a
a define the chromatic number of a graphb what is the chromatic number of the graph kn when n is a positive integerc
given two chickens in a flock one of them is dominant this defines the pecking order of the flock how can a tournament