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determine whether the directed graph shown has an euler circuit construct an euler circuit if one exists if no euler
for each of these graphs determinei whether diracs theorem can be used to show that the graph has a hamilton circuitii
does the graph in exercise 30 have a hamilton path if so find such a path if it does not give an argument to show why
extend dijkstras algorithm for finding the length of a shortest path between two vertices in a weighted simple
1 two particles have equal masses of 50 g each and opposite charges of 40 x 10-5 c and -40 x 10-5c they are released
a define a hamilton circuit in a simple graphb give some properties of a simple graph that imply that it does not have
a define an euler circuit and an euler path in an undirected graphb describe the famous koumlnigsberg bridge problem
explain what the clustering coefficient measures in each of these graphsa the hollywood graphb the graph of facebook
we say that three vertices u v and w of a simple graph g form a triangle if there are edges connecting all three pairs
how many nonisomorphic simple connected graphs with five vertices are therea with no vertex of degree more than twob
we consider a puzzle posed by petkoviacutec in pe09 based on a problem in avch80 suppose that king arthur has gathered
let g be a simple graph with n vertices the bandwidth of g denoted by bg is the minimum over all permutations a1 a2an
find the shortest path between the vertices a and z that passes through the vertex f in the weighted graph in exercise
suppose that to generate a random simple graph with n vertices we first choose a real number p with 0 le p le 1 for
given the list of edges and weights of these edges of a weighted connected simple graph and two vertices in this graph
given the vertex pairs associated to the edges of a multigraph determine whether it has an euler circuit and if not
given an adjacency matrix of a graph and a positive integer n find the number of paths of length n between two vertices
given a positive integer n generate a simple graph with n vertices by producing an adjacency matrix for the graph so
given the vertex pairs associated to the edges of an undirected graph and the number of times each edge appears
given the vertex pairs associated to the edges of a graph construct an adjacency matrix for the graph produce a version
given the ordered pairs of vertices associated to the edges of a directed graph determine the in-degree and outdegree
determine whether each of the graphs you generated in exercise 4 of this set is planar if you can determine the
determine whether each of the graphs you generated in exercise 4 of this set is connected if a graph is not connected
generate at random simple graphs with 10 vertices stop when you have constructed one with an euler circuit display an