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imagine a number line with the integers marked your old pal grover starts at 0 and once per second takes a step to the
1 show that a graph is connected if and only if it has a spanning tree2 how many different binary search trees can be
1 now suppose that the information given in the previous problem is listed in preference order ie the book the student
after example 1071 we examine the case of a class on the reality of ducks below are listed the students and the books
1 create a reasonable definition for a trinary tree2 create a binary decision tree that reflects the way a coin-sorting
find a minimum-weight spanning tree of the graph given in example 1041 first use any method you like then do it using
1 in the start-big minimum-weight spanning tree algorithm we removed edges from cycles we could have instead chosen to
1 we claimed that the column-position list 32562718 had two coins on the same diagonal which two and why2 why is this
1 list at least two criteria that when present prevent a tree from having a perfect matching2 does every bipartite
create a binary decision tree that determines which of the current us coins penny nickel dime quarter half-dollar and
1 placing baa at the root draw a binary search tree for the micro-dictionary aaaabbaababa2 what kind of binary search
in example 1043 at what stage could one have made a choice of edge that would have resulted in a different spanning
1 suppose that a binary decision tree for set membership is labeled consistently ie left indicates an element is in the
1 might the graph in figure 1115 be planar2 the goal of this problem is to use eulers formula to list all possible
1 compute the thickness of k332 compute the thickness of the petersen graph3 give an example of a 4-regular planar
1 prove that for a planar graph with k components vg-egfg 1k2 prove that the petersen graph shown in figure 116 is not
1 find two different planar drawings of the left-hand graph of figure 112 each of which has a face of size 6 how many
1 draw six different graphs each with a different number of vertices check to see whether each graph has an euler
1 conjecture a necessary condition for a graph to have an euler circuit ie if a graph has an euler circuit this
youd like to download the six most recent episodes of the television show exile on eggs isle so the hosting server must
1 are there any wheel graphs that have euler traversals2 look again at the graph shown in figure 1115 on page 330 does
igs an international group of scientists proposes that a network of canals on mars be dredged in preparation for
you know how there are fire hydrants on most blocks they need to be connected to a water-pumping station in order to
challenge another game was marketed with the board for the icosian game as in figure 1222 but laid out over the head of
find the smallest number of colors needed to properly vertex-color each of the above graphs note that the vertices are