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question 1 the complete bipartite graph kmn a has mn vertices prove itb has m middot n edges prove it2 how many
question consider a cube and make a graph from it by assigning a vertex to each corner of the cube and an edge to each
question 1 perhaps keeping pigeons in mind show that if a simple graph has at least two vertices then two of its
question 1 consider the cartesian product atimesb where ab are finite nonempty sets each with cardinality greater than
question 1 draw the seven non isomorphic sub graphs of k3 and the 17 distinct sub graphs of k32 are the three graphs
question 1 try these three minisa draw the union of k4 and c3b how many vertices and how many edges does the petersen
question are the two graphs shown in figure isomorphic if so exhibit the isomorphism if not find a property that should
question if you stick a vertex in the middle of an n - 1-vertex cycle cn-1 where n is at least three and connect it to
question 1 how does fn compare to pn2 forget the previous question instead prove that f is a bijection recall that this
question 1 draw p2 cupc32 what are k5 vk5macr e and k5 note that the symmetry of k5 means that it doesnt matter which
question 1 model this situation as a graph what do the vertices represent fill in the blank two vertices are adjacent
question generalize the party to having 2n guests each of whom is friends with at least n other guests describe your
question find alla cycles that are also complete graphsb cycles that are also wheelsc wheels that are also complete
question 1 let s s1 s2 sn how many functions are there with domain s and target z2 of those functions how many are
question label the vertices of the graphs in figure and define a function between them that shows the graphs are
question 1 there is at least one bipartite graph pictured in section 33 identify one is it complete2 draw k7 c8 and
question 1 find the longest possible path in the middle graph of figure - three graphs and in the left-hand graph of
question 1 look through the graphs pictured so far identify one that is simple and one that is not simple2 for each
question 1 without making lists or drawing pictures how many functions are there from a two-element set to a
question 1 list the elements of n isin n n2 42 an excerpt from a 2010 blue cross blue shield survey do not include
question another excerpt from a 2010 blue cross blue shield survey in the last 12 months how often did your doctor or
question 1 prove that if there are ten ducks paddling in four ponds then some pond must contain at least three paddling
question 1 compare the result of this truth table to your original idea if they agree explain how they are compatible
question 1 list all the functions from ab to cde heres a start on that listf1a c f1b df2a d f2b dhow many functions
question 1 decide whether or not it is true that atimesbcupctimesdacupctimesbcupd if true give a proof if false give a