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question consider the tree shown below with root 0a what is the level of v8b what is the level of v0c what is the
question consider the tree shown below with root aa what is the level of nb what is the level of ac what is the height
question let r be a relation on a set a with n elements if there are k nonzero entries in mr the matrix representing r
question draw the directed graph representing each of the relationslist the ordered pairs in the relations on 1 2 3 4
question determine whether the relations represented by the matrices in exercise are reflexive irreflexive symmetric
question list the ordered pairs in the relations on 1 2 3 corresponding to these matrices where the rows and columns
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question construct the table obtained by applying the join operator j2 to the relations in tables 9 and
question prove that every nontrivial tree has at least two vertices of degree 1 by filling in the details and
question a in a simple graph must every vertex have degree that is less than the number of vertices in the graph whyb
question suppose that in a group of five people a bc d and e the following pairs of people are acquainted with each
question if graphs are allowed to have an infinite number of vertices and edges then lemma is false give a counter
question find all terminal vertices and all internal vertices for the following
question in each either draw a graph with the specified properties or explain why no such graph existssimple graph with
question let r be the relation on the set of people with doctorates such thata b isin r if and only if a was the thesis
question a how many relations are there on the set a b c db how many relations are there on the set a b c d that
question let s be a set with n elements and let a and b be distinct elements of s how many relations r are there on s
question how many relations are there on a set with n elements that area symmetricb ant symmetricc asymmetricd
question suppose that the function f from a to b is a one-toone correspondence let r be the relation that equals the
question how many different relations are there from a set with m elements to a set with n elementslet r be a relation
question which relations in exercise are irreflexiveexercise determine whether the relation r on the set of all people