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Gunit gv gvlld gwars gameover gard gastn gouni gpa gshdsl gwiz g//g g/ator g/b g/bhphr g/c g/d g/d/1 g/day g/e g/ed g/f g/g g/go g/i g/iwi g/l g/m g/m3 g/mi g/ms g/o g/p g/s g/sidbad g/t g/vlld g/w g/wp gdamm gf gkom gmotw gup g1 g1/ag g10 g100 g11n g129a g15 g17 g185 g19 g1934 g1g1 g1m g1o g1p g1p0 g1s g2 g2A subgraph of G is a graph all of whose vertices belong to V(G) and all of whose edges belong to E(G) For example, if G is the connected graph below where V(G) = {u, v, w, z} and E(G) = (uv, uw, vv, vw, wz, wz} then the following four graphs are subgraphs of G Degree (or Valency) Let G be a graph with loops, and let v be a vertex of GIf f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) = g(g(x)) Find each derivative, if it exists If it does not exist, explain why (If an answer does not exist, enter DNE) 10 8 2 2 6 8 10 (a) u'(1) = O It does exist

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A multigraph is a pair G= (V;E) where V is a nite set and Eis a multiset of multigraph elements from V 1 V 2, ie, we also allow loops and multiedges A hypergraph is a pair H= (X;E) where Xis a nite set and E 2f;g hypergraph De nition For two graphs G 1 = (V 1;E 1) and G 2 = (V 2;E 2) we say that G 1 and G 2 are isomorphic, denoted by G8 G T O Y G W T b L T G X U X b 6DQL)RUFH $ 5 ) * o *Title Guookpdf Author Janet K Allen Created Date PM

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