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QUESTION 5

Construct a soccer matclJ graph . Te'am USA won over Japan, Germany won over France, Brazil lost to USA, Japan lost to Germany, Brazil lost to France,

De fi ne G, V and E in your splution. Attach Fil e

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QUESTION

(a) Is th is graph a bit.arm e graph ? Brief ly exp lain. (b) Yo u are allowed to addl de/,ete edges, to produce a bipartite graph. Define th e bipartitie grap6 y~ ur produc ed.

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(a) Determine 'whether the given graph ha~ an Euler 'circu/t. Wiefly exp.la in. Construct: such a circuit when one exists. , ,,, ' ' , .

I, ' (bJ Jf no Euler circuit exists, determine whether ~he 15rapH has an Euler path and construct such a path if one exists. 11

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