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  • Perplex
    IB Math AIHL
    /
    Graph Theory
    /

    Problem Bank

    [Maximum mark: 5]

    The degrees of various vertices in a graph, ​G, are given by ​deg(A)=1, ​deg(B)=2, ​deg(C)=3, ​deg(D)=5, ​deg(E)=x.

    1. Show that ​x​ is odd.

      [2]

      To earn a crown, get your answer ready before you reveal the options!

    Suppose that the total number of edges is ​10.

    1. Find ​x.

      [3]

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