Language and properties of graphs

Language and properties of graphs Quiz

Spec DA1–DA2 · AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. A vertex has one loop and one other edge. What is its degree?

    • A. 11
    • B. 22
    • C. 33
    • D. 44
  2. 2. A connected graph has four vertices of odd degree. Which statement must be true?

    • A. It is Eulerian
    • B. It is semi-Eulerian
    • C. It is Hamiltonian
    • D. It is neither Eulerian nor semi-Eulerian
  3. 3. A graph has 99 edges. What is the sum of the degrees of its vertices?

    • A. 99
    • B. 1818
    • C. 2727
    • D. 8181
  4. 4. What is a walk with no repeated edge called?

    • A. A trail
    • B. A cycle
    • C. A path
    • D. A subdivision
  5. 5. An edge is subdivided once. How do the numbers of vertices and edges change?

    • A. +1+1 vertex, +0+0 edges
    • B. +0+0 vertices, +1+1 edge
    • C. +2+2 vertices, +1+1 edge
    • D. +1+1 vertex, +1+1 edge

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