Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Matrices
  • Complex Numbers
  • Financial Mathematics
  • Cartesian plane & lines
  • Function Theory
  • Modelling
  • Transformations & asymptotes
  • 2D & 3D Geometry
  • Voronoi Diagrams
  • Trig equations & identities
  • Vectors
  • Graph Theory
  • Probability
  • Descriptive Statistics
  • Bivariate Statistics
  • Distributions & Random Variables
  • Inference & Hypotheses
  • Differentiation
  • Integration
  • Differential Equations
Other
  • Review Videos
  • Formula Booklet
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AIHL
    /
    Graph Theory
    /

    Problem Bank

    [Maximum mark: 8]
    <p>A graph with 5 vertices and 8 edges.</p><p>Vertices: A, B, C, D, E.</p><p>Edges:</p><p>- An undirected edge between A and D with weight 1.</p><p>- An undirected edge between A and C with weight 1.</p><p>- An undirected edge between C and E with weight 3.</p><p>- An undirected edge between E and B with weight 1.</p><p>- An undirected edge between B and D with weight 1.</p><p>- An undirected edge between D and C with weight 1.</p><p>- An undirected edge between E and D with weight 1.</p><p>- An undirected edge between A and B with weight 3.</p>

    In Boston, times in minutes to get between various historical sites are given by the graph above.

    1. State with proof whether the graph contains any Eulerian circuits.

      [2]

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

    2. Determine with proof whether the graph contains an Eulerian path.

      [2]

    A tour of Boston would like to take all roads between historical sites.

    1. Find the minimum time in which they can accomplish this.

      [4]

    Ask Plex AI about this problem

    Get hints, ask questions, and work through this problem step by step

    I'm Plex, here to help with problems on this worksheet!