Bipartite Graph Quiz
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Questions and Answers

What is a common application of bipartite graphs?

  • Modeling relationships between two different types of entities (correct)
  • Scheduling tasks in a single-processor system
  • Finding the shortest path in a weighted graph
  • Optimizing a supply chain network

    • What is a bipartite graph?

  • A graph where the nodes can be partitioned into two sets such that no two nodes in the same set are adjacent (correct)
  • A graph with all nodes having an odd degree
  • A graph where all nodes have the same degree
  • A graph with a single cycle

    • How can you tell if a graph is bipartite?

  • By performing a depth-first search
  • By checking if it has an odd cycle (correct)
  • By checking if it has any cycles
  • By checking if it has an Eulerian path

    • What is a complete bipartite graph?

    <p>A graph where every node is connected to every other node</p> Signup and view all the answers

    In a bipartite graph, what is the characteristic of the edges between vertices in the same set?

    <p>They connect vertices with the same color</p> Signup and view all the answers

    What is the minimum number of edges in a non-empty bipartite graph?

    <p>2</p> Signup and view all the answers

    Which of the following graphs can be considered as a bipartite graph?

    <p>A complete graph with an even number of vertices</p> Signup and view all the answers

    What is the chromatic number of a bipartite graph?

    <p>2</p> Signup and view all the answers

    What is the Peterson graph?

    <p>A cubic graph with 10 vertices and 15 edges</p> Signup and view all the answers

    What is the chromatic number of the Peterson graph?

    <p>3</p> Signup and view all the answers

    How many perfect matchings does the Peterson graph have?

    <p>3</p> Signup and view all the answers

    Which of the following statements about the Peterson graph is true?

    <p>It is a Hamiltonian graph</p> Signup and view all the answers

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