Bipartite Graph Quiz

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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?

A graph where every node is connected to every other node Signup and view all the answers

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

They connect vertices with the same color Signup and view all the answers

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

2 Signup and view all the answers

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

A complete graph with an even number of vertices Signup and view all the answers

What is the chromatic number of a bipartite graph?

2 Signup and view all the answers

What is the Peterson graph?

A cubic graph with 10 vertices and 15 edges Signup and view all the answers

What is the chromatic number of the Peterson graph?

3 Signup and view all the answers

How many perfect matchings does the Peterson graph have?

3 Signup and view all the answers

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

It is a Hamiltonian graph Signup and view all the answers

Bipartite Graph Quiz

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