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10 Cards in this Set

  • Front
  • Back

In a directed graph (digraph), each edge has a specific direction from one vertex to another.

True

A tree is a connected graph without any cycles.

True

A bipartite graph can contain odd-length cycles.

False

In an undirected graph, every vertex must have an even degree for the graph to have Eulerian circuit.

True

A Hamiltonian path is a path in a graph that visits every vertex exactly once and returns to the starting vertex.

False

Graph theory has no practical applications outside of mathematics and computer science.

False

A connected graph with n vertices and n-1 edges is a tree.

True

In a directed graph, the in-degree of a vertex is the number of edges leaving that vertex.

False

A bipartite graph can have a Hamiltonian cycle.

False

The degree of a vertex in a graph is the number of edges incident to that vertex.

True