From 0 to 1 Data Structures & Algorithms in Java - The Directed And Undirected Graph

The video tutorial introduces graph theory concepts, focusing on undirected and directed graphs. It explains key terms like vertices, edges, adjacency, and degree. The tutorial covers paths, cycles, and the properties of acyclic and connected graphs. It also discusses trees, forests, and the significance of directed acyclic graphs (DAGs) in graph theory and algorithms.

What is the term used to describe nodes that are directly connected by an edge in an undirected graph?

• Incident nodes

• Connected nodes

• Adjacent nodes

• Isolated nodes

In graph theory, what does the degree of a node represent?

• The number of cycles it is part of

• The number of edges connected to it

• The number of paths passing through it

• The number of vertices in the graph

What is a path in a graph?

• A series of edges connecting two nodes

• A single edge connecting two nodes

• A loop that starts and ends at the same node

• A set of disconnected nodes

What defines a cycle in a graph?

• A single edge connecting two nodes

• A set of nodes with no edges

• A path that starts and ends at the same node

• A path that connects all nodes

What is a connected graph?

• A graph with only one node

• A graph where all nodes are connected by paths

• A graph with no edges

• A graph with multiple disconnected components

What is a forest in graph theory?

• A graph with only one node

• A disjoint set of trees

• A graph with cycles

• A single tree

What distinguishes a directed graph from an undirected graph?

• The number of nodes

• The direction of edges

• The number of edges

• The presence of cycles

In a directed graph, what must a path follow?

• The number of nodes

• The shortest route

• The direction of the arrows

• The longest route

What is a directed acyclic graph (DAG)?

• A directed graph with cycles

• An undirected graph with no cycles

• A directed graph with no cycles

• An undirected graph with cycles

Why are directed acyclic graphs (DAGs) important in interviews?

• They are the simplest form of graphs

• They are rarely used in real-world applications

• They often form the basis of complex problems

• They are easy to understand