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This chapter covers various operations on graphs, including the definition and properties of subgraphs, induced subgraphs, and data structures for graph representation. Additionally, it discusses the concepts of graph isomorphism and connectivity, as well as critical vertices and edges in graphs. The chapter highlights the importance of these concepts in understanding the structural properties of graphs and their applications.
Chapter 2710 sections
This chapter covers various operations on graphs, including the definition and properties of subgraphs, induced subgraphs, and data structures for graph representation. Additionally, it discusses the concepts of graph isomorphism and connectivity, as well as critical vertices and edges in graphs. The chapter highlights the importance of these concepts in understanding the structural properties of graphs and their applications.
Subgraphs are formed by taking a subset of the vertices and edges of a given graph.
Induced subgraphs focus only on selected vertices and the edges between them.
Graph isomorphism refers to the structural similarity of two graphs despite possible differences in their representations.
A graph formed from a subset of the vertices and edges of another graph.
A subgraph formed by taking a subset of vertices and including all edges connecting pairs of vertices in that subset.
A relation between two graphs that indicates they have the same structure; they can be transformed into each other via a bijection between their vertex sets.
A property of a graph that indicates whether there exists a path between every pair of distinct vertices.
A vertex whose removal increases the number of connected components in a graph.
An edge whose removal increases the number of connected components in a graph.
Total Questions
2
Estimated Time
4 min
Passing Score
70%
1 more question available