In graph theory, the link complement of a given graph is a graph that contains all the edges not present in the original graph, while sharing the same set of vertices. This operation is useful in network analysis and theoretical computer science for exploring properties like connectivity and independence in complementary structures.

Link Complement

Graph theory is a branch of mathematics that studies the properties and applications of graphs, which are structures made up of nodes (vertices) connected by edges. It is fundamental in computer science, network analysis, and combinatorics for solving problems related to connectivity, flow, and optimization.

graph theory

link complement

given graph

original graph

set of vertices

Network analysis is a method used to study the structure and dynamics of complex networks by examining the relationships between interconnected entities. It is widely applied in various fields such as sociology, biology, and computer science to uncover patterns, optimize systems, and predict behaviors.

network analysis

Theoretical Computer Science is a branch of computer science that deals with the abstract and mathematical aspects of computing, focusing on understanding the fundamental capabilities and limitations of computers. It provides the formal underpinnings for algorithms, computational models, and complexity, influencing practical applications by guiding the development of efficient algorithms and computational methods.

Relevant Degrees

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