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strong domination, mixed domination,domination cliques

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Q: Types of domination in graph theory?
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What is the dominating set problem and how does it relate to graph theory?

The dominating set problem in graph theory involves finding the smallest set of vertices in a graph such that every other vertex is either in the set or adjacent to a vertex in the set. This problem is important in graph theory as it helps in understanding the concept of domination and connectivity within a graph.


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Journal of Graph Theory was created in 1977.


What are the different types of edges found in graph theory and how do they impact the connectivity of a graph?

In graph theory, the different types of edges are directed edges and undirected edges. Directed edges have a specific direction, while undirected edges do not. The type of edges in a graph impacts the connectivity by determining how nodes are connected and how information flows between them. Directed edges create a one-way connection between nodes, while undirected edges allow for two-way connections. This affects the paths that can be taken between nodes and the overall structure of the graph.


What is a circuit in graph theory?

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What is a min cut and how does it relate to graph theory?

A min cut in graph theory is the smallest number of edges that need to be removed to disconnect a graph. It is important in graph theory because it helps identify the most crucial connections in a network. By finding the min cut, we can understand the resilience and connectivity of a graph.


How many nodes are in a family branch tree in graph theory?

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What is the clique problem and how does it relate to graph theory?

The clique problem is a computational problem in graph theory where the goal is to find a subset of vertices in a graph where every pair of vertices is connected by an edge. This subset is called a clique. In graph theory, cliques are important because they help us understand the structure and connectivity of a graph. The clique problem is a fundamental problem in graph theory and has applications in various fields such as computer science, social networks, and biology.


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