Undergrad What is a Single Component Network?

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A single component network consists of n nodes that are all interconnected, meaning there is a path between any two nodes within the network. Being in a single component indicates that all nodes are reachable from one another without any disconnections. The discussion emphasizes understanding the definitions of a network, simple network, and component, often found in textbooks. A component is defined as the set of nodes connected by paths, forming a cohesive unit. This understanding clarifies the concept of connectivity within network structures.
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What does it mean if a simple network consists of n nodes in a single component? More specifically, what is does it mean to be in a single component?
 
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tbirgy said:
What does it mean if a simple network consists of n nodes in a single component? More specifically, what is does it mean to be in a single component?
What's the context for this question? What kind of network are you asking about? If this is presented in a book or textbook, what definitions are there for a network, simple network, and a component of the network?
 
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I assume that a component is the set of all nodes which are connected by a path, a connection component.
 
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I was able to figure out what it means. Thank you for your help!
 
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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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