Subgraphs preserve properties graphs from "summary" of Introduction to Graph Theory by Douglas Brent West
When investigating a graph, one common approach is to examine its subgraphs. Subgraphs are essentially smaller graphs that can be extracted from the larger graph by removing some of its vertices and edges. One interesting property of subgraphs is that they can help preserve certain characteristics or properties of the original graph. For example, if we are interested in understanding a particular property of a graph, we can often study a subgraph of the original graph to gain insights. This is because subgraphs inherit many of the same properties as the original gra...
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