Explore Flipsnack. Transform boring PDFs into engaging digital flipbooks. Share, engage, and track performance in the same platform.
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Here are eight reasons why you should consider choosing interactive, digital flipbooks instead of boring and static PDFs. Check them out!
Spanning Trees Trees are everywhere. In fact, every connected graph G = (V, E) contains a spanning tree T = (V, E') as a subgraph. (Note that original graph G and the spanning tree T have the same set of vertices.) For example, here is a connected graph with a spanning tree highlighted. Theorem 2. Every connected graph G = (V, E) contains a spanning tree. Tree Variations Trees come up often in computer science. For example, information is often stored in tree- like data structures and the execution of many recursive programs can be regarded as a traversal of a tree. There are many varieties of trees. For example, a rooted tree is a tree with one vertex identified as the root . Let u—v be an edge in a rooted tree such that u is closer to the root than v. Then u is the parent of v, and v is a child of u. E C B F A D In the tree above, suppose that we regard vertex A as the root. Then E and F are the children of B, and A is the parent of B, C, and D. A binary tree is a rooted tree in which every vertex has at most two children. Here is an example, where the topmost vertex is the root.
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