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Other types of graphs Null Graph: A graph that does not have edges. Simple graph: A graph that is undirected and does not have any loops or multiple edges. Multigraph: A graph with multiple edges between the same set of vertices. Connected graph: A graph where any two vertices are connected by a path.
Dijkstra) solves the problem of finding the shortest path from a point in a graph (the source) to a destination. It turns out that one can find the shortest paths from a given source to all points in a graph in the same time, hence this problem is sometimes called the single-source shortest paths problem.
In image compression, Huffman coding is typically applied after other transformations like Discrete Cosine Transform (DCT) in the case of JPEG compression. After transforming the image data into a frequency domain representation, Huffman coding is used to encode the transformed coefficients efficiently.
There are two methods of compression lossy and lossless. Lossy reduces file size by permanently removing some of the original data. Lossless reduces file size by removing unnecessary metadata.
A transformation in which all distances on the coordinate plane are shortened by multiplying either all x-coordinates (horizontal compression) or all y-coordinates (vertical compression) of a graph by a common factor less than 1.
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State-of-the-art compression methods broadly fall into two categories: (a) sparsification (removing edges) and (b) coarsening (merging vertices). These methods measure spectral similarity between the original graph and a compressed representation in terms of a (inverse) Laplacian quadratic form [12, 13, 14, 15, 16].

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