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GRAPH

GRAPH
The history of graphs dates back to the late 18th century, with the pioneering work of Swiss mathematician Leonhard Euler. In 1736, Euler solved the famous Seven Bridges of Königsberg problem, laying the foundation for graph theory.

However, the formalization of graphs as mathematical objects began in the 19th century. August Ferdinand Möbius and Carl Friedrich Gauss made significant contributions to the study of graphs, particularly in the context of topological problems.

The term "graph" itself was coined by mathematician J.J. Sylvester in 1878, referring to diagrams representing mathematical functions. Later, in the early 20th century, Hungarian mathematician Dénes Kőnig introduced the concept of bipartite graphs, further expanding the scope of graph theory.

Graph theory gained prominence in the mid-20th century with the advent of computer science. Mathematicians and computer scientists realized the utility of graphs in modeling various real-world problems, leading to the development of algorithms for graph traversal, connectivity, and optimization.

In the 1950s and 1960s, graph theory found applications in diverse fields such as operations research, telecommunications, and social network analysis. Notable researchers like Claude Shannon and Paul Erdős made significant contributions to the field during this period.

The advent of the internet in the late 20th century further propelled the study of graphs, as networks could be naturally represented as graphs. Search algorithms like Google's PageRank algorithm, based on graph theory principles, revolutionized information retrieval on the web.

Today, graphs are ubiquitous in various domains, including computer science, mathematics, social sciences, biology, and transportation engineering.

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