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This guarantees that every graph has an even subgraph that’s at least half as big as the original. But how big an odd subgraph can be has been an open research question in graph theory for over 60 ...
Work disproving a 1995 theorem in graph theory has earned UBC mathematician Dr. Stephanie van Willigenburg and colleagues the 2023 David P. Robbins Prize. In its simplest form, graph theory involves ...
Long monochromatic paths in random graphs presented by Andrzej Dudek, Ph.D., Department of Mathematics, Western Michigan University Abstract: Recall that the size-Ramsey number of F, r^ (F, r), is the ...
The field of graph theory has been around since 1736, when Leonhard Euler published an article on the subject of the Seven Bridges of Königsberg (in Prussia, today’s Kaliningrad in Russia).
The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.
Graph theory isn’t enough. The mathematical language for talking about connections, which usually depends on networks—vertices (dots) and edges (lines connecting them)—has been an invaluable ...
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