# How to Use graph theory in a Sentence

## graph theory

• The number comes from a simple game of trees—meaning the charts used in graph theory.
Jay Bennett, Popular Mechanics, 20 Oct. 2017
• That’s the case for a recent breakthrough in graph theory.
Ben Brubaker, Quanta Magazine, 3 Apr. 2023
• But in the world of graph theory, the conjecture predicts that the tiling always works.
Quanta Magazine, 19 Feb. 2020
• The game is played on the figure shown, which consists of six points, each of which is shown joined to every other by black lines (called edges in graph theory).
Quanta Magazine, 8 Apr. 2022
• But the kind of replacement selection described in the graph theory model is alive and well, even in the modern world.
Quanta Magazine, 15 Aug. 2018
• The problem was well known in graph theory circles and attracted many attempts to solve it, none of which were successful.
Quanta Magazine, 5 Apr. 2021
• And to model what’s going on inside a pane of glass, the DeepMind researchers turned to a neural network using graph theory.
Caroline Delbert, Popular Mechanics, 28 July 2020
• But a graph in graph theory is a completely abstract notion.
Caroline Delbert, Popular Mechanics, 2 May 2023
• The key turned out to be a technique that originated in an entirely different branch of graph theory.
Ben Brubaker, Quanta Magazine, 18 Jan. 2023
• And a column gave an introduction to graph theory through an ice-breaking party game.
Konstantin Kakaes, Quanta Magazine, 22 Dec. 2022
• This is especially true in graph theory, a field that studies networks of objects and the connections between them.
Patrick Honner, Quanta Magazine, 21 July 2023
• To solve the bridges of Königsberg problem, Euler turned islands and bridges into vertices and edges, bringing to life the rich fields of graph theory and network theory, with their many applications.
Quanta Magazine, 18 Nov. 2020
• To find more generalizable strategies, Nowak turned to graph theory.
John Rennie, WIRED, 1 July 2018
• To solve all the higher dimensional cases of equiangular lines, the researchers used something called spectral graph theory.
Caroline Delbert, Popular Mechanics, 16 May 2022
• These kinds of random strategies have been used to great effect in mathematics, particularly in graph theory.
Quanta Magazine, 2 June 2022
• The global consequences of local restrictions is a common theme in graph theory, said Timothy Gowers of the University of Cambridge.
Quanta Magazine, 26 Apr. 2021
• Also early in his life, Lovász met the influential Hungarian mathematician Paul Erdős, who helped introduce him to the field of graph theory.
Quanta Magazine, 17 Mar. 2021
• Using spectral graph theory, mathematicians have solved a decades-old problem.
Caroline Delbert, Popular Mechanics, 16 May 2022
• The researchers used a statistical mechanics approach called graph theory to understand the consequences of vessels that form networks with vertices with exactly three edges, which had been previously observed in the lab.
Emily Singer, Scientific American, 20 Aug. 2013
• The reports themselves—on topics ranging from graph theory to user-interface design—suggested the dimensions of the space; when multiple reports used similar groups of words, their dimensions could be combined.
James Somers, The New Yorker, 29 Nov. 2021
• As a result, this new algorithm has revived interest in combinatorial approaches to other problems in graph theory.
Ben Brubaker, Quanta Magazine, 18 Jan. 2023
• Ultimately, the researchers used mathematical graph theory to organize and verify the information, reports Laura Geggel for Live Science.
Julissa Treviño, Smithsonian, 5 Mar. 2018
• Mathematicians are currently learning which rules of graph theory also apply for higher-order interactions, suggesting new areas of exploration.
Quanta Magazine, 19 Aug. 2021
• Basic Statistical Probability Concepts To fully understand graph theory, and the different methods summarized above, all executives should have a basic foundation in statistical concepts, in particular probability.
Cindy Gordon, Forbes, 18 Mar. 2021
• Data science is another tool that encompasses AI plus statistical analysis, mathematical optimization, simulation, search and matching algorithms, graph theory and combinatorics.
Sushil Verma, Forbes, 4 Jan. 2022
• In evolutionary graph theory, individual organisms occupy every vertex.
John Rennie, WIRED, 1 July 2018

Some of these examples are programmatically compiled from various online sources to illustrate current usage of the word 'graph theory.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

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