How to Use graph theory in a Sentence

graph theory

noun

• The number comes from a simple game of trees—meaning the charts used in graph theory.
  — Jay Bennett, Popular Mechanics, 20 Oct. 2017
• But in the world of graph theory, the conjecture predicts that the tiling always works.
  — Quanta Magazine, 19 Feb. 2020
• There is no need to call Will Hunting to solve the graph theory on the chalkboard.
  — Troy Renck, The Denver Post, 28 Dec. 2024
• This isn’t the first time that graph theory and Fourier analysis have met.
  — Leila Sloman, Quanta Magazine, 28 Jan. 2026
• This is a lot of discreet really clever stuff about algebra, about graph theory.
  — Quanta Magazine, 7 Aug. 2025
• Euler’s efforts helped birth graph theory as a new field of mathematics.
  — Pavel Bykov, Forbes.com, 18 Feb. 2026
• And a column gave an introduction to graph theory through an ice-breaking party game.
  — Konstantin Kakaes, Quanta Magazine, 22 Dec. 2022
• The name comes from the field of mathematics (graph theory) that the benchmark draws most heavily from.
  — Margo Anderson, IEEE Spectrum, 28 Dec. 2010
• 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
• 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
• To find more generalizable strategies, Nowak turned to graph theory.
  — John Rennie, WIRED, 1 July 2018
• 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
• One of the central problems in graph theory is finding routes that visit each point in a graph exactly once before returning to their starting point.
  — Quanta Magazine, 7 June 2024
• Using spectral graph theory, mathematicians have solved a decades-old problem.
  — 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
• 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
• 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
• Another piece of their AI puzzle is graph theory – the same kind of math that helps TikTok determine what kind of videos to send you.
  — Alex Knapp, Forbes, 13 Feb. 2024
• That would imply that the graphs each had a very low eigenvalue, finally enabling them to exploit the link between Chowla’s conjecture and graph theory.
  — Leila Sloman, Quanta Magazine, 28 Jan. 2026
• For example, the fields of combinatorics (often described as the science of counting) and graph theory (the science of networks) tend to be highly concrete and visual.
  — Leila Sloman, Quanta Magazine, 25 Mar. 2026
• 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
• Chung is a pioneer in graph theory, or the study of graphs — particularly useful in revealing and exploiting important connections found in data networks.
  — Gary Robbins, San Diego Union-Tribune, 7 June 2024
• 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
• Maybe random graph theory could give researchers a way to understand and predict the apparently unexpected behaviors of large LLMs.
  — Quanta Magazine, 22 Jan. 2024
• 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
• The research team then applied graph theory—a method involving mathematical structures often used to study social networks—to analyze how different brain regions were connected and how those connections changed over time.
  — Hannah Millington, MSNBC Newsweek, 11 Aug. 2025
• 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