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algebraic graph theory

algebraic graph theory noun: the subbranch of graph theory in which algebraic methods are applied to problems about graphs.

Noun

algebraic graph theory (countable and uncountable, plural algebraic graph theories)

  1. (uncountable) The subbranch of graph theory in which algebraic methods are applied to problems about graphs.
    • The three main branches of algebraic graph theory involve the use of linear algebra, the use of group theory and the study of graph invariants.
    • The last section introduces elementary algebraic graph theory which is then applied to electrical networks.1979, Béla Bollobás, Graph Theory: An Introductory Course, Springer, page 26
  2. (countable, applied mathematics) A theory developed by applying algebraic graph theory to a particular problem or application.
    • Recently hybrid methods are proposed by Kaveh [2] and Kaveh et al. [18] which employ graph and algebraic graph theories simultaneously for domain decomposition of FE meshes and their nodal ordering.1999, B. Kumar, B. H. V. Topping, Developments in Analysis and Design Using Finite Element Methods, Civil-Comp Press, page 25
    • [A] decentralized continuous formation keeping approach using local relative measurements is proposed based on algebraic graph theories.2017, Danwei Wang, Baolin Wu, Eng Kee Poh, Satellite Formation Flying, Springer, page 102

Examples of algebraic graph theory in a sentence

  • Several famous results in algebraic graph theory, including one of the oldest, are formulae for the numbers of spanning trees of certain graphs.1993, Norman Biggs, Algebraic Graph Theory, 2nd edition, Cambridge University Press, page 38:
  • They were introduced by Hoffman and Singleton in a paper that can be viewed as one of the prime sources of algebraic graph theory.2013, Chris Godsil, Gordon F. Royle, Algebraic Graph Theory, Springer, page 77:

Forms of algebraic graph theory

pluralalgebraic graph theories

Questions about algebraic graph theory

What does algebraic graph theory mean?
Algebraic graph theory means the subbranch of graph theory in which algebraic methods are applied to problems about graphs.
How do you use algebraic graph theory in a sentence?
Several famous results in algebraic graph theory, including one of the oldest, are formulae for the numbers of spanning trees of certain graphs.
What part of speech is algebraic graph theory?
Algebraic graph theory is a noun.
What is the plural of algebraic graph theory?
The plural of algebraic graph theory is algebraic graph theories.

Words near algebraic graph theory in the dictionary

  1. algebraic geometer
  2. algebraic geometers
  3. algebraic geometries
  4. algebraic geometry
  5. algebraic graph theories
  6. algebraic graph theory
  7. algebraic group
  8. algebraic groups
  9. algebraic integer
  10. algebraic integers
  11. algebraic K-theory

Source and license

Adapted from Wiktionary: algebraic graph theory (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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