Dictionary

algebraic graph theory en · NOUN

Meanings

1. (uncountable) The subbranch of graph theory in which algebraic methods are applied to problems about graphs.
   • 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:
   • Graphs with diameter d and girth 2d#43;1 are known as Moore graphs. 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:
   • 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.
   • 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:
2. (countable, qualifier:applied mathematics) A theory developed by applying algebraic graph theory to a particular problem or application.
   • 2019, Zhi-Hong Guan, Bin Hu, Xuemin (Sherman) Shen, Introduction to Hybrid Intelligent Networks, Springer, page 22, Mathematical tools such as hybrid dynamical systems, complex networks, differential equations, and algebraic graph theories are introduced for modeling and analyzing the hybrid intelligent networks.
   • [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:
   • 1999, B. Kumar, B. H. V. Topping, Developments in Analysis and Design Using Finite Element Methods, Civil-Comp Press, page 25, 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.

Forms

Translations (6)

it teoria algebrica dei grafi (branch of graph theory) · hy հանրահաշվական գրաֆների տեսություն (branch of graph theory) · pl algebraiczna teoria grafów (branch of graph theory) · fi algebrallinen verkkoteoria (branch of graph theory) · fr théorie algébrique des graphes (branch of graph theory) · de algebraische Graphentheorie (branch of graph theory)