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  2. Brouwer–Haemers graph - Wikipedia

    en.wikipedia.org/wiki/Brouwer–Haemers_graph

    The Brouwer–Haemers graph is the first in an infinite family of Ramanujan graphs defined as generalized Paley graphs over fields of characteristic three. [2] With the 3 × 3 {\displaystyle 3\times 3} Rook's graph and the Games graph , it is one of only three possible strongly regular graphs whose parameters have the form ( ( n 2 + 3 n − 1 ...

  3. Brouwer's conjecture - Wikipedia

    en.wikipedia.org/wiki/Brouwer's_conjecture

    Brouwer has confirmed by computation that the conjecture is valid for all graphs with at most 10 vertices. [1] It is also known that the conjecture is valid for any number of vertices if t = 1, 2, n − 1, and n. For certain types of graphs, Brouwer's conjecture is known to be valid for all t and for any number of vertices

  4. Spectral graph theory - Wikipedia

    en.wikipedia.org/wiki/Spectral_graph_theory

    The 1980 monograph Spectra of Graphs [16] by Cvetković, Doob, and Sachs summarised nearly all research to date in the area. In 1988 it was updated by the survey Recent Results in the Theory of Graph Spectra. [17] The 3rd edition of Spectra of Graphs (1995) contains a summary of the further recent contributions to the subject. [15]

  5. Strongly regular graph - Wikipedia

    en.wikipedia.org/wiki/Strongly_regular_graph

    Andries Brouwer and Hendrik van Maldeghem (see #References) use an alternate but fully equivalent definition of a strongly regular graph based on spectral graph theory: a strongly regular graph is a finite regular graph that has exactly three eigenvalues, only one of which is equal to the degree k, of multiplicity 1.

  6. Graph Fourier transform - Wikipedia

    en.wikipedia.org/wiki/Graph_Fourier_transform

    Analogously to the classical Fourier transform, the eigenvalues represent frequencies and eigenvectors form what is known as a graph Fourier basis. The Graph Fourier transform is important in spectral graph theory. It is widely applied in the recent study of graph structured learning algorithms, such as the widely employed convolutional networks.

  7. Path (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Path_(graph_theory)

    A three-dimensional hypercube graph showing a Hamiltonian path in red, and a longest induced path in bold black. In graph theory, a path in a graph is a finite or infinite sequence of edges which joins a sequence of vertices which, by most definitions, are all distinct (and since the vertices are distinct, so are the edges).

  8. Accounting Horizons - Wikipedia

    en.wikipedia.org/wiki/Accounting_Horizons

    Accounting Horizons is a quarterly peer-reviewed academic journal published by the American Accounting Association. It was established in 1987. It was established in 1987. The Association yearly presents the Accounting Horizons and Issues in Accounting Education Best Paper Awards.

  9. Jordan curve theorem - Wikipedia

    en.wikipedia.org/wiki/Jordan_curve_theorem

    The Brouwer fixed point theorem, by being sandwiched between the two equivalent theorems, is also equivalent to both. [ 6 ] In reverse mathematics, and computer-formalized mathematics, the Jordan curve theorem is commonly proved by first converting it to an equivalent discrete version similar to the strong Hex theorem, then proving the discrete ...