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  2. 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

  3. 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]

  4. 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 ...

  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. Andries Brouwer - Wikipedia

    en.wikipedia.org/wiki/Andries_Brouwer

    Andries Evert Brouwer (born 1951) is a Dutch mathematician and computer programmer, Professor Emeritus at Eindhoven University of Technology (TU/e). He is known as the creator of the greatly expanded 1984 to 1985 versions of the roguelike computer game Hack that formed the basis for NetHack . [ 1 ]

  7. The 5 Best Drinks if You're Taking Weight Loss ... - AOL

    www.aol.com/lifestyle/5-best-drinks-youre-taking...

    “It’s calorie-free and one of the most hydrating beverages available. Staying hydrated promotes digestion, helps manage blood sugar levels and keeps the body functioning at its best.”

  8. 6 tips to reduce alcohol use and cancer risk after surgeon ...

    www.aol.com/6-tips-reduce-alcohol-cancer...

    U.S. Surgeon General Dr. Vivek Murthy warned in a recent advisory about alcohol use increasing cancer risk. The advisory notes that alcohol can increase the risk of throat, liver, esophageal ...

  9. Pat Riley says Heat are not trading Jimmy Butler - AOL

    www.aol.com/pat-riley-says-heat-not-190552693.html

    Butler is earning $49 million this season and has a $52 million player option for the 2025-26 campaign, which he reportedly intends to decline to become a free agent in July.