In the mathematical field of spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal ... |
The complete graph Kr as well as the bipartite graph Kr,r are easily seen to be Ramanujan (see the discussion in section 2). The Petersen graph (see Figure. 1) ... |
Abstract. We give a short survey of the theory of Ramanujan graphs. Beginning with basic notions, we introduce Cayley graphs and describe how. |
6 дней назад · An (n, k, λ)-graph Γ is called a Ramanujan graph if λ ≤ 2 √ k − 1 [1, 11] . It is well known that Ramanujan graphs are expander graphs [11]. ... |
There are two ways to construct relatively small Ramanujan graph: the random way and the deterministic way. In this paper, the deterministic methods for ... |
25 дек. 2014 г. · In the Hoory, Linial, Wigderson survey (see Section 2.4 and Definition 5.11), a d-regular graph is called Ramanujan if the maximum absolute ... Explicit constructions of Ramanujan graphs - MathOverflow Ramanujan graphs from varieties over finite fields - MathOverflow Ramanujan graph element in $\mathsf{PSL}(2, \mathbb{Z}_q) Matching polynomials and Ramanujan graphs - MathOverflow Другие результаты с сайта mathoverflow.net |
12 апр. 2016 г. · Abstract:The recent work by Marcus, Spielman and Srivastava proves the existence of bipartite Ramanujan (multi)graphs of all degrees and all ... |
A Ramanujan graph is a connected regular graph whose second largest eigenvalue in absolute value is asymptotically the smallest possible. In fact, Ramanujan ... |
1 февр. 2023 г. · We propose to interpret it through the lens of the Ramanujan Graph - a class of expander graphs that are sparse while being highly connected. |
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