On the second eigenvalue of hypergraphs

Author: kxtn

August undefined, 2024

WebIn this paper we consider spectral extremal problems for hypergraphs. We give two general criteria under which such results may be deduced from “strong stability” forms of the …

On the second eigenvalue of hypergraphs - Semantic Scholar

Web10 de abr. de 2024 · Rough soft knowledge is a key approach to understand and model uncertain, vague and not clearly defined situations in a parametric manner. Graphs, … WebLower bounds for the first and the second eigenvalue of uniform regular hypergraphs are obtained. One of these bounds is a generalization of the Alon–Boppana Theorem to … rc willey promo

Novel group decision making approach based on the rough soft ...

WebSecond, 2HR-DR used the directed hypergraph convolution network, which needs the eigenvalue decomposition of Laplacion matrices when calculating the spectrum convolution of hypergraphs, and that requires that the Laplacian matrices are real symmetric matrices (we are not able to ensure that non-symmetric matrices can certainly perform … Web15 de out. de 2013 · We call λ b the smallest Z-eigenvalue of the adjacency tensor T A for r-uniform hypergraph G, denoted as λ b (G). We call λ 1 the largest Z-eigenvalue of the … Web1 de dez. de 2012 · J. Friedman, On the second eigenvalue and random walks in randomd-regular graphs, Combinatorica 11 (1991), 331–362. Google Scholar Cross Ref J. Friedman, A Proof of Alon's second eigenvalue conjectureand related problem, Memoirs of the American Mathematical Society, 2008, p. 100. simum definition in the alchemist

CiteSeerX — On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs - Springer

WebIo the largest eigenvalue; 2° the second largest eigenvalue; 3° the smallest positive eigenvalue; 4° the largest negative eigenvalue; 5° the second smallest eigenvalue; 6° the smallest eigenvalue. For a survey on the largest eigenvalue of a graph see the paper [27] by D. Cvetkovic and P. Rowiinson (see also [26], the third edition, pp. 381 ... WebLenz and Mubayi [LM12, LM15, LM13] related the eigenvector corresponding to the second largest eigenvalue of the canonical tensor to hypergraph quasi-randomness. Chung [Chu93] deﬁned a notion of Laplacian for hypergraphs and studied the relationship between its eigenvalues and a very different notion of hypergraph cuts and homologies. sim unlock cheapWebSecond, 2HR-DR used the directed hypergraph convolution network, which needs the eigenvalue decomposition of Laplacion matrices when calculating the spectrum … rc willey protection plan

"Andrei Broder, and Eli Shamir: On the second eigenvalue of random regular graphs, In28th Annual Symposium on Foundations of Computer Science, (1987) 286–294. F. Bruhat, and J. Tits:Publ. Math. IHES, 1971. B. Chor, and O. Goldriech: Unbiased bits from sources of weak randomness and probabilistic communication complexity,FOCS, (1985), 429–442. " - On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs

p-Laplacian Operators on Hypergraphs arXiv:2304.06468v1 …

WebThe second seminar of the 1989/90 academic year was held at Princeton on December 11, 1989 . Titles and abstracts of the talks follow . Joel Friedman (Princeton) : The Second Eigenvalue of Hypergraphs Abstract: We define a notion of second eigenvalue for regular hypergraphs. It turns out that a random hypergraph has a very small second eigenvalue . Webrelate the eigenvector corresponding to the second largest eigenvalue of the canonical tensor to hypergraph quasi-randomness. Chung [Chu93] deﬁnes a notion of Laplacians for hypergraphs and studies the relationship between its eigenvalues and a very di erent notion of hypergraph cuts and homologies. [PRT12, SKM12,

Did you know?

WebIn a series of recent works, we have generalised the consistency results in the stochastic block model literature to the case of uniform and non-uniform hypergraphs. The present paper continues the same line of study, … Web1 de set. de 1996 · Abstract. To a regular hypergraph we attach an operator, called its adjacency matrix, and study the second largest eigenvalue as well as the overall distribution of the spectrum of this operator. Our definition and results extend naturally what is known for graphs, including the analogous threshold bound [formula]for k -regular …

Web30 de jul. de 2013 · Abstract. We study both H and E / Z -eigenvalues of the adjacency tensor of a uniform multi-hypergraph and give conditions for which the largest positive H … Web18 de jun. de 2024 · In this paper, we use the conjugate gradient method with a simple line search, which can reduce the number of computations of objective functions and gradients, to compute the largest H-eigenvalue of the large-scale tensors generated from uniform directed hypergraphs. For this kind of tensor, we provide a fast tensor-vector product …

WebKey words: H-eigenvalue, clique, coclique, hypergraph, tensor, signless Laplacian, Laplacian, adjacency MSC (2010): 05C65; 15A18 1 Introduction In the current combinatorics and graph theory associative literatures, a growing number of them studied hypergraphs and their applications in various ﬁelds [1,3,7] because hypergraphs Web1 de jul. de 2016 · br0070 J. Friedman, Some graphs with small second eigenvalue, Combinatorica, 15 (1995) 31-42. Google Scholar Digital Library; br0080 J. Friedman, A. Wigderson, On the second eigenvalue of hypergraphs, Combinatorica, 15 (1995) 43-65. Google Scholar Digital Library

Web15 de nov. de 2013 · Second, can we calculate all Laplacian H-eigenvalues for some special k-uniform hypergraphs, such as sunflowers and loose cycles? This is useful if …

Web14 de jan. de 2015 · For each of the quasirandom properties that is described, we define the largest and the second largest eigenvalues. We show that a hypergraph satisfies … rc willey ovensWebLeast eigenvalue 4. Second largest eigenvalue 5. Other eigenvalues of the adjacency matrix 6. Laplacian eigenvalues 7. Signless Laplacian eigenvalues 8. … Expand. 56. Save. Alert. Steiner Trees in Graphs and Hypergraphs. M. Brazil ... the Steiner tree problem in graphs and the Steiner tree problem in hypergraphs. Also, we consider the minimum ... rc willey outdoor tableWeb6 de jul. de 2024 · We generalize the classical sharp bounds for the largest eigenvalue of the normalized Laplace operator, N/ (N-1)\leq \lambda_N\leq 2, to the case of chemical hypergraphs. 1. Introduction. In [ 1 ], the author together with Jürgen Jost introduced the notion of chemical hypergraph, that is, a hypergraph with the additional structure that … simunlocker for windowsWebLower bounds for the first and the second eigenvalue of uniform hypergraphs which are regular and linear are obtained. One of these bounds is a generalization of the Alon … rc willey outdoor furniture teak tableWeb18 de fev. de 2024 · Then is the coalescence of two nontrivial connected sub-hypergraphs (called branches) at a cut vertex. Let be the adjacency tensor of . The least H … sim university of sydneyWeb1 de jul. de 2024 · Let G be a connected hypergraph with even uniformity, which contains cut vertices. Then G is the coalescence of two nontrivial connected sub-hypergraphs (called branches) at a cut vertex. Let $$\\mathscr{A}(G)$$ A ( G ) be the adjacency tensor of G. The least H-eigenvalue of $$\\mathscr{A}(G)$$ A ( G ) refers to the least real … rc willey outlet provoWebThis paper studies how to compute all real eigenvalues, associated to real eigenvectors, of a symmetric tensor. As is well known, the largest or smallest eigenvalue can be found by solving a polynomial optimization problem, while the other middle ones cannot. We propose a new approach for computing all real eigenvalues sequentially, from the largest to the … simunition weapons