On the second eigenvalue of hypergraphs

Author: vmua

August undefined, 2024

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 … WebON THE SECOND EIGENVALUE OF HYPERGRAPHS JOEL FRIEDMAN*, and AVI WIGDERSON Received November 7, 1989 Revised February 26, 1992 1. The Second …

ASSOCIATED TO GL(n,Fq)

WebLower 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-Boppana Theorem to hypergraphs. Publication: arXiv e-prints. Pub Date: December 2015 arXiv: arXiv:1512.02710 Bibcode: ... WebSecond, 2HR-DR used the directed hypergraph convolution network, which needs the eigenvalue decomposition of Laplacion matrices when calculating the spectrum … how do i make pad thai

Mathematics Free Full-Text Hyperbolic Directed Hypergraph …

Web1 de mar. de 1995 · On the second eigenvalue of hypergraphs. where n = V . Let G = (V,E) be a 3-uniform hypergraph; i.e. E is a subset of subsets of V of size 3. We consider … WebSinceG is of orderp(p−1), the correspondingt-uniform Cayley hypergraph has essentially optimal second eigenvalue for this degree and size of the graph (see [2] for definitions). ... J. Friedman, and A. Wigderson: On the second eigenvalue of hypergraphs,Combinatorica 15 (1995), 43–65. Web1 de jan. de 2005 · J.Kahn, Szemerédi, J.Friedman,On the second eigenvalue in random regular graphs, Proceedings of the 21st ACM STOC (1989). pp 587–598. Google Scholar L. Lovàsz, Covering and coloring of hypergraphs, Preceding of the 4th Sourtheastern how much milk is in milk chocolate

Loose laplacian spectra of random hypergraphs Random …

Report on DIMACS seminar series

WebLower 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 … Web6 de fev. de 2024 · Abstract. Chung, Graham, and Wilson proved that a graph is quasirandom if and only if there is a large gap between its first and second largest eigenvalue. Recently, the authors extended this characterization to coregular -uniform hypergraphs -uniform hypergraph is coregular. In this paper we remove the coregular … how do i make popcorn on the stoveWeb26 de jun. de 2024 · We determine all connected {K 1,3 , K 5 − e}-free graphs whose second largest eigenvalue does not exceed 1. Our result includes all connected line … how do i make pour paint

"Web1 de mar. de 1995 · On the second eigenvalue of hypergraphs. where n = V . Let G = (V,E) be a 3-uniform hypergraph; i.e. E is a subset of subsets of V of size 3. We consider the space, L (V ), of real valued functions on V with the usual inner product; let e1, . . . , en be the standard basis for L (V ), where ei takes the value 1 on the i-th vertex of V and 0 ... " - On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs

Spectral Properties of Hypergraph Laplacian and Approximation …

WebLeast 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 ... 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, hypergraphs and other algebraic structures can be discussed more precisely when upper and lower approximate relations of objects are to be dealt with soft set theory. In this …

Did you know?

Web2 Hypergraphs Second case: aout q [ain q = maxa 1 Given a hyperarc aq 2AH with aout q [ain q = maxa 1, then the hyperarc consists of n = aout q + ain q = maxa 1 different … Web17 de nov. de 2024 · We derive Cheeger inequalities for directed graphs and hypergraphs using the reweighted eigenvalue approach that was recently developed for vertex expansion in undirected graphs [OZ22,KLT22,JPV22]. The goal is to develop a new spectral theory for directed graphs and an alternative spectral theory for hypergraphs. The first …

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 …

Web1 de ago. de 2024 · Furthermore, we obtain a general upper bound on the order of a regular uniform hypergraph whose second eigenvalue is bounded by a given value. Our results improve and extend previous work done by Feng and Li (1996) on Alon–Boppana theorems for regular hypergraphs and by Dinitz et al. (2024) on the Moore or degree-diameter … 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.

WebFeb 2024 - Present2 years 3 months. Los Angeles County, California, United States. Autograph creates next-generation web3 experiences for the next billion users. $200M+ raised. [email protected].

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 . how much milk is required for 1 kg gheeWebIn 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, … how much milk is too muchWebOn the Second Eigenvalue of Hypergraphs, 1989. 1 item. Creator: Friedman, Joel and Wigderson, Avi. Collection Creator: Princeton University. Department of Computer … how do i make recurring sba loan paymentsWeb9 de dez. de 2015 · Lower bounds for the first and the second eigenvalue of uniform hypergraphs which are regular and linear are obtained. One of these bounds is a … how do i make qwant my default search engineWeb18 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 … how do i make rdr2 full screenWebrelate 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, how much milk is required for 1 kg paneerWeb1 de out. de 2013 · PDF The adjacency matrices for graphs are generalized to the adjacency tensors for uniform hypergraphs, ... On the second eigenvalue of hypergraphs, Combinatorica 15 (1) (1995) 43–65. how do i make print smaller on monitor