On the second eigenvalue of hypergraphs

Author: mlzi

August undefined, 2024

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 … Web14 de abr. de 2024 · We consider the spectral problem for the mixed local and nonlocal p-Laplace operator. We discuss the existence and regularity of eigenfunction of the …

On the first and second eigenvalue of finite and infinite uniform ...

WebThis 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 … Web8 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 … fnf sonic.exe d-side wiki

Eigenvalues of non-regular linear quasirandom hypergraphs

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 … 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. fnf sonic exe 3.0 fla

On the second eigenvalue of hypergraphs - Semantic Scholar

arXiv:1408.2425v2 [cs.DM] 30 Oct 2014

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]. Web1 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. greenville ms black historyWeb@MISC{Friedman89onthe, author = {Joel Friedman and Avi Wigderson}, title = {On the second eigenvalue of hypergraphs}, year = {1989}} Share. OpenURL . ... absolute value 3-uniform hypergraph second eigenvalue undirected d-regular graph uniform hypergraphs general notion adjacency matrix fnf sonic exe endless mod

"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 " - On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs

Least H-eigenvalue of adjacency tensor of hypergraphs with

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 … 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.

Did you know?

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: ... 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

Web9 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 … 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 …

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, Web1 de out. de 2013 · PDF The adjacency matrices for graphs are generalized to the adjacency tensors for uniform hypergraphs, ... On the second eigenvalue of …

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 vertices. This means, that any indices describing hyperarc aq have exactly one redundant vertex, either a duplicate of an output vertex or a duplicate of an input vertex.

WebSecond, 2HR-DR used the directed hypergraph convolution network, which needs the eigenvalue decomposition of Laplacion matrices when calculating the spectrum … greenville ms electric companyWeb14 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 … fnf sonic exe artWeb18 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 … greenville ms food stamp officeWebA model of regular infinite hypertrees is developed to mimic for hypergraphs what infinite trees do for graphs. Two notions of spectra, or “first eigenvalue,” are then examined for … fnf sonic exe eggmanWeb15 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 … greenville ms football player injuredWeb1 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. greenville mi to rockford miWebthreshold bound for the second eigenvalue of regular hypergraphs. Indeed, it is shown in Section 3 that there is an exact analogy to the graph case. We use it ﬁrst to set a lower … greenville mountaineer newspaper