On the second eigenvalue of hypergraphs

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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-Boppana Theorem to hypergraphs. Publication: arXiv e-prints. Pub Date: December 2015 arXiv: arXiv:1512.02710 Bibcode: ... 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,

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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. 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 … greensboro republican women\u0027s club

Spectral Properties of Hypergraph Laplacian and Approximation …

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]. 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 … 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 greensboro rent to own homes

On the Z-eigenvalues of the adjacency tensors for …

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. 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, … fmcsa leave of absenceWeb17 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 … greensboro refrigerator duquene light pick up

"Web1 de mar. de 1995 · On the second eigenvalue of hypergraphs; research-article . Free Access. On the second eigenvalue of hypergraphs. Authors: Joel Friedman. … " - On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs

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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 … 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 …

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

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 … WebOn the Second Eigenvalue of Hypergraphs, 1989. 1 item. Creator: Friedman, Joel and Wigderson, Avi. Collection Creator: Princeton University. Department of Computer …

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 … 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.

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 … fmcsa log book trainingWeb1 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 … fmcsa list of sapWebSinceG 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. fmcsa livestock hours of serviceWeb18 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 … greensboro republican party headquartersWebthreshold 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 … fmcsa login customer serviceWebIf u;v;wis a triple achieving the above sup, we shall call (u;v;w)oru v wan eigenvector.We can also de ne d-regular for a general trilinear form as above, and therefore extend the notion … greensboro review submission managerWeb@MISC{Friedman89onthe, author = {Joel Friedman and Avi Wigderson}, title = {On the second eigenvalue of hypergraphs}, year = {1989}} Share. OpenURL . ... absolute … fmc salt river dialysis