On the second eigenvalue of hypergraphs

Author: fapf

August undefined, 2024

WebA 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 … 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.

Mathematics Free Full-Text Hyperbolic Directed Hypergraph …

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 … 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 … pools corner pei

The Spectra of Infinite Hypertrees SIAM Journal on Computing

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, … Web31 de out. de 2000 · SOME RAMANUJAN HYPERGRAPHS ASSOCIATED TO GL(n,Fq) MARIA G. MARTINEZ, HAROLD M. STARK, ... Thus k is an eigenvalue of A. Moreover, the eigenvalues A of the adjacency matrix of a ... Now we turn to a study of the second type of hypergraph. Definition 3.2. For a C Fq, the mu hypergraph ,un(a) ... 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. pool score sheet template

On Spectral Hypergraph Theory of the Adjacency Tensor

On the spectrum and linear programming bound for hypergraphs

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 . 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. pools constructionWeb18 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 … shared demise

"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 … " - On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs

$Some properties on $\alpha $ -least eigenvalue of uniform hypergraphs …$

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, … 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 …

Did you know?

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 … 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].

Web26 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 … 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 ...

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 … Webthreshold 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 …

Web6 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 …

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 … pools cottages crackley lane kenilworthWeb1 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 ... shared demographicsWebrelate 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, shared demoWeb8 de mar. de 2024 · Fan Y-Z, Wang Y, Bao Y-H, Wan J-C, Li M, Zhu Z (2024) Eigenvectors of Laplacian or signless Laplacian of hypergraphs associated with zero eigenvalue. Linear Algebra Appl 579:244–261. Article MathSciNet Google Scholar Fan L, Zhu Z, Wang Y (2024) Least H-eigenvalue of adjacency tensor of hypergraphs with cut vertices. shared delusionsWeb17 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 … shared delusional psychosisWeb1 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 … pools corinth msWeb30 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 … pools corpus christi