On the second eigenvalue of hypergraphs

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August undefined, 2024

Web14 de jun. de 2015 · Joel Friedman and Avi Wigderson, On the second eigenvalue of hypergraphs, Combinatorica 15 (1995), no. 1, 43--65. Google Scholar; Patrick Girard, L Guiller, C Landrault, and Serge Pravossoudovitch, Low power bist design by hypergraph partitioning: methodology and architectures, Test Conference, 2000. 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 spectrum and linear programming bound for hypergraphs

Web@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 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 … list of christian comedians

On the Second Eigenvalue of 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 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 … 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, list of christian colleges in california

Spectral Extremal Problems for Hypergraphs SIAM Journal on …

ASSOCIATED TO GL(n,Fq)

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 … 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 ... images of uruguay flag list of christian colleges in missouri

"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: ... " - On the second eigenvalue of hypergraphs

On the second eigenvalue of hypergraphs

Principal eigenvectors and spectral radii of uniform hypergraphs

Web1 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 … Web1 de mai. de 2024 · On the spectral radius of a class of non-odd-bipartite even uniform hypergraphs. Linear Algebra Appl., 480 (2015), pp. 93-106. View PDF View article View in Scopus Google Scholar [10] ... Finding the largest eigenvalue of a nonnegative tensor. SIAM J. Matrix Anal. Appl., 31 (2009), pp. 1090-1099. View in Scopus Google Scholar …

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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. 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 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 ... 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.

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 … 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.

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WebOn the Second Eigenvalue of Hypergraphs, 1989. 1 item. Creator: Friedman, Joel and Wigderson, Avi. Collection Creator: Princeton University. Department of Computer … list of christian countryWebON THE SECOND EIGENVALUE OF HYPERGRAPHS JOEL FRIEDMAN*, and AVI WIGDERSON Received November 7, 1989 Revised February 26, 1992 1. The Second … images of usagesWeb15 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 … images of urukWeb1 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. images of urothelial carcinoma of the bladderWeb1 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 images of usac sprint carsWeb18 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 … list of christian deathcore bandsWebIn 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, … list of christian cults