On the second eigenvalue of 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 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 …
On the second eigenvalue of hypergraphs
Did you know?
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 … 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 …
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 … WebOn the Second Eigenvalue of Hypergraphs, 1989. 1 item. Creator: Friedman, Joel and Wigderson, Avi. Collection Creator: Princeton University. Department of Computer …
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). … 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 …
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 …
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 … impacting testingWebLenz 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. impacting the communityWeb1 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 … lists of skills and abilitiesWeb9 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 … lists of states in alphabetical orderWeb18 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 … impacting the tax gapWeb8 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 … lists of safety for toddlerslists of scopus indexed journals