On the adjacency spectra of hypertrees
WebOn the spectra of hypertrees. Francesc Comellas. 2008, Linear Algebra and Its Applications ... WebLecture 2: Spectra of Graphs Lecturer: Thomas Sauerwald & He Sun Our goal is to use the properties of the adjacency/Laplacian matrix of graphs to rst under-stand the structure of the graph and, based on these insights, to design e cient algorithms. The study of algebraic properties of graphs is called algebraic graph theory. One of the most useful
On the adjacency spectra of hypertrees
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Web29 de mar. de 2024 · adjacency sp ectra of hypert re es, Electr on. J. Combin., 25 (2)(2024) # P2.48) to weighted k-trees. As applications, two analogues of the above work … Web10 de set. de 2024 · The adjacency tensor of an -uniform hypergraph on vertices is defined as the tensor of order and dimension whose -entry is. ... W. Zhang, L. Kang, E. Shan, and Y. Bai, “The spectra of uniform hypertrees,” Linear Algebra and …
Web15 de jul. de 2024 · We apply this notion to the "adjacency hypermatrix" of a uniform hypergraph, and prove a number of natural analogues of basic results in Spectral Graph Theory. Open problems abound, and we present ... Web20 de mar. de 2024 · The k-uniform s-hypertree G = (V,E) is an s-hypergraph, where 1 ≤ s ≤ k - 1; and there exists a host tree T with vertex set V such that each edge of G induces a connected subtree of T.In this paper, some properties of uniform s-hypertrees are establised, as well as the upper and lower bounds on the largest H-eigenvalue of the …
Web29 de mar. de 2024 · The weighted matching polynomial of the weighted -tree $ (T,\w)$ is defined to be. where denotes the set of matchings (including empty set) of . In this paper, … Web1 de abr. de 2008 · Spectral properties The adjacency matrix of T m is A m = parenleftbigg A m−1 I I 0 parenrightbigg , (1) where the dimensions of each block are 2 m−1 × 2 m−1 …
Web15 de jul. de 2024 · Abstract. For 0 ≤ α < 1 and a k -uniform hypergraph H, the tensor Aα ( H) associated with H is defined as Aα ( H) = αD ( H) + (1 − α) A ( H ), where D (ℋ) and A ( H) are the diagonal tensor of degrees and the adjacency tensor of H, respectively. The α-spectra of H is the set of all eigenvalues of Aα ( H) and the α-spectral radius ...
Webthis description to give a spectral characterization of \power" hypertrees (de ned below). Here the notion of a hypergraph’s eigenpairs is the homogeneous adjacency spectrum, … how many cherries in a lbWebWe then use this to provide a spectral characterization for power hypertrees. Notably, the situation is quite different from that of ordinary trees, i.e., $2$-uniform trees. We … how many cherries is too muchWebGregory J. Clark Research Fellow Sa¨ıd Business School, University of Oxford [email protected] www.gregjclark.com Mathematical Research Interests: Spectral Hypergraph Theory, Computational Algebra, k-planar how many cherries to dieWebIn this paper, using the theory of matching polynomial of hypertrees introduced in [10], we determine the largest spectral radius of hypertrees with medges and given size of … how many cherries make a cupWebIn this paper we study the spectral properties of a family of trees characterized by two main features: they are spanning subgraphs of the hypercube, and their vertices bear a high … how many cherry ames books were writtenWeb5 de jan. de 2024 · Clark G J, Cooper J N. On the adjacency spectra of hypertrees. Electron J Combin, 2024, 25: P2.48. Article MathSciNet Google Scholar Cooper J, Dutle … high school freshman with size 23 feetWeb1 de abr. de 2008 · Semantic Scholar extracted view of "On The Spectra of Hypertrees" by L. Barrière et al. Skip to search form Skip to main content Skip to account menu. … high school freshman year age