On the adjacency spectra of hypertrees
http://emis.math.tifr.res.in/journals/EJC/ojs/index.php/eljc/article/download/v25i2p48/pdf/ 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, …
On the adjacency spectra of hypertrees
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Web4 de nov. de 2024 · On the Adjacency Spectra of Hypertrees. Electron. J. Comb. We show that $\lambda$ is an eigenvalue of a $k$-uniform hypertree $ (k \geq 3)$ if and only … WebIn 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 …
WebIn 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 … 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 …
WebIn 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 degree of (connectedness) hierarchy. Such structures are here called binary hypertrees and they can be recursively defined as the so-called hierarchical product of several … Web25 de set. de 2012 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv …
WebOn the Adjacency Spectra of Hypertrees Gregory J. Clark and Joshua N. Cooper Department of Mathematics University of South Carolina October 14, 2024 Abstract We …
Webbinary hypertrees and they can be recursively defined as the so-called hierarchical product of several complete graphs on two vertices. AMS classification: 05C50, 05C05. Key words: Graph operation, Hierarchical product, Tree, Adjacency matrix, Spectrum. 1 Introduction Many networks associated to real-life complex systems have a hierarchical how far is lynn ma from danvers maWebWe 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 … highberry music festivalWeb19 de jul. de 2014 · Some spectral properties and characterizations of connected odd-bipartite uniform hypergraphs. J. Shao, H. Shan, Baofeng Wu. Mathematics. 2014. A … highberry boutique winery \\u0026 function venueWeb4 de nov. de 2024 · We then use this to provide a spectral characterization for power hypertrees. Notably, the situation is quite different from that of ordinary trees, i.e., $2$ … highberry farms facebookWeb20 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 … highberry festivalWebIn 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 matching. The structure of the remaining part of the paper is as follows: In Section 2, we give some basic de nitions and results for tensor and spectra of hypergraphs. highberry woodsWebLecture 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 highberry farm