Spectral moments of hypertrees and their applications
Lixiang Chen, Changjiang Bu, Jiang Zhou
Abstract
The formula for the spectral moment of graphs which is represented by the number of subgraphs is called the RNS spectral moment formula of graphs. In this paper, the research on the RNS spectral moment formula of graphs is generalized to hypergraphs. We give a formula for the spectral moment of a hypertree in terms of the number of some subhypertrees. Using this formula, we obtain the first 3k codegree coefficients of the characteristic polynomial of a k-uniform hypertree in terms of the number of some subhypertrees.
Topics & Concepts
MathematicsHyperbolic treeMoment (physics)Spectral propertiesPolynomialCombinatoricsPure mathematicsMathematical analysisHyperbolic geometryPhysicsDifferential geometryAstrophysicsClassical mechanicsTensor decomposition and applicationsGraph theory and applicationsMatrix Theory and Algorithms