Work

Constructing the r-uniform supertrees with the same spectral radius and matching energy

Year: 2025

Type: article

Abstract: An r-uniform supertree is a connected and acyclic hypergraph of which each edge has r vertices, where r ? 3. We propose the concept of matching energy for an r-uniform hypergraph, which is defined as the sum of the absolute value of all the eigenvalues of its matching polynomial. With the aid of the matching polynomial of an r-uniform supertree, three pairs of r-uniform supertrees with the same spectral radius and the same matching energy are constructed, and two infinite families of r-uniform supertrees with the same spectral radius and the same matching energy are characterized. Some known results about the graphs with the same spectra regarding to their adjacency matrices can be naturally deduced from our new results.

Source: Filomat

DOI: 10.2298/fil2509881z

Authors: Jin-Xiu Zhou, Wen-Huan Wang

Institution: Shanghai University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Natural Science Foundation of Shanghai, National Natural Science Foundation of China

Awards: G335204737, 超图谱若干极值问题的研究