# Energy and Adjacency Spectra of Semigraphs

## TL;DR

This paper investigates the spectral properties and energy bounds of semigraphs, providing tight bounds and explicit enumeration for a specific class of rooted 3-uniform semigraphs.

## Contribution

It introduces new bounds on the energy of semigraphs and explicitly enumerates spectra for a particular class of rooted 3-uniform semigraphs.

## Key findings

- Established tight bounds on semigraph energy
- Explicitly enumerated spectra of rooted 3-uniform semigraphs
- Provided insights into the spectral structure of semigraphs

## Abstract

In this paper, we study the energy of semigraphs and obtain some bounds, and show that one of the bounds is tight. We also study the spectra of the adjacency matrix of a special type of rooted 3-uniform semigraph and enumerate those explicitly.