# The Kite Graph is Determined by Its Adjacency Spectrum

## TL;DR

This paper proves that the Kite graph's structure can be uniquely identified by its adjacency spectrum, establishing it as determined by spectral data.

## Contribution

The paper demonstrates that the Kite graph is uniquely determined by its adjacency spectrum, a new spectral characterization result.

## Key findings

- Kite graphs are determined by their adjacency spectrum.
- Spectral characterization distinguishes Kite graphs from other graphs.
- The result advances understanding of spectral graph theory.

## Abstract

The Kite graph $Kite_{p}^{q}$ is obtained by appending the complete graph $K_{p}$ to a pendant vertex of the path $P_{q}$. In this paper, the kite graph is proved to be determined by the spectrum of its adjacency matrix.