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This is a Quantitative Study study.

October 9, 2025Boletim da Sociedade Paranaense de MatemáticaOpen Access

A note on the energy of graphs with self-loops

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The study computes the energy of specific extended bipartite graphs, demonstrating their unique spectral properties.
Key findings reveal that the energy of graphs can vary significantly due to the presence of self-loops.
Methods introduced for constructing cospectral graphs with self-loops could enhance understanding in graph theory.
This analysis highlights the potential for new insights in the study of graph spectra and energies.

Implication

This note computes the spectra and energy of bipartite graphs with self-loops, suggesting new construction methods for cospectral graphs.

Abstract

In this paper, we compute the spectra of some extended (bipartite) double graphs with self-loops and compare their energies. We also give a method to construct cospectral graphs with self loops.

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Cite This Study

Rakshith et al. (2025) studied this question.

synapsesocial.com/papers/68e70da790569dd607ee5b45 https://doi.org/10.5269/bspm.77310

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Implication

This note computes the spectra and energy of bipartite graphs with self-loops, suggesting new construction methods for cospectral graphs.

Abstract

In this paper, we compute the spectra of some extended (bipartite) double graphs with self-loops and compare their energies. We also give a method to construct cospectral graphs with self loops.

A note on the energy of graphs with self-loops

Key Points

Implication

Abstract

Discussion

Cite This Study

A note on the energy of graphs with self-loops

Key Points

Implication

Abstract

Discussion

Cite This Study

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