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- W1567694604 abstract "THE SEARCH OF GRAPHS EQUIENERGETIC WITH EDGE DELETED SUBGRAPH by Wilson A. Florero The energy of a graph is the sum of the absolute values of the eigenvalues of its adjacency matrix. Two graphs are equienergetic if they have the same energy. We are particularly interested in finding graphs which are equienergetic with a subgraph having one edge less. We begin our study of the equienergecity problem by using various MATLAB scripts to search for graphs with the described property. Using the acquired data as our foundation, we demonstrate how some of the examples found belong to an infinite family of graphs with equienergetic subgraphs having one edge less. Additionally, for those graphs whose generalization is unknown, we explain some of our findings and provide conjectures. We end our study by extending some of our theoretical results to equienergetic graphs with more than one edge removed, and provide more problems for further study." @default.
- W1567694604 created "2016-06-24" @default.
- W1567694604 creator A5043836874 @default.
- W1567694604 date "2019-05-03" @default.
- W1567694604 modified "2023-09-26" @default.
- W1567694604 title "The search of graphs equienergetic with edge deleted subgraph" @default.
- W1567694604 cites W1972151784 @default.
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- W1567694604 doi "https://doi.org/10.31979/etd.jvr4-kex7" @default.
- W1567694604 hasPublicationYear "2019" @default.
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