Graphs Defined on Rings: A Review

S Madhumitha, S Naduvath - Mathematics, 2023 - mdpi.com
The study on graphs emerging from different algebraic structures such as groups, rings,
fields, vector spaces, etc. is a prominent area of research in mathematics, as algebra and …

Integral equienergetic non-isospectral unitary Cayley graphs

RA Podestá, DE Videla - Linear Algebra and its Applications, 2021 - Elsevier
We prove that the Cayley graphs X (G, S) and X+(G, S) are equienergetic for any abelian
group G and any symmetric subset S. We then focus on the family of unitary Cayley graphs …

Hypergraph ontology sparse vector representation and its application to ontology learning

L Zhu, W Gao - International Conference on Data Mining and Big Data, 2021 - Springer
Data representation is the first step in computer science modeling, and the performance of
the algorithm directly affects the efficiency of the algorithm. For structural data, graphs and …

[PDF][PDF] Laplacian spectrum of the unit graph associated to the ring of integers modulo pq

W Fakieh, A Alsaluli, H Alashwali - AIMS Mathematics, 2024 - aimspress.com
Let R be a ring and U (R) be the set of unit elements of R. The unit graph G (R) of R is the
graph whose vertices are all the elements of R, defining distinct vertices x and y to be …

[PDF][PDF] Laplacian Spectrum of the Unit Graph Associated to the Ring of Integers

W Fakieh, A Alsaluli, H Alashwali - pdfs.semanticscholar.org
Let R be a ring and U (R) be the set of unit elements of R. The unit graph G (R) of R is the
graph whose vertices are all the elements of R and defining distinct vertices x and y to be …