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A characterization of rings whose unitary Cayley graphs are planar

Journal of Algebra and its Applications, 2017
Let [Formula: see text] be a ring with identity. The unitary Cayley graph of [Formula: see text] is the simple graph with vertex set [Formula: see text], where two distinct vertices [Formula: see text] and [Formula: see text] are linked by an edge if and
H. Su, Yiqiang Zhou
semanticscholar   +1 more source

Unitary Cayley graphs of finite semisimple rings

Discrete Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tangsakul, Thanatach, Meemark, Yotsanan
openaire   +1 more source

UNITARY DIVISOR ADDITION CAYLEY GRAPHS

Advances in Mathematics: Scientific Journal, 2020
C. Thilaga, P. B. Sarasija
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Perfect codes in unitary Cayley graphs

In this project, we find a criterion in which there exists a subgroup H of Zn being a perfect code in the graph Cay (Zn, Zxn). We also show that the subgroups SL₂(Fq), U, A and K are perfect codes of GL₂(Fq) and determine if they are total perfect codes.
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Energy of unitary cayley graphs and GCD-Graphs

This work is based on ideas of Ilic on the energy of unitary Cayley graph. We study the eigenvalues of the unitary Cayley graph of a finite commutative ring and some gcd-graphs and compute their energy. Moreover, we apply these results to obtain the energy of the complement of unitary Cayley graphs and of the restricted unitary Cayley graphs on ...
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Subgraph of unitary Cayley graph of matrix algebras induced by idempotent matrices

Discrete Mathematics
Jitsupat Rattanakangwanwong   +1 more
semanticscholar   +1 more source

Domination in generalized unit and unitary Cayley graphs of finite rings

Indian journal of pure and applied mathematics, 2019
T. Tamizh Chelvam   +2 more
semanticscholar   +2 more sources

Neighborhood degree sum-based molecular descriptors of fractal and Cayley tree dendrimers

European Physical Journal Plus, 2021
Sourav Mondal, Nilanjan De, Anita Pal
exaly  

COLORABILITY OF UNITARY ADDITION CAYLEY GRAPHS

Far East Journal of Mathematical Sciences (FJMS), 2016
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